Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T17:17:48.969969Z
Paper Citation Record · LEDGER
As of 21 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 0 inbound Pith citation observations for arXiv:2605.20531.
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 2026-06-30T17:17:48.969969Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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
75 of 75 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 79a42ac6-dfca-4f6f-b3d3-cccc261b3f67 · outbound
Pseudo-Formalization for Automatic Proof Verification Learning to Give Checkable Answers with Prover-Verifier Games
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 06f618b9-ead7-4000-8ec6-0111dc39c918 · outbound
Pseudo-Formalization for Automatic Proof Verification Towards a Lean proof of Fermat’s Last Theorem.https: //imperialcollegelondon.github.io/FLT/blueprint.pdf
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 33f4a043-fb6c-4b9f-bbc3-3c9edc09d1b8 · outbound
Pseudo-Formalization for Automatic Proof Verification SPC: Evolving Self-Play Critic via Adversarial Games for LLM Reasoning
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9e9198fa-0026-468a-a64d-346d3b39dfe2 · outbound
Pseudo-Formalization for Automatic Proof Verification Power-free palindromes and reversed primes: S
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4faa5e7b-951c-4d9e-8532-36ca13d3e30d · outbound
Pseudo-Formalization for Automatic Proof Verification Escaping the cognitive well: Efficient competition math with off-the-shelf models
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4c2df4cf-848f-40fe-bae0-a659cf5d9959 · outbound
Pseudo-Formalization for Automatic Proof Verification Escaping the cognitive well: Efficient competition math with off-the-shelf models.arXiv preprint arXiv:2602.16793
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e1da4547-c12f-46b5-9aa4-3deec5b95f25 · outbound
Pseudo-Formalization for Automatic Proof Verification The lean theorem prover (system description)
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9e55acf8-9cb7-49a6-9c5f-d5f672e621cd · outbound
Pseudo-Formalization for Automatic Proof Verification Finite codimension stability of invariant surfaces
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 39c4ffc5-576b-44df-b224-7b0f85c0fed2 · outbound
Pseudo-Formalization for Automatic Proof Verification Llm critics help catch bugs in mathematics: Towards a better mathematical verifier with natural language feedback
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f7fe30b7-ade9-4403-9a73-e78bc2186db6 · outbound
Pseudo-Formalization for Automatic Proof Verification Formal proof – theory and practice.Notices of the American Mathematical Society, 55:1395–1406
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8d564df2-e49c-4c1e-85d0-fc995836f4ae · outbound
Pseudo-Formalization for Automatic Proof Verification Context rot: How increasing input tokens impacts llm performance.URL https://research
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4fea4ef0-55a9-4eb4-aa2b-a603089081ee · outbound
Pseudo-Formalization for Automatic Proof Verification Pessimistic Verification for Open Ended Math Questions
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 68c3ac76-28ca-4797-9cb2-90e292ff2c9b · outbound
Pseudo-Formalization for Automatic Proof Verification Winning gold at imo 2025 with a model-agnostic verification- and-refinement pipeline
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1b043fc1-21d6-4cfc-bff1-08db1ed04fdb · outbound
Pseudo-Formalization for Automatic Proof Verification Prover-Verifier Games improve legibility of LLM outputs
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 60145fb5-a19a-4b3e-9cc0-68c9377986fc · outbound
Pseudo-Formalization for Automatic Proof Verification PrimeNumberTheoremAnd: A formalization of the prime number theorem and related results in Lean 4
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d99d4411-273a-401a-99ef-61f1760d915d · outbound
Pseudo-Formalization for Automatic Proof Verification Let’s verify step by step
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 964db1a5-43f5-423c-ae3d-f6a091f29fe5 · outbound
Pseudo-Formalization for Automatic Proof Verification Goedel-Prover: A Frontier Model for Open-Source Automated Theorem Proving
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dd2ad225-be36-4299-a26d-df495c24f920 · outbound
Pseudo-Formalization for Automatic Proof Verification Goedel-Prover-V2: Scaling Formal Theorem Proving with Scaffolded Data Synthesis and Self-Correction
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c53d7d5e-2445-4b4c-af00-473db18c4a4e · outbound
Pseudo-Formalization for Automatic Proof Verification Trust, but verify: A self-verification approach to reinforcement learning with verifiable rewards
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1db0e006-9de9-4d0c-af03-20726d5c20c7 · outbound
Pseudo-Formalization for Automatic Proof Verification Towards robust mathematical reasoning
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 079f52f3-3440-42c7-89da-cc5f09f1eb31 · outbound
Pseudo-Formalization for Automatic Proof Verification Scaling generative verifiers for natural language mathematical proof verification and selection.arXiv preprint arXiv:2511.13027
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 27579b8c-6be2-43b7-8c25-91898a9b27ff · outbound
Pseudo-Formalization for Automatic Proof Verification The Expressive Power of Transformers with Chain of Thought
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 070ba25d-d8dd-4f56-8fc1-0fcae0e87647 · outbound
Pseudo-Formalization for Automatic Proof Verification The lean 4 theorem prover and programming language
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0d1cd5b0-8b56-493c-8826-341f59fb2edd · outbound
Pseudo-Formalization for Automatic Proof Verification Springer
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 84390bf3-e4bd-408e-bfe2-e7419dca1b93 · outbound
Pseudo-Formalization for Automatic Proof Verification Hard2verify: A step-level verification benchmark for open-ended frontier math
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3560a904-2168-44ab-afcd-9634fdd732c9 · outbound
Pseudo-Formalization for Automatic Proof Verification Real algebraic surfaces biholomorphically equivalent but not algebraically equivalent
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e430d50e-0a77-478a-b85b-4605b2a059a4 · outbound
Pseudo-Formalization for Automatic Proof Verification Liquid tensor experiment.Experimental Mathematics, 31(2):349–354
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7e38257b-12d9-4832-96ea-81a9518f4c3a · outbound
Pseudo-Formalization for Automatic Proof Verification Deepseekmath-v2: Towards self-verifiable mathematical reasoning
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bccfd1ef-cd00-45cc-bdd6-9b3866db07f6 · outbound
Pseudo-Formalization for Automatic Proof Verification Heimdall: test-time scaling on the generative verification
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5a95f614-22a4-4992-b31a-f8317bb00329 · outbound
Pseudo-Formalization for Automatic Proof Verification A promising path towards autoformalization and general artificial intelli- gence
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f5cd6e4c-a664-4d03-9427-b80d1d75f41c · outbound
Pseudo-Formalization for Automatic Proof Verification From solving to verifying: A unified objective for robust reasoning in llms
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5f649650-5dad-4c81-9a07-fc37db7f083a · outbound
Pseudo-Formalization for Automatic Proof Verification Autoformalization with large language models.Advances in neural information processing systems, 35:32353–32368
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ee2a97a3-8d9a-4e7d-8192-14c56ac69d43 · outbound
Pseudo-Formalization for Automatic Proof Verification PENCIL: Long Thoughts with Short Memory
Reference 33
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d118b28f-2bfd-4ef8-ba05-3ceec6eb8488 · outbound
Pseudo-Formalization for Automatic Proof Verification Recursive Models for Long-Horizon Reasoning
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation de214421-6c3c-4737-a5c7-ee1450b7fa89 · outbound
Pseudo-Formalization for Automatic Proof Verification Loca-bench: Benchmarking language agents under controllable and extreme context growth
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation aa5b3004-feb1-4f72-9ba2-6db373df0f5d · outbound
Pseudo-Formalization for Automatic Proof Verification Generative Verifiers: Reward Modeling as Next-Token Prediction
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7bb176e1-23a5-4116-a50b-ee48947e0763 · outbound
Pseudo-Formalization for Automatic Proof Verification Sample, Scrutinize and Scale: Effective Inference-Time Search by Scaling Verification
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a9e30482-a722-4d24-a180-71a0259cf9bf · outbound
Pseudo-Formalization for Automatic Proof Verification Processbench: Identifying process errors in mathematical reasoning
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2227c853-fa29-4adf-93ad-bb36fb991248 · outbound
Pseudo-Formalization for Automatic Proof Verification Leanarchitect: Automating blueprint generation for humans and ai
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ed1d0f70-b0bb-4c89-8511-032d7f79eed1 · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 22b1fd37-7880-4dd4-a6da-e280683a8ff2 · outbound
Pseudo-Formalization for Automatic Proof Verification Definition 3(Block-wise verification algorithm).Let P= (G , T) be a Pseudo-Formal proof with node set V={v 1
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ec8cd8a4-bfd1-445d-9888-62e08dda9fb9 · outbound
Pseudo-Formalization for Automatic Proof Verification 1"> Assumptions / Conditions / Definitions. - ... Statement : ... </PROPOSITION_STATEMENT> <LEMMA_STATEMENT id=
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ebfeb71e-f00c-4bb5-8f94-080653ec0ef2 · outbound
Pseudo-Formalization for Automatic Proof Verification These are often the parent or ancestor statements of the Assertion, and can be the same as the global theorem
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c4ced01d-5a14-4914-9c74-9484274dba62 · outbound
Pseudo-Formalization for Automatic Proof Verification You may assume all established results are correct and use them freely - do NOT re-verify them
Reference 44
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 30b040ee-0529-4321-af3a-1440697c556c · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 86147025-32f8-496f-ac93-b5d700532681 · outbound
Pseudo-Formalization for Automatic Proof Verification verdict"
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fa12f371-a11e-453a-8785-bfab88e9ed27 · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 16ec747d-5064-4a9e-bbb0-98404c936936 · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 48163930-2a9e-4af4-9ccc-aec11feab942 · outbound
Pseudo-Formalization for Automatic Proof Verification This rewrite was produced automatically and may contain artifacts that are not present in the original solution
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1156f372-572c-44a9-9cf5-61863bd02b0c · outbound
Pseudo-Formalization for Automatic Proof Verification These may or may not be genuine errors in the original solution
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2a657d16-6a89-4360-9382-18e67e1885fe · outbound
Pseudo-Formalization for Automatic Proof Verification For each flagged issue, decide whether it is a genuine mathematical error in the ORIGINAL solution or a false alarm caused by the rewrite
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4406ccf3-850d-4fa0-9df5-96c79a2881ee · outbound
Pseudo-Formalization for Automatic Proof Verification The potential errors are useful leads, but your final output must be based on the original solution steps
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6ffca279-01ba-4b52-abbe-b97f72621341 · outbound
Pseudo-Formalization for Automatic Proof Verification For each original step, determine whether that step is correct or incorrect
Reference 53
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a90ef981-c9e1-4211-9089-d79efd6c790d · outbound
Pseudo-Formalization for Automatic Proof Verification corrected typos in the proof of Theorem 3
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9ef97a82-7dee-49b1-99bb-dea06afabd3d · outbound
Pseudo-Formalization for Automatic Proof Verification Use this to read the paper as a human reader would, with all theorem/lemma/proposition numbers rendered
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1d1ee891-542d-47e2-80b7-aa90a1263a28 · outbound
Pseudo-Formalization for Automatic Proof Verification Theorem 19
Reference 56
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f3ee4eae-eacd-48e6-a5db-b8d59c2646b1 · outbound
Pseudo-Formalization for Automatic Proof Verification Use it to read the paper as a human would and to identify the rendered numerical or letter labels of every theorem/lemma/proposition/corollary/claim
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dc9cceaa-00a3-43f5-9b7d-e2efd0cdc2c3 · outbound
Pseudo-Formalization for Automatic Proof Verification Use it to inspect precise notation, equations, and the exact wording of each statement and proof
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 60ecff44-5eff-43fe-8a9c-0a1016fdbdc4 · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c303feaf-1c3a-4cac-8d79-7cb99b093428 · outbound
Pseudo-Formalization for Automatic Proof Verification N"> may cite any of the propositions; a <PROPOSITION_PROOF id=
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 66722f31-b946-42a5-a3ac-ab2344ff45e8 · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation da423b7d-896e-43c4-b7a4-5c6b37cd1a32 · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 62
Source-reported events for the cited work
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Observation 3bc07f58-66a6-45db-b7a0-087107bf9bdd · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 41d0a687-2680-445f-a304-a0c5e49f61a7 · outbound
Pseudo-Formalization for Automatic Proof Verification Requirements for the new rewrite: - Fix every issue listed in the Identified Errors
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 42e9014d-e768-4eee-b811-9c449282d405 · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ca4d82e6-f84e-401e-ba1c-445b4db9aec0 · outbound
Pseudo-Formalization for Automatic Proof Verification These are provided so you can understand the scope of the Assertion
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 825e9273-8894-4593-a68b-b517076427e0 · outbound
Pseudo-Formalization for Automatic Proof Verification You may use them as reference points
Reference 67
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dd728b64-752c-4ecb-848f-363201d3527c · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 77d72ab1-3d03-4884-ba24-af01bbeb9351 · outbound
Pseudo-Formalization for Automatic Proof Verification Your task is to determine whether the Assertion and its Proposed Proof **faithfully represent** the corresponding part of the Original Paper
Reference 69
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation aa533b57-87e4-44bd-9c75-c60934c4268c · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 350c8eec-560b-45bc-978e-5c2929bb5d66 · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 80eb84f7-6a1b-4ed5-a619-289457870ee7 · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 72
Source-reported events for the cited work
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Observation 384845c5-ab6d-4aae-80e1-b925407a37d6 · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2fef5e53-8c1d-4809-89b2-556a6c2b7ee4 · outbound
Pseudo-Formalization for Automatic Proof Verification Unresolved cited work
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6f331cc3-9cc5-4adc-9980-40f453dd288c · outbound
Pseudo-Formalization for Automatic Proof Verification verdict"
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
No inbound Pith citation observations are available.