Triple

T4202399
Position Surface form Disambiguated ID Type / Status
Subject Solomon Lefschetz E86097 entity
Predicate notableWork P4 FINISHED
Object L’Analysis Situs et la Géométrie Algébrique
L’Analysis Situs et la Géométrie Algébrique is a foundational mathematical treatise that helped establish modern algebraic topology and its connections with algebraic geometry.
E420796 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: L’Analysis Situs et la Géométrie Algébrique | Statement: [Solomon Lefschetz, notableWork, L’Analysis Situs et la Géométrie Algébrique]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: L’Analysis Situs et la Géométrie Algébrique
Context triple: [Solomon Lefschetz, notableWork, L’Analysis Situs et la Géométrie Algébrique]
  • A. Éléments de géométrie algébrique
    Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
  • B. Séminaire de Géométrie Algébrique du Bois Marie
    Séminaire de Géométrie Algébrique du Bois Marie is a foundational multi-volume series of advanced seminars that reshaped modern algebraic geometry through the development of schemes, cohomology theories, and the Grothendieck school’s methods.
  • C. GAGA (Géométrie Algébrique et Géométrie Analytique)
    GAGA (Géométrie Algébrique et Géométrie Analytique) is Jean-Pierre Serre’s foundational 1956 paper establishing deep equivalences between algebraic geometry and complex analytic geometry, particularly for projective varieties.
  • D. Singular Points of Complex Hypersurfaces
    "Singular Points of Complex Hypersurfaces" is a foundational monograph in singularity theory that systematically studies the local and topological properties of singularities arising in complex algebraic and analytic hypersurfaces.
  • E. Cohomologie Galoisienne
    Cohomologie Galoisienne is a foundational monograph by Jean-Pierre Serre that systematically develops Galois cohomology and its deep applications in number theory and algebraic geometry.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: L’Analysis Situs et la Géométrie Algébrique
Triple: [Solomon Lefschetz, notableWork, L’Analysis Situs et la Géométrie Algébrique]
Generated description
L’Analysis Situs et la Géométrie Algébrique is a foundational mathematical treatise that helped establish modern algebraic topology and its connections with algebraic geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: L’Analysis Situs et la Géométrie Algébrique
Target entity description: L’Analysis Situs et la Géométrie Algébrique is a foundational mathematical treatise that helped establish modern algebraic topology and its connections with algebraic geometry.
  • A. Éléments de géométrie algébrique
    Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
  • B. Séminaire de Géométrie Algébrique du Bois Marie
    Séminaire de Géométrie Algébrique du Bois Marie is a foundational multi-volume series of advanced seminars that reshaped modern algebraic geometry through the development of schemes, cohomology theories, and the Grothendieck school’s methods.
  • C. GAGA (Géométrie Algébrique et Géométrie Analytique)
    GAGA (Géométrie Algébrique et Géométrie Analytique) is Jean-Pierre Serre’s foundational 1956 paper establishing deep equivalences between algebraic geometry and complex analytic geometry, particularly for projective varieties.
  • D. Singular Points of Complex Hypersurfaces
    "Singular Points of Complex Hypersurfaces" is a foundational monograph in singularity theory that systematically studies the local and topological properties of singularities arising in complex algebraic and analytic hypersurfaces.
  • E. Cohomologie Galoisienne
    Cohomologie Galoisienne is a foundational monograph by Jean-Pierre Serre that systematically develops Galois cohomology and its deep applications in number theory and algebraic geometry.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69aed93b89f48190a31f6d57c760e42f completed March 9, 2026, 2:29 p.m.
NER Named-entity recognition batch_69af037f1de4819088d6bf544317a694 completed March 9, 2026, 5:29 p.m.
NED1 Entity disambiguation (via context triple) batch_69b58a173a78819094915f63c8411602 completed March 14, 2026, 4:17 p.m.
NEDg Description generation batch_69b58e1e7bc08190b75486c74953f609 completed March 14, 2026, 4:34 p.m.
NED2 Entity disambiguation (via description) batch_69b58e7a208481909056b6fba4597bf4 completed March 14, 2026, 4:36 p.m.
Created at: March 9, 2026, 3:49 p.m.