Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T17:47:22.296113Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T17:47:22.296113Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
66 of 66 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a89525e4-611a-4bfb-8980-99d398d34ee0 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c07c816-0be5-4c5d-8f44-82f388e973b9 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 2
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.
Observation fc7966b0-818c-4562-808d-aa0c8b70c98a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8c74186-9396-473d-878a-d48470418ac4 · outbound
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
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.
Observation fcc4a2a7-98c1-4144-b7a9-ce2b0d3ba660 · outbound
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
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.
Observation 3609b8f4-fecd-485f-b003-f2b6ba9bc1e8 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 6
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.
Observation 9d82915e-d022-42b6-b8b1-a49e8d6d9424 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2009 , publisher=
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10eee58e-5d40-46fe-8872-e15121b2b4d6 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Scandinavian Journal of Statistics , volume=
Reference 8
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.
Observation 64bb93b5-21c3-46ca-9954-42db3564cfc4 · outbound
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
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.
Observation 3ee62f8d-a40e-48df-be58-2831cd72a7c9 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8ebb745-dad5-42b7-a640-41b9aaccde69 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2023 , publisher=
Reference 11
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.
Observation 26ea4bfb-d4f6-47c8-a000-47618abb8d6f · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 12
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.
Observation 3a5cc200-0106-42f5-8db6-0092b221732a · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Nature , volume=
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a6bb4ee4-94d3-4cf5-9b1e-1c59dc674e74 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d767d588-09af-4b43-a674-53d918b6b991 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9debf5a3-7efc-494d-b5aa-714bfd57cc30 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3535523e-9e19-4f92-996e-61ff39185efd · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Math-Shepherd: Verify and Reinforce
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 994e31a4-4ed5-4a5f-a501-c5309150ec16 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Uncovering Hidden Correctness in
Reference 18
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.
Observation a2e6ae64-a34a-4690-960c-3d6b935bd218 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2106e597-71fa-4633-9ce8-4716489d2552 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2022 , howpublished=
Reference 20
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.
Observation 40707b93-19e0-437e-b8a8-a57f58b95dda · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Is Best-of-
Reference 21
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.
Observation eaa4764a-f572-4655-a48b-1f1d213557e2 · outbound
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
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.
Observation 5976dc9f-af5a-4635-8c7e-60b526db540d · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2017 , publisher=
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5878f311-481b-4255-b081-e1e67fbe7fd0 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 24
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.
Observation d5aecfae-042c-4764-924e-88cc898dbc69 · outbound
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
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.
Observation 50b7c363-6a49-4395-92f3-06f250235de4 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2026 , url=
Reference 26
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.
Observation c79f280a-df16-4b24-94f6-e3cd843d52a8 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 27
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.
Observation 09d5b31e-c35b-45ef-8c72-9734ba484aef · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2024 , howpublished=
Reference 28
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.
Observation 007c2964-39f6-43f4-9f20-7a9bd413a0dc · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c42a1aef-699d-4427-81c7-e0eba50e286b · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs and Schult, Daniel A
Reference 30
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.
Observation 25322e15-f045-419a-9776-5febe7dd22d6 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9012d29b-4efe-44ba-8aca-46d7c8637607 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Nature , volume=
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 581e1721-ed5c-4219-8c6a-9904aeee55f0 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0e086c6-4413-440b-a3a1-9b8e6d354aa9 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 34
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.
Observation fdb81fc1-d970-4036-a50c-c7aa2ec429d1 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 35
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.
Observation 426ee1be-4950-423f-af2a-7eaba336e7d7 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2023 , publisher=
Reference 36
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.
Observation 1fd2bc0d-5170-4a4d-a018-11dc2f17843a · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac0b3327-f919-47f1-a409-445639b4ffeb · outbound
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
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.
Observation 3df95f41-d2a9-4c17-b218-9fad2484c5b0 · outbound
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
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.
Observation 6416a69b-691b-44dc-9473-4f9b334de09a · outbound
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
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.
Observation e3d61150-ca7d-4764-aa28-c5383aafc4d0 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2603.10624 , archivePrefix=
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0b877e1e-2a39-42e0-af6b-d9b73e2b0e84 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 42
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.
Observation d73e25b3-41c0-4e5c-afc1-2f345600525c · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f219c24-fa03-4cfb-9a75-4735a31a8142 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e961b88-01ff-4ad3-af72-fcb03174df09 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Scandinavian Journal of Statistics , volume =
Reference 45
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.
Observation 0a893597-3298-413b-be32-009306188f40 · outbound
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
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.
Observation 080ba491-021f-46e2-a14c-cda89d4ac539 · outbound
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
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.
Observation 0b70bb7e-bc53-4cbb-bbce-704d99eecbe9 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs and Schult, Daniel A
Reference 48
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.
Observation 6c1a0d7c-799e-4621-8a08-c59bc50110e4 · outbound
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
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.
Observation f869b7af-c2ab-4773-8195-05241c8af492 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Journal of Statistical Software , volume =
Reference 50
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.
Observation 94dbb5aa-52cc-42fd-bcc2-1c8bc56a37a4 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2022 , howpublished =
Reference 51
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.
Observation 492e2759-da7d-47ff-aabe-1502a75ae414 · outbound
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
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.
Observation 3b69a081-ab85-428c-ae8e-6adc63705b9f · outbound
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
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.
Observation 818a5de3-5a19-4d72-ab4a-341bc930bc83 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 54
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.
Observation 5322782f-4a65-413c-8c46-eb13feafbafd · outbound
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
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.
Observation 560b0b32-d97e-4e68-b3b2-34c025378632 · outbound
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
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.
Observation 52051524-de69-4a0f-b5a4-7a4951863926 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Unresolved cited work
Reference 57
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.
Observation ac132236-2314-4a0e-bbd3-8bc72c5cf771 · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs Qwen2.5 Technical Report
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04120ef0-1bed-46e3-b849-243f7a64963f · outbound
When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs 2024 , howpublished =
Reference 59
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.
Observation 186f0923-e9d0-400b-baac-916bd0fad856 · outbound
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
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.
Observation 557da700-adb2-4cc0-8037-bed0487132a4 · outbound
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
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.
Observation 062d5d2a-0276-4379-9c7b-bc9196ce57a3 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02a7d410-baaa-455d-a5d1-ee6c357f7959 · outbound
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
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.
Observation c4e31add-bd7c-47c0-8c6f-9d01ed1c5ff7 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6fca671-fceb-4ce1-8f5b-d39759766014 · outbound
Reference 65
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.
Observation 6f0fd483-02a3-421c-a970-34975e91b01e · outbound
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
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.
No inbound Pith citation observations are available.