Pith. sign in

Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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:c5e5c260ea8569ddbd035d5c04552085195d3219eda6c6c99e60353309c2f127

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.210678Z digest=sha256:d84e82b60e0d64464ede328e2a49f55e0731c5040ec1389e63d5c8f036ec8f03

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=sha256:7ff546394de1b64eedfd6759cd3259f74f3949824ddf59a6a40ee87ff2cd454b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.358958Z digest=sha256:33bbf3bbb4579bb78a5afba77273a3266a51d09d34f6191d2df80aafd7be3791

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.434370Z digest=sha256:d7c76075ae1c2f0b11bb7a95a8eaf2da196d34bd5e8748d07da4386126cd80f2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.479624Z digest=sha256:93303b6e3849b495adb663028e0619d2d969fdef0185984aac18f9f51ebdb490

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=sha256:7f5ae021984975d8a56e6705a77cdfe5e8cfa6628d2ac8b627a01eeee8bb2d5a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.683050Z digest=sha256:e55b45baacbadffb3283e3cc6d14d3dff7c169b1a3fb98912ba36950a803a1a1

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.762342Z digest=sha256:cbb1b3a2a77c3ecbc38dbd67bec32fd763bbcdcf8020d14534e3cbedb0f5f243

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=sha256:702491977cdf115a6a6a7847afc111abd273912ac4bd91c24dbbb3562f5e6a2b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:15.946981Z digest=sha256:6a80435d31bf99323aeabc3dfaea2fa38cb68498b20d4d328ae3fc1f65a55ae9

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:16.042417Z digest=sha256:5d37839969a45d47c94e597e8098c6d907c8fb047bf746601d6410ae031dd09c

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=sha256:1ef8fd4f6fefe8f21732865152a9620d83f283d36975b95ce80c5591094e0867

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=sha256:16304331da81aefc7a77a27e02a8c4881b8dc9a0a4a753f6f41f47fd1ccc1dbd

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:c0b862a72bdd2bdd781cf86a6b7af474477dd04db31e62662c379f449eee85cf

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:c3df318cb583f7b17cecb92d4b8f4e8cb250cb1c6d0ffd97e20c91bb89f70d11

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:ec3d5c64f85620358bbec63970cfe4972a1e326648eed9bc9a5f9e276c7dedab

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:16.814190Z digest=sha256:aa2b8194e9e33cb2162f4f10c35f1ca1602bb138ac51ba95f9bc973fe15dec07

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=sha256:22eb174ec67989a243d46e6802a9d5037ab9b25f45daa24f1adc0582dcbc3b82

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.150213Z digest=sha256:d9755218e9ccea6755df4d5a28b417ff478f0704efdd8709d3e8ca130e1c1e96

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.239332Z digest=sha256:48127d4ff1551864d711c1e0778b30174b8148949ec5f6156af9db2bff4c2c58

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.357687Z digest=sha256:1544803548d6f23f3c44b5602beec4dda663bc4720f700b1d0262c0b5febf120

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:efaba5ad65b246a25074a93c0763e2c752a71565ed0a2e081daa19c7317ba1d0

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.618489Z digest=sha256:2792ec43d6d3be67b3fbc07f38dc80801772ecbcfaa101a8ac3980cde7df7556

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.746013Z digest=sha256:761562cfdb227d6baa818f9bc96ff1bff17f3d71761f285237dcc31e41e3624a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:17.890680Z digest=sha256:ff4ed56b9229b2dc3f9bce48e718ea399d07d2924814fe953d7872f0e63a35d1

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:18.064749Z digest=sha256:9f2dcfd8f286bee05fbef1a3654859121213ece3d58991a722ba84ee7163af12

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:18.183007Z digest=sha256:2e15c4a85596e75062eca0b32a671941e5dd5cc4c8a1e1b7bb3fc66975c00c40

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=sha256:3ed10849cfe605184d07d55b7b926a2e719e13fca1a42559d4e8acf5568b216a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:18.469411Z digest=sha256:9060d3dac2d0f06dac9f91688edefda1ea6a3406fe7978feaa85c08da2d7c495

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:c8753004e15e00684326dbb4307dbf3fbf812f5d0ff1d1f2fc02b6a484d5ad8b

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=sha256:80e51363f8d2eb630475a2c58ef774ef0a640e37732a59e9be0427a5554ac6e8

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=sha256:8dcf38e20399964010e975cf0428f4b9a1c6a9a71af8880f20a5666c4180eee2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.008164Z digest=sha256:7113c4c8463b5d2570325f27fa694144429a1e47325f1253f7927557fcee3ebe

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.081040Z digest=sha256:d6c13561d4e206e586d887002a30e81fda6968ed445963cfa761bdd25299b6a9

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.157551Z digest=sha256:0efad44e61b946d4f9cdd751917d5b40bfcaba71b825ea2314010c8e455037ed

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=sha256:2781c0aa45495b6d23050c00e0b560d54c11ab766fd26315bdb6b87afee05e6e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.322591Z digest=sha256:5d98a42bc5f388dd24ca460e6da9a15c449850de252578698828a244d3303c0f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.393826Z digest=sha256:2271d5cb7d9bf506a1c4565efa3c4ba3dbec30b32814e478a2ef3c673ce9a770

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.512055Z digest=sha256:bf4a9f8aed4f74fe0ab4b83f58e4bb29de6fc8e6b150047606425cf2e229ec2b

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:dde80e0912540db0df9d6bef01913d9ad0fbed3e6e09c08799547da20cc0cfa2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:19.748671Z digest=sha256:4acbc556d58727be4a018b01b9baa58018c59dbe1672d3e97000e2653abf3263

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=sha256:9c2159265b0120237c73049ce22d0511e8ba9c993124a88edb46df28752a0752

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=sha256:2c8820a6427e90628b784daa3c4f5a13a5eaf28bc9c0dcdb00193b617fcdd993

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.014004Z digest=sha256:6682a960ae3f326d6f741905277eee894a6385e5b6cfca4a7044c8896940cee3

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.090726Z digest=sha256:d549a875626afa67fcee665bb0d5f609a503a3d712ba0376856841b652fa543c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.207480Z digest=sha256:dd9b1f648ce4b26986df18e20a2f52a2e949f73b5464852231cdb686d624695a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.289233Z digest=sha256:8d11403db58baac344ec3715de2d1da5a245d4023a36fd4b4de012faa2534bf2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.375206Z digest=sha256:6bca47351f2d385efdf89daa66d1c65c576ddeca5bce0fff7d93ad3fbcf4fc17

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.581378Z digest=sha256:5053577ec315bf6346ca81a76d7f3e42a511a3918e854d9bbf1d9ff697c243ae

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.712255Z digest=sha256:914ebd952e7dad67b12bea464d43581d73fcf8b67c13fef6a3d62ed063523430

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.863607Z digest=sha256:d80ea77bea7bb36964cdae68024656dacaa585e5e7330ef0b1d655be8bcf0010

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:20.960161Z digest=sha256:a6bc643ea7c77aed5939956d17984ae71e4614a2b96f9535189ee20d8e1899d1

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.032849Z digest=sha256:3c3b0ada0cff6711bb675d99bd3984d63a3e89b0e0fcf9e385e8c404e2a7f811

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.149816Z digest=sha256:925f42d79efebd6978a307969054c4a643ab9556fb981e4a26c6df7f16d74f10

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.280881Z digest=sha256:cdbff6b349f2bc745cac910e216bec4588045961d37d2b3976f8539dd75bcb88

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.369801Z digest=sha256:e184e3a05843cd1c57f309738af3651435e13d4ae7b36771ad4d237ed18accae

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:c72830730b782bfda7d93afbef561201f26fe0cc7678fd5d2235ccca3964873b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.601309Z digest=sha256:06f071c8551fa447f772301aecf0de6f0886241f8671fe9f5f5810e43ced00ac

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.730725Z digest=sha256:70e74d18e179a32bd2305077ea9ba4bae35f9e1f7638941f49b8300e7b2ecbc9

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:21.836042Z digest=sha256:d802846db6840035465ffddb0145e7feb9cb1629a56667e54f05d3b62f04d0d4

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:df221a6c0cab7abe3f6bedb5780b9534359a90444b87b863e2a895285de81a76

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:22.045029Z digest=sha256:a4239e062a7950818b9668f984cd81ec5b96b1ec9a4bf1fc70ca7f3ade8f671a

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:d9c8cc2f2ab85122093a2d726a45908811e09bb5c1a76a448dbcaf740b9d2439

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:22.207848Z digest=sha256:92e129f14e861c97953796de4acf9832eaaa24145470c97f1e1e861473603571

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T17:47:22.296113Z digest=sha256:011d32fce2f570950ebd49be4b49c43822dca6bc5bf4132d5f523804cf1d0440

Pith citing papers

No inbound Pith citation observations are available.