Triple

T6642033
Position Surface form Disambiguated ID Type / Status
Subject Marin Mersenne E150608 entity
Predicate knownFor P22 FINISHED
Object Mersenne’s laws of vibrating strings
Mersenne’s laws of vibrating strings are early 17th-century mathematical relations that quantify how a string’s frequency depends on its length, tension, and mass per unit length, forming a foundation of musical acoustics and wave theory.
E609411 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: Mersenne’s laws of vibrating strings | Statement: [Marin Mersenne, knownFor, Mersenne’s laws of vibrating strings]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Mersenne’s laws of vibrating strings
Context triple: [Marin Mersenne, knownFor, Mersenne’s laws of vibrating strings]
  • A. The Theory of Sound
    The Theory of Sound is Lord Rayleigh’s landmark two-volume treatise that systematically established the mathematical and experimental foundations of acoustics.
  • B. The Dynamical Theory of Sound
    The Dynamical Theory of Sound is a foundational treatise by mathematician and physicist Horace Lamb that rigorously develops the mathematical principles underlying acoustics and wave propagation.
  • C. The Science of Musical Sound
    The Science of Musical Sound is a book by engineer and acoustics researcher John R. Pierce that explains the physical and perceptual principles underlying how music and sound are produced, transmitted, and heard.
  • D. The Physics of Music
    The Physics of Music is a foundational text that explains how physical principles such as vibration, resonance, and wave behavior give rise to musical sounds and acoustical phenomena.
  • E. Pythagorean harmony of the spheres
    The Pythagorean harmony of the spheres is an ancient philosophical and cosmological concept proposing that the movements of celestial bodies produce a hidden, mathematically ordered music reflecting the harmony of the universe.
  • 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: Mersenne’s laws of vibrating strings
Triple: [Marin Mersenne, knownFor, Mersenne’s laws of vibrating strings]
Generated description
Mersenne’s laws of vibrating strings are early 17th-century mathematical relations that quantify how a string’s frequency depends on its length, tension, and mass per unit length, forming a foundation of musical acoustics and wave theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Mersenne’s laws of vibrating strings
Target entity description: Mersenne’s laws of vibrating strings are early 17th-century mathematical relations that quantify how a string’s frequency depends on its length, tension, and mass per unit length, forming a foundation of musical acoustics and wave theory.
  • A. The Theory of Sound
    The Theory of Sound is Lord Rayleigh’s landmark two-volume treatise that systematically established the mathematical and experimental foundations of acoustics.
  • B. The Dynamical Theory of Sound
    The Dynamical Theory of Sound is a foundational treatise by mathematician and physicist Horace Lamb that rigorously develops the mathematical principles underlying acoustics and wave propagation.
  • C. The Science of Musical Sound
    The Science of Musical Sound is a book by engineer and acoustics researcher John R. Pierce that explains the physical and perceptual principles underlying how music and sound are produced, transmitted, and heard.
  • D. The Physics of Music
    The Physics of Music is a foundational text that explains how physical principles such as vibration, resonance, and wave behavior give rise to musical sounds and acoustical phenomena.
  • E. Pythagorean harmony of the spheres
    The Pythagorean harmony of the spheres is an ancient philosophical and cosmological concept proposing that the movements of celestial bodies produce a hidden, mathematically ordered music reflecting the harmony of the universe.
  • 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_69c687f1a3048190828b7342f7125d5c completed March 27, 2026, 1:36 p.m.
NER Named-entity recognition batch_69c6aff5da8881909a512c1c82eb882a completed March 27, 2026, 4:27 p.m.
NED1 Entity disambiguation (via context triple) batch_69c6eeef3f7481909929838858225f41 completed March 27, 2026, 8:56 p.m.
NEDg Description generation batch_69c6f0a1149c8190af55a613eada84b6 completed March 27, 2026, 9:03 p.m.
NED2 Entity disambiguation (via description) batch_69c6f17ccd7c8190918e03b114f4f064 completed March 27, 2026, 9:07 p.m.
Created at: March 27, 2026, 2 p.m.