Paper Citation Record · LEDGER

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems

As of 23 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2507.21130.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.21130 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:17:04.235605Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

verified exact0
verified fuzzy10
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 34e5d99b-6d0f-46e3-8728-9da2a810092a · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:09.198022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d51ea688-8191-496a-ad1f-5fe858be0728 · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:09.026412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b739d985-6887-4bd4-b3ad-224839eb8af3 · outbound

This paper cites No other text or ,→multiple outputs are allowed.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems No other text or ,→multiple outputs are allowed

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:08.748939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4fefdd22-0dc8-48a8-bdf0-6ae5972f99cd · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:08.584230Z

Source-reported events for the cited work

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Observation 9a14fc30-b8e3-4c50-9daf-4576cc0c15a1 · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:08.360028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0f2c65fd-a506-4179-a1cf-69606a36f12f · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:08.121702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7807ca2e-31ab-4202-a9c4-0b9be086b324 · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:07.972997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1388005e-f1a1-4463-9d90-2014e6170191 · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:07.781712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 25dcac1f-7aaa-430c-a5a4-bb26eb7feace · outbound

This paper cites This helps avoid syntax errors and makes the code more readable and debuggable.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems This helps avoid syntax errors and makes the code more readable and debuggable

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:07.546862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 447d9497-b4c1-456c-89f2-827749af6e39 · outbound

This paper cites Verify all denominators and logarithm arguments will be ,→ non-zero and positive respectively.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Verify all denominators and logarithm arguments will be ,→ non-zero and positive respectively

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:07.332578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d1a5a012-69d4-4ea5-9aee-f3a4bc6cae57 · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:07.141508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c291a694-56e3-4fd8-a04d-e13e760da691 · outbound

This paper cites code": The Python code (plain text, no markdown fences) that evaluates the analytical expression. -.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems code": The Python code (plain text, no markdown fences) that evaluates the analytical expression. -

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:06.942045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1742bc4b-ceed-4021-a72c-ef2ad726c259 · outbound

This paper cites Instead, translate the analytical answer into mpmath code and evaluate it ,→directly.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Instead, translate the analytical answer into mpmath code and evaluate it ,→directly

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:06.735044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 43970996-c0f3-4cf6-af02-5a4d49fc5a7f · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:05.829731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a4b0b078-4b10-4537-a5d3-79357a99b82e · outbound

This paper cites : Python code using mpmath to DIRECTLY evaluate the analytical answer to 10 decimal places (without using ,→numerical integration). The code must only print a single number. -.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems : Python code using mpmath to DIRECTLY evaluate the analytical answer to 10 decimal places (without using ,→numerical integration). The code must only print a single number. -

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:05.434390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5d281627-7523-4c09-a3b9-ab6e6d5ecb0f · outbound

This paper cites Instead, translate the analytical answer into mpmath code.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Instead, translate the analytical answer into mpmath code

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:05.209920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fea619c6-9115-4ceb-be55-2b2d8c18d134 · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:06.570734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 10d6234d-aa37-4c67-8bbe-b6be24b38ce8 · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:06.299474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7a604139-a1c3-4b92-a0ae-215134d52a34 · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:06.018003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1c265cbf-2219-4870-b6d4-56dd3cdc03cb · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:05.656681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6c140729-7ce5-4ca6-a695-46e9a0e20018 · outbound

This paper cites Integral prompt.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Integral prompt

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:05.072985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ad5013d8-08a3-41f1-bced-fdd6ec0eddb2 · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:04.912007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 85013302-0247-4994-80ae-8465572f9301 · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:04.747688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 19c133f3-2fb6-45e7-b7b3-dae1ec456272 · outbound

This paper cites an unresolved cited work.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:04.568207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c722acc5-08c1-4d3e-9a07-e01a82626fa5 · outbound

This paper cites answer":.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems answer":

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:04.441031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9ed18d7d-ce19-4893-aaf8-e65295bd06b3 · outbound

This paper cites problem":.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems problem":

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:09.342099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1657caa8-77a0-4e06-bf63-b81f7cdb6f55 · outbound

This paper cites OpenWebMath: An Open Dataset of High-Quality Mathematical Web Text.

INTEGRALBENCH: Benchmarking LLMs with Definite Integral Problems OpenWebMath: An Open Dataset of High-Quality Mathematical Web Text

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-06T15:17:01.177625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.