Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T15:18:55.241570Z
Paper Citation Record · LEDGER
As of 20 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 11 inbound Pith citation observations for arXiv:2501.14275.
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 2026-08-10T15:18:55.241570Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T10:58:59.054536Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-15T00:10:14.860851Z
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation cad8bbe3-4c77-449a-8e72-12acde0564b4 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 89825841-82d5-4b34-8c37-b85d667fe9c5 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation • Therefore, the left-hand side (LHS) must also be divisible by k − 1
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e2281d66-87ff-41f3-ab93-69bf3db9de21 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6f06467b-7d14-4efb-9b2e-c4afb8bb7257 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a1bbbe8b-bf33-4de3-8943-77cf5616f72c · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation • Simplifying, we get (l+1)l ll+1 = l + 1
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3a2adc4b-7f2d-4d52-ad94-5185952723ac · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Qwen Rewritten Solution 2:
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0254a5be-9f7d-4533-bde1-ae0f843aff0f · outbound
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d7480dc6-9c30-46f1-a965-b013bfa6f1fa · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d856a60b-2743-481e-98a7-352465ed2b18 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Therefore, we can assume without loss of generality that k ≥ l
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0b826589-1b6d-4874-8c17-cfcd67c68091 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation The equation becomes k1 1k = k! 1! , which simplifies to k = k!
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 187942ae-cf2a-4104-898f-4385655ee853 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation The equation becomes k2 2k = k! 2!
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b35225fb-216b-4b58-8f2e-725e603f7765 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation We have kl lk ≤ 1 and k! l! ≥ 1
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 96a00eab-9818-440e-acd5-c74ef0eb5689 · outbound
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f70c8695-6f1d-4122-bbe0-be613a4e0221 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ad7e0b54-3055-4a0b-8d1e-7d7baa8d702f · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7904f279-55da-49d4-8cf6-e060433d5b22 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 027621b0-79b7-4aa9-85e4-52b2bfb988df · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 29b5b65b-b4af-4370-9e99-b1adc179376f · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a0620f9b-bdaa-4a2f-b6c2-1212f157003f · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a37bcb01-aa0a-411e-8d63-e51571e7627c · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2fe4e4a3-f31c-4fa1-a22a-aa6b51192ac8 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 497aad73-d08e-4ebb-bf4f-665ae4c8406d · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Substitute x = 1− p into the equation: (1 − p)3 + p(1 − p)2 + p − 1 + 1 p − 1 (1 − p) + 1 = 0
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bedfba1a-3a84-4c62-b192-e286b00ee354 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6d5be7c2-8028-4f77-9156-35dd1b3e1f24 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f6757b4a-48fe-4f5f-b611-db35e41cc09e · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation da78032c-dcf9-486f-957c-d36a113175d7 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 51758baf-2ec1-473b-b9b5-2fd04b82f683 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 47726d8e-5fb6-488a-98b3-e52a571a036f · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d9de6c04-e920-4eae-a4ba-528a87f0e19a · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation An example of an incomplete solution where the author left finding the other two roots of the equation to the reader
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 29200646-bb12-4224-bbb8-7e506f206186 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8976d386-a51c-4db3-8665-ba8e0f2cda95 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation When placed on the board, the sum of the numbers on the squares covered by each L-shaped triomino is at least 2
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3232fb2f-549c-41fc-bb23-1498141568ee · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 17e79085-570a-4e42-8b7d-5954d2ff20ac · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Removing one square leaves 24 squares
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8de3d367-5520-4278-94ed-6d29f3532d93 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Given the coloring pattern, the sum of the numbers on all 25 squares is 13 (since there are 12 squares with 0 and 13 squares with 1)
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 744be2f3-694e-4f68-a19b-9c85b11719f4 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0a8790d9-bde4-4259-8e2a-1b1365ab547b · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c047dbbb-a5f4-4837-8962-f4ce46df614d · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation The tiling is impossible in this case
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ff7bc0f1-c2ac-46b0-9abb-61ddefb8d017 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 778a15a9-0d8b-4310-abd7-717a9d566459 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f3b3e2de-bea3-4c92-a9dc-da12c7552e67 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation efdd11fa-1e8d-46b0-8020-4f538f8808d9 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4cf595ba-1a99-4f15-bb5b-9c2f9d0add96 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f0051120-db26-4975-855c-ec2b9d5ccf9b · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 310f56d4-9f7a-456e-82b1-cc68ee27c57d · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dbbbd938-b318-45ae-a9fc-9e3c02ca91e2 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 17dd8651-1b42-4944-9ff4-7ab05f429af4 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e5026b7c-8181-438b-ad20-e847908804cb · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b529f657-fe7a-4274-b677-338d6a2af73f · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7b152ef2-efba-423b-92ff-8433fd932961 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dfb3d302-b4f2-4e1c-a3b5-0a8ac8fd20a6 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 29f6b6ec-4ca1-4d08-aeae-00f3a909e07e · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ed017484-fd76-425f-bf6b-b7508ed64fdb · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ad3ed045-ef46-4cc9-becc-a2c5dfd98266 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c96f7c90-0b2b-41a1-870a-9fd285e098c5 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation This can be achieved by applying the change of base formula for logarithms
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0ff65180-e3b6-429b-bcfb-a0495ce12746 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation AI-Assisted Generation of Difficult Math Questions
Reference 168
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f2918ae9-9879-4dc9-b183-7718399e2712 · outbound
Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation Evaluating and Improving Tool-Augmented Computation-Intensive Math Reasoning
Reference 2019
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d3ec66f-fcf9-4303-9688-51c46752bb16 · inbound
AIMO-2 Winning Solution: Building State-of-the-Art Mathematical Reasoning Models with OpenMathReasoning dataset Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f81a0d5a-71e7-493d-802d-61f26c9b7f61 · inbound
Towards Contamination Resistant Benchmarks Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b4b45f9-f7ce-41f9-9e3d-d09c1e994b25 · inbound
MPS-Prover: Advancing Stepwise Theorem Proving by Multi-Perspective Search and Data Curation Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 766423d0-7bcf-4be1-aaee-9e89e28e8292 · inbound
ThinkSwitcher: When to Think Hard, When to Think Fast Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a1259fe-f11a-455b-9049-eb0266b843d1 · inbound
Think Only When You Need with Large Hybrid-Reasoning Models Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b27acccc-373a-4bd8-8a49-9ee68a1b3667 · inbound
MathArena: Evaluating LLMs on Uncontaminated Math Competitions Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 09f3ea85-30c7-4217-9dcc-2e55072a8104 · inbound
CriticLean: Critic-Guided Reinforcement Learning for Mathematical Formalization Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd4a267d-a62c-45e4-9225-90fb70fc0bb7 · inbound
Towards Concise and Adaptive Thinking in Large Reasoning Models: A Survey Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
Reference 130
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 40e93e4a-e4f7-4bf9-b1ec-a5d749183d9d · inbound
MathNet: a Global Multimodal Benchmark for Mathematical Reasoning and Retrieval Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 159174e6-7127-42af-bdd0-5695e84f8354 · inbound
MathDuels: A Self-Play Benchmark That Grows Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 10287aa3-85cd-4a7e-a755-0653a3a5cd55 · inbound
Beyond Accuracy: Evaluating Strategy Diversity in LLM Mathematical Reasoning Leveraging Online Olympiad-Level Math Problems for LLMs Training and Contamination-Resistant Evaluation
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.