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Paper Citation Record · LEDGER

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints

As of 10 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2602.21265.

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

pith.paper-citation-record.v1
2602.21265 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

17 of 17 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved8
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d9a8fd56-f4a0-4488-bc5f-7a935ce6c07b · outbound

This paper cites Measuring Mathematical Problem Solving With the MATH Dataset.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints Measuring Mathematical Problem Solving With the MATH Dataset

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-05-21T12:00:04.229983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:03507e911fe7908df159e3b08e534a20c9c26d2b0583636d9e307b22abb9a68b

Observation 636fa33c-ccd1-465e-82ac-8d3600073afe · outbound

This paper cites API-Bank: A Comprehensive Benchmark for Tool-Augmented LLMs.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints API-Bank: A Comprehensive Benchmark for Tool-Augmented LLMs

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-05-21T12:00:04.121440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:5e80496b6dcd4a59c05f9f731ee234a651de83c98b6144c282bf5eafdaf51103

Observation c243436f-6621-45e7-a8ec-29e1ca01c1f9 · outbound

This paper cites Toolformer: Language Models Can Teach Themselves to Use Tools.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints Toolformer: Language Models Can Teach Themselves to Use Tools

Reference 3

Resolution
metadata mismatch
local_arxiv, observed 2026-05-21T12:00:04.235600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:f9e66e542f324cf467d4e1405277cd1b1867125244ab7d2fe706971cbe027cfa

Observation 5fd0df3b-8120-4a59-9dc2-31261a1047b8 · outbound

This paper cites TaskBench: Benchmarking Large Language Models for Task Automation.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints TaskBench: Benchmarking Large Language Models for Task Automation

Reference 4

Resolution
malformed identifier
arxiv_id, observed 2026-05-21T12:00:04.241730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:e192dd22a64dc104edb0171ef0dcbce097db6478d87897c7236ffb0e910ccc7c

Observation 999c6ab0-b00b-4777-8fca-7d3413fd2095 · outbound

This paper cites an unresolved cited work.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:00:04.857927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:04a76f4238fbd22f64558fe434c6d7ce3678a3b739863a9c1e116c344271fa01

Observation 11b0d518-cae1-440d-9e0a-35e269f54af0 · outbound

This paper cites an unresolved cited work.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:00:04.863320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:df73b9c9e381ce742c3977e00440cfdd69a5c21293471036327882e6ca675e01

Observation c9decb84-b258-4bc6-bc3e-164a3f306f0d · outbound

This paper cites an unresolved cited work.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:00:04.861667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:a56c87321699560d910b91e9dfcddea86cfacf280f857474972fc62a872d7a2d

Observation b6079c0f-6ef2-4e80-ab1e-af188f3c34ab · outbound

This paper cites give_answer.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints give_answer

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:00:04.871897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:66eab58bc82f9332dde1f0d31eb45a39c1aa397d770dacbb113b4cf1cb242303

Observation 20ea3298-45a3-4fd4-aab3-f8cd84095927 · outbound

This paper cites give_up_and_restart.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints give_up_and_restart

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:00:04.865261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:cac7be99dd8953734cc31d73df8208172fdfddbbd86717f6e4d0ef1f7c0adc4d

Observation 3c11d624-bc89-49e8-a72a-6121932fc63d · outbound

This paper cites an unresolved cited work.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:00:04.867608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:b0847904e3e828a20b195e57ff064eb4c9f9f76a3327da0253d0415bc4b9c590

Observation f0b15973-1a11-4643-9f1b-d2f9e8e52ade · outbound

This paper cites an unresolved cited work.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:00:04.856133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:c5075feb296251d220bd469b5c984396ea482a56713a63363fc53ec914c5d8fb

Observation 5c40d8c1-9097-4641-8ebc-38c99a350ce8 · outbound

This paper cites an unresolved cited work.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:00:04.859875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:07e713d10bc058f08242b51c60ecd5ba5c1ad632475fdc5ecb255508b99e0bc4

Observation 7afbc466-f5bf-443b-9785-e3061aa5b2ef · outbound

This paper cites name":"solve_rational_equation_quadratic.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints name":"solve_rational_equation_quadratic

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:00:04.870034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:ca04af9ec426b9390db41d091b45517ad94d82a507c9feed70447a8f12f2608d

Observation 88c12078-fdd6-4e68-90a7-a988847b6e68 · outbound

This paper cites an unresolved cited work.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:00:04.852542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:44a81466ed9e96ff0e452ce6f5fc59f20cacf4fb7db6dc7b85ab4eba7586eecf

Observation 7a93b7f3-1539-45fe-9e27-0953498e14f0 · outbound

This paper cites - $3b = b+b+b$ using ‘[TOOL:add_vectors_2d]‘ twice.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints - $3b = b+b+b$ using ‘[TOOL:add_vectors_2d]‘ twice

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:00:04.850678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:546087d028f5e7408477c0c79f2e75c95f328071c9af9ca6f823de88296368d0

Observation c6e33649-cdfc-4187-9b69-5ec73f02c8ac · outbound

This paper cites an unresolved cited work.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:00:04.848554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:ac82798e647b063bb897f875f92784915ef3c4d838852d14ddf54147e8d81a75

Observation 087c4ed4-63d3-4485-b341-8a4bac1f7d51 · outbound

This paper cites name":"add_vectors_2d.

ToolMATH: A Diagnostic Benchmark for Long-Horizon Tool Use under Systematic Tool-Catalog Constraints name":"add_vectors_2d

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:00:04.854310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:451788b4c32e67bff255b89f8a39b3c4caab8bf0ff4593a3aea00a6f445b622a

Pith citing papers

No inbound Pith citation observations are available.