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Paper Citation Record · LEDGER

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

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:9ed1aa435c3392c703edf96492c98d2fc49f9d318760c480f963e5c97b9c7971

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:9e76c8dd3187077c66b9307d563c1f06a30da3ce538237a91ee16a2ebb87ec9e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:5c9a737263ddd96366dc31a64f627c42df18d42a016afde26cc9b28eef4ae1d0

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:c9e06a3f0a79a3099becc743fc1a30c7bec28f64e832161ec81bc2e0ef289cd3

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:9dae9a1213c216df25562be97252d4401be2e78ceb90cf33977977972f14b128

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:148cc18da71f19983cded94bd1ca0c3e74b0d76b4e8eecf96905261872aba389

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:5ac9152678935048ed09774f9fb5882086084fb5d870ecd75536b365249b44e9

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:121dbe8c881da61c860adec39217c6daf303f1292b0072a0f9862a4ed25b2a7b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:6f2f613c3899f8109e550c061831a9ff491b1fd0c2a549cd9f6b9adbc1e15f00

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:762560567f410266f33ac45a721ee3d318981ba057269e99ead29a32735df028

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:ccd384a760129ce36efdd90c640ada2f862a777a667aae1851c38e9236f01f0e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:bc1810020948e0e5afd95cd2ceef3b799425b7bb2378fcf0d6ca500c747cf987

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:cc6421ed5d9abea851b76b0741d26b6970e7b1d2c5cf76ab5bcef0310cdc98dc

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:16b41c7c9691b00cba47689745e31cc727ba3415118ca45655628d965e0c035e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:39cf5c612e23e5981695b5f09b5312ca5e908db09f13f8b20d0659429d1f8f90

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:1dc65dccd3e68752683cc3834837429a0c50db5b39256a713e1d323358831f7f

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:acd5d49c6f46f5ce1ef2cc7ab488f5952bfaea2a63f91fb026439487e59f70ee

Pith citing papers

No inbound Pith citation observations are available.