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Paper Citation Record · LEDGER

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.03763.

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

pith.paper-citation-record.v1
2506.03763 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:59:26.109248Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved22
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1fe05835-1183-4a06-bf6d-f45053a3b165 · outbound

This paper cites online" 'onlinestring :=.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations online" 'onlinestring :=

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T10:59:23.043649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:59:23.043649Z digest=sha256:9f4478b3d3fb651e9f8d171b44f526c5359ba817844db208fe079bd9b4b89fc6

Observation b9de966d-d16d-4420-b0a1-f5c2c7b134db · outbound

This paper cites write newline.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations write newline

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T10:59:23.073712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:59:23.073712Z digest=sha256:a923edff6ea64248928fb755ab3dab4d826d66a2fbb8eac3f53717c74894e161

Observation 235e63e5-c6ce-4feb-8514-687eb9e2a511 · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:28.655902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:23.125617Z digest=sha256:461c7006356be903afe22ed1c05596346f107346d9f5097d5066a6e1d0c3a725

Observation 5d45e8e6-46c7-4824-94e6-238f8f1463c4 · outbound

This paper cites Bender, Timnit Gebru, Angelina McMillan-Major, and Shmargaret Shmitchell.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Bender, Timnit Gebru, Angelina McMillan-Major, and Shmargaret Shmitchell

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:28.572246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:23.175197Z digest=sha256:2e1ece2ae497d6220cb0a935a46340c62683b964f4a00478f93f0034c14ca8e4

Observation 02da3aa3-c8c0-42ae-b87c-bdac98207eb0 · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:28.390240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:23.233562Z digest=sha256:0bdf074d4e0a81a4f8d0afa10945f4a17d5c680259249cfa40e5c5e4aba41bc1

Observation 2c88a664-d2d6-46b8-a047-5c60e84fa15b · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Training Verifiers to Solve Math Word Problems

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T10:59:23.339872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:59:23.339872Z digest=sha256:d0ed220e488acda0624e3d2a7d6c2d55d256137f531702ac513749ac0d1a874b

Observation fd17e704-05f6-4895-b224-778aa04e4c72 · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T10:59:23.559564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:59:23.559564Z digest=sha256:278cc0914ebf9a84b7ecf1d75b0a9e58bec84eeac62111ae22b6f0d42027fa60

Observation e1d317e8-9b40-4eff-900a-56160245e5d3 · outbound

This paper cites The Llama 3 Herd of Models.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations The Llama 3 Herd of Models

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T10:59:23.692217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:59:23.692217Z digest=sha256:5f8d01a429db774feacb5bdf59221e34fb9e5fa746afb7827d4fbb6b136e0efa

Observation 10128e08-cc57-45db-8f47-cd645ef3832d · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:28.278696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:23.837744Z digest=sha256:6c884a8ecdd5ab8aa06bfc17094a6299f3ede01848ec099a1da021ba679a36f4

Observation 8a3c1eae-8805-48b4-914b-0314e53a7453 · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:28.202791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:24.032491Z digest=sha256:0410b3a9022b654268d44efd867794be6866721122142b54b41ddc5722792492

Observation 32cb4bbd-e487-4c94-ab25-1bcc0e5568bf · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:28.075790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:24.205417Z digest=sha256:f66858aa474e1206362de6f5a85ad2f3e2f426d940b36ea56257eb1def14d430

Observation 06d5dbcb-f873-4b2f-8fda-78c826991ad1 · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:27.964641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:24.349670Z digest=sha256:78851c8496b1324c21da8426a9ced0f6d10fa8b21937d3d8888e5273f670939e

Observation 68b17423-0b66-47f2-b39b-c8450abea5c9 · outbound

This paper cites Liu, Mohammad Saleh, Etienne Pot, Ben Goodrich, Ryan Sepassi, Lukasz Kaiser, and Noam Shazeer.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Liu, Mohammad Saleh, Etienne Pot, Ben Goodrich, Ryan Sepassi, Lukasz Kaiser, and Noam Shazeer

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:27.859447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:24.565408Z digest=sha256:d9374a55769db078cb5a2c8d4a32f5fbb6dd2efdca4ecaf96b5162faa1f74138

Observation d569cf55-8978-4a54-9aef-1b2de9709b37 · outbound

This paper cites Mason, L.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Mason, L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:27.782084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:24.764950Z digest=sha256:12606b32e8154b301f4b8633072c7e498fc7a7db7ad19639425fc2fc6189060c

Observation 048d781e-7270-41ba-9d59-e727c15f1697 · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:27.683005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:24.926739Z digest=sha256:3a763f1760f542a4c1bef754c8fd8874095ffb3f89aa9873d6240073e949b9aa

Observation 3ad4836b-4b72-4e32-a322-1b2189cd582d · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:27.603957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:25.134786Z digest=sha256:61c511436a27626c012cb58db2ef56c9af998cbd80fc700ff0ebaebaf2d7daac

Observation 340d8fe9-1c95-4380-bb7a-c408a05a26d5 · outbound

This paper cites ART: Automatic multi-step reasoning and tool-use for large language models.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations ART: Automatic multi-step reasoning and tool-use for large language models

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T10:59:25.301782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:59:25.301782Z digest=sha256:56c277bbdac4580294e9b6de052e032bbbe63c796a427328a8c25b137cc78dcc

Observation e809f3c2-ff60-421b-b160-979b613d2226 · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:27.433765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:25.392826Z digest=sha256:57045e56c5be40320964983f8f6e3246a458cb8218372780b29b573d3a5ee1b3

Observation 1009b6c9-24c5-46b3-835e-9a8d9649e9db · outbound

This paper cites DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T10:59:25.432301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:59:25.432301Z digest=sha256:3a142f4c54589e1a8af1ff0f7b5d65610bb4b16562bd974ff1130c7f75bc7ac5

Observation 3943558e-49c1-4225-9f3a-6e8fc26440d8 · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:27.207638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:25.497663Z digest=sha256:95b05e21b1a366f1ec96ee1c28e9a4307802767c69c986bb74512cecd3b4bed0

Observation 0bfdc0f3-d4d9-411a-b379-edc6dadfeb6b · outbound

This paper cites Tran, Xavier Garcia, Jason Wei, Xuezhi Wang, Hyung Won Chung, Dara Bahri, Tal Schuster, Huaixiu Steven Zheng, Denny Zhou, Neil Houlsby, and Donald Metzler.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Tran, Xavier Garcia, Jason Wei, Xuezhi Wang, Hyung Won Chung, Dara Bahri, Tal Schuster, Huaixiu Steven Zheng, Denny Zhou, Neil Houlsby, and Donald Metzler

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:26.982652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:25.656875Z digest=sha256:074f5e390364b649fe95f51e3274a2ed28b9b10ea23c8664674af5e963d83823

Observation 2235214d-ba00-4353-b142-433f26fc1ae7 · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:26.789565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:25.803272Z digest=sha256:2a4373184cb29f373061fccb21718c29c1519bd0ceb6aa2b81e6f3f2dea9ed68

Observation cbd9de13-8946-4640-a63e-568f9c41da49 · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:26.658438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:25.953701Z digest=sha256:88f0e8c99cb114d2d380613f3c877ddfd9eb4ef3193fc60f1880a055d1fea185

Observation f6cdc2b4-e62c-4ae1-8c38-a1c49326dff7 · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:26.535089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:26.068020Z digest=sha256:0d69b97613ad2cae1d3333fa4a912f5413ef4a6efa120c9973f8d50a726b5155

Observation 103e2c75-3013-435a-a561-1d083bc0030e · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:26.418115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:26.084355Z digest=sha256:959f777cb8f9b4a6deba0a86d235bfe67320e6fd54818210c16f7f90cf478e26

Observation 9d9c42d0-6627-4ca4-be25-c4d16e6b175c · outbound

This paper cites an unresolved cited work.

ClozeMath: Improving Mathematical Reasoning in Language Models by Learning to Fill Equations Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:26.285013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T10:59:26.109248Z digest=sha256:6de479add4453078614d39f0a0b8b566abe2b1bf1ed9e5196ea89af1d35bd1ec

Pith citing papers

No inbound Pith citation observations are available.