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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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:6da9776e4673ebb0323fce82637cca066371c86c024245b219af31226cc4ad81

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:31a56f3f3c8801f27c4ca72a8f7ea35303d0eb3538260018888391658b79568d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:dfaffe9ade92ff8e89a581f8b946223911dd76431912e053e8fed0bd6a964264

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:304b4d8509845673e020de3ce1a4030d3846e0c0c4535b29b8539c4dceba1d6d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:81f3dc89cc796111b4132bca651d890bc075c54e91aa9a2cc868f879e4cea0f4

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:dd750ed2ea1ddc0afe5ec6e2d188ce178e01abc01d3510cd398376a6c9d34fa3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:0d9dcd2c795599107db9221f72f8031a646c01ee0aaec27804eab46efe50a228

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:a3957be9585bb773560037eabd9f9468d2715c29d9eb711dfb593d74056d606f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:cba1d3b30795bf2b24ff5273952e8a52326d62620a2b48e7c1068d6b3dcb76c8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:af2fe46b53f6ca5883ace37a954673ac91174e72222bec673e93993eb7a221a1

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:f5c25b526a0210e0f80fb8b20fc4857b434f6618d686475a1e965b8aa1d2ff51

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:0c53386cd6a92247483846675e0ad8ca5e5621ac27faf37d5071e66bcfcc15d5

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:10df234c0da565053ac747ea3f456b211b457f47517b4e35e1b393b8edc4d230

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:d71f9af92f6b16efeedff97d75069a64d5d891fe0a13d94e30dec56ef70a97a6

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:0c6b5928d939a24cf35581cc45ff1a1376830b8aa44b2bcf618d7c19767c5af6

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:b259c19bc4a9b9f5191a7323d5dd2da9b9108f91dd2a96dd69aa7c185ba9cc76

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T11:57:53.779767Z digest=sha256:d1013e58535cc83513bed25f4c7a2806ce3398ba46acc19ce3a456c23452793d

Pith citing papers

No inbound Pith citation observations are available.