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Paper Citation Record · LEDGER

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs

As of 15 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2608.03506.

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

pith.paper-citation-record.v1
2608.03506 v1

Coverage vector

measured 66 of 66 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:47:22.296113Z

measured 66 of 66 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

66 of 66 outbound references displayed

  • verified exact0
  • verified fuzzy34
  • unresolved31
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a89525e4-611a-4bfb-8980-99d398d34ee0 · outbound

This paper cites The Eleventh International Conference on Learning Representations , year=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs The Eleventh International Conference on Learning Representations , year=

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:15.111765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:15.111765Z digest=sha256:e2393709314272dccd41830964737b382dba829f5736e44d75a3bb622fb7ee80

Observation 2c07c816-0be5-4c5d-8f44-82f388e973b9 · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:47:30.991369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.210678Z digest=sha256:ca04c4a7a5b82487a8961a53a44e56232478f8aecb5baa9816fa7fd85c3bb4ee

Observation fc7966b0-818c-4562-808d-aa0c8b70c98a · outbound

This paper cites Large Language Monkeys: Scaling Inference Compute with Repeated Sampling.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Large Language Monkeys: Scaling Inference Compute with Repeated Sampling

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:15.266664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:15.266664Z digest=sha256:58f5ddf745153d2571aabfb689285a02104210ac0089b13802b4777ee440e27b

Observation f8c74186-9396-473d-878a-d48470418ac4 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Advances in Neural Information Processing Systems , volume=

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:30.663640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.358958Z digest=sha256:5052a752f438f300662baa282ba842d3a387f5ee8ce2be7b5a7f272e551f66d3

Observation fcc4a2a7-98c1-4144-b7a9-ce2b0d3ba660 · outbound

This paper cites The Twelfth International Conference on Learning Representations , year =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs The Twelfth International Conference on Learning Representations , year =

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:30.408732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.434370Z digest=sha256:23df032ba79f9c2f903eec66f78e717e4292ae9b8dbc7ed6a7058e02c78b04b6

Observation 3609b8f4-fecd-485f-b003-f2b6ba9bc1e8 · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:47:30.060981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.479624Z digest=sha256:1dae5811e54027ac71d14096c239a4f92a21b2351019e351ae421dc9d14d55be

Observation 9d82915e-d022-42b6-b8b1-a49e8d6d9424 · outbound

This paper cites 2009 , publisher=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2009 , publisher=

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:15.598741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:15.598741Z digest=sha256:98eb8e2b9b73893a5924e4cb77cccbc65ea70151feef0043facb406238fe494a

Observation 10eee58e-5d40-46fe-8872-e15121b2b4d6 · outbound

This paper cites Scandinavian Journal of Statistics , volume=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Scandinavian Journal of Statistics , volume=

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:29.772770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.683050Z digest=sha256:a24f84f1b96a8c7ff2250c650e63b33aeef396b4114b6c91d2142eaf28513b49

Observation 64bb93b5-21c3-46ca-9954-42db3564cfc4 · outbound

This paper cites Journal of Machine Learning Research , volume=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Journal of Machine Learning Research , volume=

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:29.527594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.762342Z digest=sha256:57d08e621e12cdc4cb4ee1b0dc07bc29d1a6f20de490e9595a39cb559a664338

Observation 3ee62f8d-a40e-48df-be58-2831cd72a7c9 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Advances in Neural Information Processing Systems , volume=

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:15.837970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:15.837970Z digest=sha256:4c05c34d55eef4274453a0b3f4cc4069c62b2abf179b1442a490e5cb67fa1c8f

Observation d8ebb745-dad5-42b7-a640-41b9aaccde69 · outbound

This paper cites 2023 , publisher=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2023 , publisher=

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:29.234461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.946981Z digest=sha256:6a9999cbb7695b3c05ab2b78d34659ed8504dcf0cda0c95282f050d1da0fea78

Observation 26ea4bfb-d4f6-47c8-a000-47618abb8d6f · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:47:28.935381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:16.042417Z digest=sha256:ec38f1dd2bc32083986cb4888388026ebb9a9e7c3ab4644353a0fc92205591b2

Observation 3a5cc200-0106-42f5-8db6-0092b221732a · outbound

This paper cites Nature , volume=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Nature , volume=

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:16.074263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:16.074263Z digest=sha256:55cde6d59284ff2e130fe63973bb969da64d83039f71f9d2b508d49c46bff923

Observation a6bb4ee4-94d3-4cf5-9b1e-1c59dc674e74 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Training Verifiers to Solve Math Word Problems

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:16.124276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:16.124276Z digest=sha256:eb7f304c1fcf2bdbc34b7fa1559996c222e13a9586a95d08b2280fac0ea0bf1b

Observation d767d588-09af-4b43-a674-53d918b6b991 · outbound

This paper cites Solving math word problems with process- and outcome-based feedback.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Solving math word problems with process- and outcome-based feedback

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:16.262287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:16.262287Z digest=sha256:4d70eb59f3c83aa96660a02e66cfccf28904704a75f0019f45cdbdcd7549b08d

Observation 9debf5a3-7efc-494d-b5aa-714bfd57cc30 · outbound

This paper cites The Twelfth International Conference on Learning Representations , year =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs The Twelfth International Conference on Learning Representations , year =

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:16.436571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:16.436571Z digest=sha256:a0880d0619e8ed523672ad4d26c5b8b0aff264da505f36d219a9052d0c5879df

Observation 3535523e-9e19-4f92-996e-61ff39185efd · outbound

This paper cites Math-Shepherd: Verify and Reinforce.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Math-Shepherd: Verify and Reinforce

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:16.590634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:16.590634Z digest=sha256:c7c8050a37560635bdc0c4e0e0558aece4ee7aa3f049ecae6461b25fb01525c1

Observation 994e31a4-4ed5-4a5f-a501-c5309150ec16 · outbound

This paper cites Uncovering Hidden Correctness in.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Uncovering Hidden Correctness in

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:28.701058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:16.814190Z digest=sha256:de3e10b6a426802c0890b6323f4470f492ecc62ce98d68fb3b29a1c48e7d52b1

Observation a2e6ae64-a34a-4690-960c-3d6b935bd218 · outbound

This paper cites and Shen, Yelong and Wallis, Phillip and Allen-Zhu, Zeyuan and Li, Yuanzhi and Wang, Shean and Wang, Lu and Chen, Weizhu , booktitle=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs and Shen, Yelong and Wallis, Phillip and Allen-Zhu, Zeyuan and Li, Yuanzhi and Wang, Shean and Wang, Lu and Chen, Weizhu , booktitle=

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:16.985175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:16.985175Z digest=sha256:af6dfc46fcb9421e8892426ee98d7d6275c4ec14b03abcb268899d90be898035

Observation 2106e597-71fa-4633-9ce8-4716489d2552 · outbound

This paper cites 2022 , howpublished=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2022 , howpublished=

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:28.545483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.150213Z digest=sha256:4905f9446697e3c91581f1ce7dd97c3fb8c6834580df3f60079812321de082c7

Observation 40707b93-19e0-437e-b8a8-a57f58b95dda · outbound

This paper cites Is Best-of-.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Is Best-of-

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:28.463930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.239332Z digest=sha256:b7e7c093aa66781ab161b56c76b13392b654ef1a903c019ba22ea9233d4f5174

Observation eaa4764a-f572-4655-a48b-1f1d213557e2 · outbound

This paper cites The Fourteenth International Conference on Learning Representations , year =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs The Fourteenth International Conference on Learning Representations , year =

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:28.314988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.357687Z digest=sha256:85cdd7b0a2c35f801d7ef7cfb4bf8f251b1fd4282e9b37e7f2b2d6ecdf2ec07d

Observation 5976dc9f-af5a-4635-8c7e-60b526db540d · outbound

This paper cites 2017 , publisher=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2017 , publisher=

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:17.511298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:17.511298Z digest=sha256:52112b9f1bb5d301d8d539a8301471b3a3ef18c52d6f7404d9f1a923f7c63e5c

Observation 5878f311-481b-4255-b081-e1e67fbe7fd0 · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:47:28.157927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.618489Z digest=sha256:f3df6e14ba295123a66c8fe01076254188c07c40dde05c6704c195a613f6bded

Observation d5aecfae-042c-4764-924e-88cc898dbc69 · outbound

This paper cites The Majority is not always right:.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs The Majority is not always right:

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:27.976472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.746013Z digest=sha256:5257ef2efa9f808c0c7941b28313b5997d5c6ffa124be1d41c1ca2da3749c1ff

Observation 50b7c363-6a49-4395-92f3-06f250235de4 · outbound

This paper cites 2026 , url=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2026 , url=

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:27.813448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.890680Z digest=sha256:7b192c85f447232ba7833ce0fae619075db58862e33826051a7807c3c35d94d0

Observation c79f280a-df16-4b24-94f6-e3cd843d52a8 · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:47:27.681194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:18.064749Z digest=sha256:94dbb068c4e5d1e0b2128d8aed6c391e498acccc19ddeeb54eb6bf822606b71b

Observation 09d5b31e-c35b-45ef-8c72-9734ba484aef · outbound

This paper cites 2024 , howpublished=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2024 , howpublished=

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:27.498816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:18.183007Z digest=sha256:115c8e1cba24e012b2667fa3f614973c4577969faa5359c6bf91a1c6001bbf18

Observation 007c2964-39f6-43f4-9f20-7a9bd413a0dc · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:18.343137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:18.343137Z digest=sha256:3e4762b1115c6e907b9d22196c857c4a22388a3e898d2c6554e87ea37fd7fe6b

Observation c42a1aef-699d-4427-81c7-e0eba50e286b · outbound

This paper cites and Schult, Daniel A.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs and Schult, Daniel A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:27.370660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:18.469411Z digest=sha256:c377c680d17606fdad4cd05805ae08a4b83743798ddd16b64c680b26987b9955

Observation 25322e15-f045-419a-9776-5febe7dd22d6 · outbound

This paper cites International Conference on Learning Representations , year=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs International Conference on Learning Representations , year=

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:18.643787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:18.643787Z digest=sha256:9a54016969257f63b2831672962b22d2581fb914260e2f75f22b146ee12fd921

Observation 9012d29b-4efe-44ba-8aca-46d7c8637607 · outbound

This paper cites Nature , volume=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Nature , volume=

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:18.757899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:18.757899Z digest=sha256:e50e3b858f0a74bc81e9a0e5abd87957da59d258171c9d57435d08454cbb8eea

Observation 581e1721-ed5c-4219-8c6a-9904aeee55f0 · outbound

This paper cites Universal Self-Consistency for Large Language Model Generation.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Universal Self-Consistency for Large Language Model Generation

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:18.895784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:18.895784Z digest=sha256:488e4d2c4396c606568741adb6774230cd1b219e287a3b285d85004931854b93

Observation f0e086c6-4413-440b-a3a1-9b8e6d354aa9 · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:47:27.244271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.008164Z digest=sha256:915f0a46a593fc547352c6a1c47607ffcd610b57040cae5383ab963697bc134b

Observation fdb81fc1-d970-4036-a50c-c7aa2ec429d1 · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:47:27.044243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.081040Z digest=sha256:170dcdd03deb60c6743ca80229ea06e4bc5c5e30aea19eebaef4d27d710fed32

Observation 426ee1be-4950-423f-af2a-7eaba336e7d7 · outbound

This paper cites 2023 , publisher=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2023 , publisher=

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:26.840661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.157551Z digest=sha256:fec9f7de04d1d428dd9ddbd756b12720a5b67100f11e76d9201e379ab7c6dc64

Observation 1fd2bc0d-5170-4a4d-a018-11dc2f17843a · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:19.236896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:19.236896Z digest=sha256:bad1d5601ead1705d54010be909f0fd1f69e1b7e586548bbfc038581aac4f17a

Observation ac0b3327-f919-47f1-a409-445639b4ffeb · outbound

This paper cites Proceedings of the 62nd Annual Meeting of the Association for Computational Linguistics (Volume 2: Short Papers) , pages=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Proceedings of the 62nd Annual Meeting of the Association for Computational Linguistics (Volume 2: Short Papers) , pages=

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:26.688056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.322591Z digest=sha256:1538d5b3c12e6a338c6bde59ab659252f6bf43d097c4f99f13cebdb68db4aff0

Observation 3df95f41-d2a9-4c17-b218-9fad2484c5b0 · outbound

This paper cites and Chen, Yatong and Cruz, Andr.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs and Chen, Yatong and Cruz, Andr

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:26.474973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.393826Z digest=sha256:cf8b531fb972d2608a66428d6ca49b678b9055b77d6bee34f4c7aa6ec1d0859b

Observation 6416a69b-691b-44dc-9473-4f9b334de09a · outbound

This paper cites The Fourteenth International Conference on Learning Representations , year =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs The Fourteenth International Conference on Learning Representations , year =

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:26.332352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.512055Z digest=sha256:460bdfba7a0e11578d6107f1f8b10bdfc9069973302a4bb5dac96ae52fa271f2

Observation e3d61150-ca7d-4764-aa28-c5383aafc4d0 · outbound

This paper cites 2603.10624 , archivePrefix=.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2603.10624 , archivePrefix=

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:19.634404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:19.634404Z digest=sha256:62e0ba26b4f9ae8778673d24ea65e117a5c165f033040635d9ba244df864f42b

Observation 0b877e1e-2a39-42e0-af6b-d9b73e2b0e84 · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:47:26.163178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.748671Z digest=sha256:1a75650fccb1104432af9732b58d008219c93e03fed47c343ebfe60d63429ce7

Observation d73e25b3-41c0-4e5c-afc1-2f345600525c · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 43

Resolution
parse uncertain
no resolver link, observed 2026-08-05T17:47:19.834094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:19.834094Z digest=sha256:153e590089af615af5d1698098cb7de0615880e2b8eef02920f629780764d0a8

Observation 5f219c24-fa03-4cfb-9a75-4735a31a8142 · outbound

This paper cites Elements of Causal Inference: Foundations and Learning Algorithms , publisher =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Elements of Causal Inference: Foundations and Learning Algorithms , publisher =

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:19.915575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:19.915575Z digest=sha256:04ff25488044faef962079ffc287471233764af6c2c7d27f64f95a4759b80b79

Observation 8e961b88-01ff-4ad3-af72-fcb03174df09 · outbound

This paper cites Scandinavian Journal of Statistics , volume =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Scandinavian Journal of Statistics , volume =

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:25.995210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.014004Z digest=sha256:4b044749126c9556fd27996aa54ff3959d4034acaa6f0fba307a2047e0c81609

Observation 0a893597-3298-413b-be32-009306188f40 · outbound

This paper cites Journal of Machine Learning Research , volume =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Journal of Machine Learning Research , volume =

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:25.820006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.090726Z digest=sha256:a9e536c5d32473a42be0e0bbed57ba4f71d5087bc26ca4a82fd204c248b0a256

Observation 080ba491-021f-46e2-a14c-cda89d4ac539 · outbound

This paper cites Journal of the American Statistical Association , volume =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Journal of the American Statistical Association , volume =

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:25.679003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.207480Z digest=sha256:8164927b69b9ac5dc2d573925fcdea8e55c52b8618cb81caaa12a1d2bc974245

Observation 0b70bb7e-bc53-4cbb-bbce-704d99eecbe9 · outbound

This paper cites and Schult, Daniel A.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs and Schult, Daniel A

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:25.519553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.289233Z digest=sha256:b80b4330a68fb73f703158059a49b63f69885afacee130cd6b47e76876d9cd62

Observation 6c1a0d7c-799e-4621-8a08-c59bc50110e4 · outbound

This paper cites Findings of the Association for Computational Linguistics: EMNLP 2024 , pages =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Findings of the Association for Computational Linguistics: EMNLP 2024 , pages =

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:25.344457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.375206Z digest=sha256:591cf15967a7282173a233f13caa3c129638c77d97c51e49edae09493de3f25f

Observation f869b7af-c2ab-4773-8195-05241c8af492 · outbound

This paper cites Journal of Statistical Software , volume =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Journal of Statistical Software , volume =

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:25.175622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.581378Z digest=sha256:d4f7a8c2a867a9b4c20fe28eb961e644a7b9693fa62ff7dca1bb7f0e9831c277

Observation 94dbb5aa-52cc-42fd-bcc2-1c8bc56a37a4 · outbound

This paper cites 2022 , howpublished =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2022 , howpublished =

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:25.081349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.712255Z digest=sha256:1d42182305f4df9a7e3abf45fe96679c145b8e0a75393f98f4745881109cc314

Observation 492e2759-da7d-47ff-aabe-1502a75ae414 · outbound

This paper cites Advanced Intelligent Computing Technology and Applications (ICIC 2025) , series =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Advanced Intelligent Computing Technology and Applications (ICIC 2025) , series =

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:24.932827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.863607Z digest=sha256:df961142accdfb3ed3dda33bb9ee2e93843c5d9132385872478b924388bb8c6d

Observation 3b69a081-ab85-428c-ae8e-6adc63705b9f · outbound

This paper cites Findings of the Association for Computational Linguistics: NAACL 2025 , pages =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Findings of the Association for Computational Linguistics: NAACL 2025 , pages =

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:24.703843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.960161Z digest=sha256:b26cc5749a4fa58e1e5033b352f3a9662cce5e65661e1b138adb0da7e10aac3a

Observation 818a5de3-5a19-4d72-ab4a-341bc930bc83 · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:47:24.560359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.032849Z digest=sha256:8d519305960fb4e55009933f5a65a59f0e0957d76f7da853ee5a9fae1b7bc013

Observation 5322782f-4a65-413c-8c46-eb13feafbafd · outbound

This paper cites Proceedings of the 19th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers) , pages =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Proceedings of the 19th Conference of the European Chapter of the Association for Computational Linguistics (Volume 1: Long Papers) , pages =

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:24.269526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.149816Z digest=sha256:a5c07a852237c1dd8744a71b436b764d04cc94b456b82c130e416298b8e08f2a

Observation 560b0b32-d97e-4e68-b3b2-34c025378632 · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Advances in Neural Information Processing Systems , volume =

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:24.024786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.280881Z digest=sha256:c15ae4176aff47854b551582fe0bc0e501fb28e74b842cfa16bcaa75d3b00911

Observation 52051524-de69-4a0f-b5a4-7a4951863926 · outbound

This paper cites an unresolved cited work.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-05T17:47:23.863830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.369801Z digest=sha256:4decd7e9dab032ea90263dde746454de6a0ec674febcdc1978fe759ac3de4dd9

Observation ac132236-2314-4a0e-bbd3-8bc72c5cf771 · outbound

This paper cites Qwen2.5 Technical Report.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Qwen2.5 Technical Report

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:21.484086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:21.484086Z digest=sha256:0464b85f0aea1719708bcdcbf95beafdfcadbcf8051a2762d0a2c9970f32cfe9

Observation 04120ef0-1bed-46e3-b849-243f7a64963f · outbound

This paper cites 2024 , howpublished =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2024 , howpublished =

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:23.661103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.601309Z digest=sha256:4321e9f1dd11056e7aebe3aa5fecae663501ba5b59dc86ac8f1a42a2c7c82f6c

Observation 186f0923-e9d0-400b-baac-916bd0fad856 · outbound

This paper cites and Shen, Yelong and Wallis, Phillip and Allen-Zhu, Zeyuan and Li, Yuanzhi and Wang, Shean and Wang, Lu and Chen, Weizhu , title =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs and Shen, Yelong and Wallis, Phillip and Allen-Zhu, Zeyuan and Li, Yuanzhi and Wang, Shean and Wang, Lu and Chen, Weizhu , title =

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:23.405425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.730725Z digest=sha256:b485fe469a3fe02709f0233b342155dd58590f0b1df0f3d0e59d94f48159db6e

Observation 557da700-adb2-4cc0-8037-bed0487132a4 · outbound

This paper cites Advances in Neural Information Processing Systems , volume =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Advances in Neural Information Processing Systems , volume =

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:23.238814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.836042Z digest=sha256:cde8f5a5be07f10010538b5fb1bd7689a0d58aace273446f360dbc768b5868b2

Observation 062d5d2a-0276-4379-9c7b-bc9196ce57a3 · outbound

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

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:21.960980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:21.960980Z digest=sha256:f9eab23c0f17d351983f7c2a010ae2099161ecaa54eec131113ddaf10b9777bf

Observation 02a7d410-baaa-455d-a5d1-ee6c357f7959 · outbound

This paper cites The Fourteenth International Conference on Learning Representations , year =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs The Fourteenth International Conference on Learning Representations , year =

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:23.054120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:22.045029Z digest=sha256:4eb9d1d16d0225684a49141b9d623ef4d659c10f6b9cef622a77b15d6d1512a2

Observation c4e31add-bd7c-47c0-8c6f-9d01ed1c5ff7 · outbound

This paper cites The Majority is not always right: RL training for solution aggregation.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs The Majority is not always right: RL training for solution aggregation

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-05T17:47:22.122408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:47:22.122408Z digest=sha256:dc24c270b6f40e164846ddf3a88e13e1607078e5f98efb1940c74a8d81ea0c37

Observation b6fca671-fceb-4ce1-8f5b-d39759766014 · outbound

This paper cites , title =.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs , title =

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:22.835610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:22.207848Z digest=sha256:0d1255d7c3b9825b7e7ed95c09e4589d257ea003f0c7ce80ecacac826ebd3178

Observation 6f0fd483-02a3-421c-a970-34975e91b01e · outbound

This paper cites and Chen, Yatong and Cruz, Andr.

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs and Chen, Yatong and Cruz, Andr

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T17:47:22.637585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T17:47:22.296113Z digest=sha256:7676df6d52e1fdaff1a9eb4edd519a42cbefd3b9cb6064924f57170e7a83fa5c

Pith citing papers

No inbound Pith citation observations are available.