{"as_of":"2026-08-12T11:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b5978ff4b67b03eee5754193ca9b7103818c5c7c7ab2fe1aa7975d91f9385507","coverage":[{"denominator":126,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T10:35:40.491600Z","state":"measured"},{"denominator":101,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":101,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T04:22:25.964561Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.05295","snapshot_observed_at":"2026-08-03T04:22:25.964561Z","title":"Sample complexity and representation ability of test-time scaling paradigms","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.05395","last_updated":"2026-05-31T20:25:40Z","snapshot_observed_at":"2026-08-11T06:47:25.858083Z","submitted_at":"2026-02-05T07:22:00Z","title":"Optimal Bayesian Stopping for Efficient Inference of Consistent LLM Answers","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-03T04:22:25.964561Z"},"links":{"cited_paper":"/paper/2506.05295","citing_paper":"/paper/2602.05395"},"observation_digest":"sha256:ee0787d28e6d3033a3ee09ea300dc2d5a873672b165815d676e2dfa6c9e75809","observation_id":"6b824123-21a2-4d22-b7c8-e95d071e2567","resolution":{"observed_at":"2026-08-03T04:22:25.964561Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.05295/citation-record","integrity":"/paper/2506.05295/integrity","json":"/paper/2506.05295/citation-record.json","paper":"/paper/2506.05295"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:31.263607Z","title":"Aggarwal and S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:31.263607Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:23fe0551f3ff2a80d5f7b3382d7ad31f725d210f333099303b60ea8aaab8baf7","observation_id":"2f3e5c08-4b7f-4a64-9ad0-b414ae9c58c3","resolution":{"observed_at":"2026-08-07T10:35:31.263607Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:31.374604Z","title":"Agrawal and R","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:31.374604Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:f0079567aca0b5df505d3e4f272bcc823cae9a9d12d6cdb88bdb7f46d730c4bb","observation_id":"1de233af-a246-42e9-bb67-92eeaba051b5","resolution":{"observed_at":"2026-08-07T10:35:31.374604Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.15661","last_updated":"2023-05-17T21:08:32Z","snapshot_observed_at":"2026-08-07T19:33:04.292595Z","submitted_at":"2022-11-28T18:59:51Z","title":"What learning algorithm is in-context learning? Investigations with linear models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.15661","snapshot_observed_at":"2026-08-07T10:35:31.465418Z","title":"Akyürek, D","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:31.465418Z"},"links":{"cited_paper":"/paper/2211.15661","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:ba3d5552ede0e9a202540bbfcd3819fb3e5e897473bf1b1e55b67e41834c399b","observation_id":"28e1641e-114d-4055-b832-26a353897eb3","resolution":{"observed_at":"2026-08-07T10:35:31.465418Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:31.594408Z","title":"Alberti, N","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:31.594408Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:e39d60050b9139ad1a3411d0dd881bee4730cfebabc460a1990a7f00bc21332e","observation_id":"0c7b0ce5-8de4-40e8-9822-850fef468f15","resolution":{"observed_at":"2026-08-07T10:35:31.594408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.04901","last_updated":"2022-11-14T12:21:27Z","snapshot_observed_at":"2026-08-10T14:39:57.519496Z","submitted_at":"2022-07-11T14:24:38Z","title":"Exploring Length Generalization in Large Language Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.04901","snapshot_observed_at":"2026-08-07T10:35:31.656942Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:31.656942Z"},"links":{"cited_paper":"/paper/2207.04901","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:fc8db1c75ab1a0a849777956ca99855593635ffac16f46de336192b2fdec6eea","observation_id":"e4fb750f-102f-4691-8869-fa8a05a9f380","resolution":{"observed_at":"2026-08-07T10:35:31.656942Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.04637","last_updated":"2023-07-06T16:55:36Z","snapshot_observed_at":"2026-08-10T14:40:55.236437Z","submitted_at":"2023-06-07T17:59:31Z","title":"Transformers as Statisticians: Provable In-Context Learning with In-Context Algorithm Selection","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.04637","snapshot_observed_at":"2026-08-07T10:35:31.737627Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:31.737627Z"},"links":{"cited_paper":"/paper/2306.04637","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:6afe426dc3f8d0f0a23f919f4d0d3b6f7f68d7e168c1ed4e75c5abfad8e303e6","observation_id":"db6b70ca-1927-4cee-9d81-fdcee9e4906c","resolution":{"observed_at":"2026-08-07T10:35:31.737627Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:31.806231Z","title":"Barak, B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:31.806231Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:73492eb6f3d783cddcef652d7afb514de4769b40157ebb016bdb417e185827ec","observation_id":"bf123c51-6290-4af2-a030-68c5e2c85f7f","resolution":{"observed_at":"2026-08-07T10:35:31.806231Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:31.882392Z","title":"Bhattamishra, K","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:31.882392Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:f4513de802930be9d00d6189026dc90d22c982a8a5cde2cbc3ecea21940c138a","observation_id":"2503599d-69f7-4665-b20c-5fdd226677f7","resolution":{"observed_at":"2026-08-07T10:35:31.882392Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:31.947397Z","title":"Bhattamishra, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:31.947397Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:274047799c110732bc8ce7ee29ede8e183bc6d198fc4a87b40eba6c1c93d7321","observation_id":"091790ee-7c61-4915-b7fc-6a13aa7ac6cf","resolution":{"observed_at":"2026-08-07T10:35:31.947397Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.12123","last_updated":"2025-06-06T05:45:58Z","snapshot_observed_at":"2026-08-07T18:11:23.591332Z","submitted_at":"2025-02-17T18:46:32Z","title":"On the Query Complexity of Verifier-Assisted Language Generation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.12123","snapshot_observed_at":"2026-08-07T10:35:32.017681Z","title":"Botta, Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.017681Z"},"links":{"cited_paper":"/paper/2502.12123","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:2e52f7443d61786b281c4331c07f45ff03406d409cebd8a3fffa47012d6a4a57","observation_id":"8b46d700-18f4-4b04-8681-1e2041bef902","resolution":{"observed_at":"2026-08-07T10:35:32.017681Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21787","last_updated":"2024-12-30T19:03:24Z","snapshot_observed_at":"2026-07-06T18:55:11.576666Z","submitted_at":"2024-07-31T17:57:25Z","title":"Large Language Monkeys: Scaling Inference Compute with Repeated Sampling","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21787","snapshot_observed_at":"2026-08-07T10:35:32.089958Z","title":"Brown, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.089958Z"},"links":{"cited_paper":"/paper/2407.21787","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:3e160030f51f293aac3780c8b0f9e434477c3454fd55b6cac1b8714ff96a0ae8","observation_id":"20be0fd3-1b07-403a-b099-4abe818dbcfd","resolution":{"observed_at":"2026-08-07T10:35:32.089958Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:32.162556Z","title":"Brown, B","venue":null,"work_id":null,"year":1901},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.162556Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:12a3acfbd44af1da598d42419e7448199ed5f4dd8a3f62e55ada699b8b4855cb","observation_id":"2275c98d-47de-486d-88b9-bad12c79ff27","resolution":{"observed_at":"2026-08-07T10:35:32.162556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.12712","last_updated":"2023-04-13T20:41:31Z","snapshot_observed_at":"2026-08-03T04:49:15.195814Z","submitted_at":"2023-03-22T16:51:28Z","title":"Sparks of Artificial General Intelligence: Early experiments with GPT-4","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.12712","snapshot_observed_at":"2026-08-07T10:35:32.246474Z","title":"Bubeck, V","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.246474Z"},"links":{"cited_paper":"/paper/2303.12712","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:a4828a416c0d8d8a821092adedba13d5038284ea6ee44e87a08fd1e67f3bbd51","observation_id":"482b234c-a524-4e1d-9df4-0d9af15a63e1","resolution":{"observed_at":"2026-08-07T10:35:32.246474Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:32.338683Z","title":"Carpentier and M","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.338683Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:09f1e50d00fd126050d0d9c4cfe606a7861c95f49d118ae162fac2ff8a9271ff","observation_id":"74021a57-a2ba-4b01-baf3-85f2bf8041da","resolution":{"observed_at":"2026-08-07T10:35:32.338683Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:32.422828Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.422828Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:49ea24a0c8a497d14c832f8f5663a7905fee56f06e2cf47b748b4801aff7056e","observation_id":"e23e8ca9-4f63-4fff-9e48-a9e4293bc367","resolution":{"observed_at":"2026-08-07T10:35:32.422828Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:32.497071Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.497071Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:a1b8fc26c897971ecca59d58cc2b41badaee5bee2c099048b43f6ebab3b6f56c","observation_id":"858e4c18-6af0-4fe3-b506-9b3e4d0a970a","resolution":{"observed_at":"2026-08-07T10:35:32.497071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:32.568071Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.568071Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:104554acfa915e209c0945235a5a979aa56bd1f3acadf34e7a02196f9524f2c2","observation_id":"b7a1d362-1761-40c3-873a-3c691b736e54","resolution":{"observed_at":"2026-08-07T10:35:32.568071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:32.640433Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.640433Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:b8014f61c80f4a4c769acfa98276fd85753e8e39ae528d6f8e1d25b52e1635e7","observation_id":"dfab8aa2-4878-443f-9a6a-d4b6701345e3","resolution":{"observed_at":"2026-08-07T10:35:32.640433Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.21187","last_updated":"2025-02-01T07:57:37Z","snapshot_observed_at":"2026-08-01T16:43:44.704797Z","submitted_at":"2024-12-30T18:55:12Z","title":"Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.21187","snapshot_observed_at":"2026-08-07T10:35:32.731434Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.731434Z"},"links":{"cited_paper":"/paper/2412.21187","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:7bca17af377e02f372a31b880f52b8ffc80e39d1fd35ad9cdf1a2d94ee170cf0","observation_id":"5af40747-56fa-4d67-9220-efb53c98b8fa","resolution":{"observed_at":"2026-08-07T10:35:32.731434Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.02311","last_updated":"2022-10-05T06:02:24Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2022-04-05T16:11:45Z","title":"PaLM: Scaling Language Modeling with Pathways","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.02311","snapshot_observed_at":"2026-08-07T10:35:32.809555Z","title":"Chowdhery, S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.809555Z"},"links":{"cited_paper":"/paper/2204.02311","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:a2e4c307d56ede0c00635a0fdea217c4b99b245553f45e17f5a34a3f3692e1f2","observation_id":"54d6edcd-869e-4109-9a4b-7b8632255b4e","resolution":{"observed_at":"2026-08-07T10:35:32.809555Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.14168","last_updated":"2021-11-18T00:23:45Z","snapshot_observed_at":"2026-08-07T01:45:38.840969Z","submitted_at":"2021-10-27T04:49:45Z","title":"Training Verifiers to Solve Math Word Problems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.14168","snapshot_observed_at":"2026-08-07T10:35:32.887559Z","title":"Cobbe, V","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.887559Z"},"links":{"cited_paper":"/paper/2110.14168","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:b32e2a30023dfdc71d396f125c04b971797fc98f5a76ef6fd988b8079f5fb55d","observation_id":"ec4cb032-a0d4-4748-a4c6-bc5f7706949e","resolution":{"observed_at":"2026-08-07T10:35:32.887559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:32.988736Z","title":"Codeforces, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:32.988736Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:3ce556e0a52469ef1b323675dd336cd2f832b13d3bcca74bafd5a0f0eb988ec9","observation_id":"a2b22f4e-3b74-4c37-8b7f-0ef28e015ff7","resolution":{"observed_at":"2026-08-07T10:35:32.988736Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.08235","last_updated":"2025-02-12T09:23:26Z","snapshot_observed_at":"2026-08-10T00:41:29.483613Z","submitted_at":"2025-02-12T09:23:26Z","title":"The Danger of Overthinking: Examining the Reasoning-Action Dilemma in Agentic Tasks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.08235","snapshot_observed_at":"2026-08-07T10:35:33.109279Z","title":"Cuadron, D","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.109279Z"},"links":{"cited_paper":"/paper/2502.08235","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:c8565703f450f3b6d4027ef224fbb769f8857c72cc600514d89bffc48c8c25b9","observation_id":"c55f0859-3091-4791-a80c-53eca61869e0","resolution":{"observed_at":"2026-08-07T10:35:33.109279Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:33.176881Z","title":"Deepseek-r1: Incentivizing reasoning capability in llms via reinforcement learning","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.176881Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:4aae2490558480745fadbc32be67630b1de25959b561fa8b15cb849e96466eb5","observation_id":"40769fa7-3b14-4c0f-8342-99c3d0a02007","resolution":{"observed_at":"2026-08-07T10:35:33.176881Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.03819","last_updated":"2019-03-05T16:46:19Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2018-07-10T18:39:15Z","title":"Universal Transformers","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.03819","snapshot_observed_at":"2026-08-07T10:35:33.244473Z","title":"Dehghani, S","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.244473Z"},"links":{"cited_paper":"/paper/1807.03819","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:4fe25c115990c79dec5a93489e7ca901fb9f2e9020d06486f430ce7cb48bbf13","observation_id":"fdb5f5fe-cd42-4fac-97bc-025a2535bd69","resolution":{"observed_at":"2026-08-07T10:35:33.244473Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:33.308916Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.308916Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:2251492f3146dd92746fff8a655fa0f0025f7b61f7e6124a8c1f8a0c9824820a","observation_id":"b2c8bbb8-2a9e-409f-ad45-55440e7df1c6","resolution":{"observed_at":"2026-08-07T10:35:33.308916Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:33.381333Z","title":"Elhage, N","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.381333Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:393725244e8fcc9f305fb530e77eac11a12e085c48addc152f0062e8b831fec4","observation_id":"021dba63-6778-4da3-9862-d577bddc0d98","resolution":{"observed_at":"2026-08-07T10:35:33.381333Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:33.453414Z","title":"Even-Dar, S","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.453414Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:d355caee0efe2b55d3259510ed4f708d97140526a440668371319b006e67d81d","observation_id":"89ba6b50-d8a4-4413-908d-6b3bc2fc1448","resolution":{"observed_at":"2026-08-07T10:35:33.453414Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:33.525299Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.525299Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:06cddbdcb059830f033ceb4a490470d02e705b58162d5fc9f9149047e7b5a65f","observation_id":"6bcc1ea4-2d35-48fc-85e6-56a3f7944a39","resolution":{"observed_at":"2026-08-07T10:35:33.525299Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.13487","last_updated":"2023-07-11T16:47:42Z","snapshot_observed_at":"2026-08-10T14:40:29.128964Z","submitted_at":"2021-12-27T02:53:44Z","title":"The Statistical Complexity of Interactive Decision Making","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.13487","snapshot_observed_at":"2026-08-07T10:35:33.596382Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.596382Z"},"links":{"cited_paper":"/paper/2112.13487","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:cc9525686a438516afeee0421e7483b78001a486b5acbf97fe584b5fb4cca498","observation_id":"bd1cf12c-0a9d-4040-8465-c2e8df431de4","resolution":{"observed_at":"2026-08-07T10:35:33.596382Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:33.670067Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.670067Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:0ce8087523eeb3729bf61755a618edc78021d3c3fb3c9ba507b51c8603ae3ee2","observation_id":"943f917c-130f-447d-8d1c-4d5ef017f6f0","resolution":{"observed_at":"2026-08-07T10:35:33.670067Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:33.738818Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.738818Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:f0bae558f9825df5cdd8d4f9a5641ed185c309d3386da60e387270d57f68e8ac","observation_id":"d5cc0dee-ce08-49d9-8da3-45b3b1d4d2da","resolution":{"observed_at":"2026-08-07T10:35:33.738818Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.18719","last_updated":"2024-05-30T17:51:53Z","snapshot_observed_at":"2026-08-08T13:23:50.253213Z","submitted_at":"2024-05-29T02:57:15Z","title":"Contextual Position Encoding: Learning to Count What's Important","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.18719","snapshot_observed_at":"2026-08-07T10:35:33.813693Z","title":"Golovneva, T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.813693Z"},"links":{"cited_paper":"/paper/2405.18719","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:d2a1f861dcbdc4de3256f15625c10ea4b4641655b7c0b517ec3587aef3527a4e","observation_id":"723c52f5-ffcc-491a-8f30-bc2fb20c0fbf","resolution":{"observed_at":"2026-08-07T10:35:33.813693Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:33.877217Z","title":"Aime problems and solutions, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.877217Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:d6cf5e7f2a8828ddbeac3689340e36f2f76e1090be89b2addc5b8a9445df7a35","observation_id":"06b40dc0-b689-497f-aebd-f91588eb408b","resolution":{"observed_at":"2026-08-07T10:35:33.877217Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:33.947988Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:33.947988Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:c743e0a7d2c10c0a6a13c99db00d0c42b1722d40132e7b05c3689e5c38e93fe7","observation_id":"97fa64f4-06d4-4412-8193-798e114dd181","resolution":{"observed_at":"2026-08-07T10:35:33.947988Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.12948","last_updated":"2026-01-04T03:57:36Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-01-22T15:19:35Z","title":"DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.12948","snapshot_observed_at":"2026-08-07T10:35:34.032473Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:34.032473Z"},"links":{"cited_paper":"/paper/2501.12948","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:2d71c5402be1c2085ae1ea7267c78ccde3503701de8b677c871eb13f7f837d06","observation_id":"6a4ac736-81fc-45f6-ac39-2215efc3dcec","resolution":{"observed_at":"2026-08-07T10:35:34.032473Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.16421","last_updated":"2024-06-17T06:18:13Z","snapshot_observed_at":"2026-08-08T15:12:09.587806Z","submitted_at":"2024-01-29T18:59:07Z","title":"Two Stones Hit One Bird: Bilevel Positional Encoding for Better Length Extrapolation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.16421","snapshot_observed_at":"2026-08-07T10:35:34.131248Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:34.131248Z"},"links":{"cited_paper":"/paper/2401.16421","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:112dcc9752b2463f7cdbfafb570575ae062db2397ca174b645d39cdb03f082c8","observation_id":"ad86ca89-93cd-4b56-97ab-2b939c7db808","resolution":{"observed_at":"2026-08-07T10:35:34.131248Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:34.203850Z","title":"Hendrycks, C","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:34.203850Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:87b8eeb3655633e2ca5e94c2df5e60fcd90d0c49a0fb6460d5858198a1020bd4","observation_id":"6ec6f102-13e7-46ed-97ab-af56dc5b6636","resolution":{"observed_at":"2026-08-07T10:35:34.203850Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:34.607374Z","title":"Hoffmann, S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:34.607374Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:64b6113d35714a74c2e9c629295c39da1c06b213311988b24088e926867e2846","observation_id":"9dfd9165-162b-42a4-897c-05f8306f0f18","resolution":{"observed_at":"2026-08-07T10:35:34.607374Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.01951","last_updated":"2024-12-04T14:20:21Z","snapshot_observed_at":"2026-08-11T23:57:27.579600Z","submitted_at":"2024-12-02T20:24:17Z","title":"Self-Improvement in Language Models: The Sharpening Mechanism","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.01951","snapshot_observed_at":"2026-08-07T10:35:35.274446Z","title":"Huang, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.274446Z"},"links":{"cited_paper":"/paper/2412.01951","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:549c21340ccb349843a4436ce079906193c680cf4bb0acd0bb26a4b016cd9d5d","observation_id":"179cc3d2-eb8c-4a8f-a54d-9aa6771e01ee","resolution":{"observed_at":"2026-08-07T10:35:35.274446Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:35.339121Z","title":"Huang, Z","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.339121Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:f1b9085cbefa4d12b2c6a7e3b6aa64dce9eff31d9d0dad1c2ce33dcbd244fac9","observation_id":"70054a29-98fc-4f92-a128-d32fa43feaf5","resolution":{"observed_at":"2026-08-07T10:35:35.339121Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:35.430836Z","title":"Irvine, D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.430836Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:28c49cc925743711efae9e12ed771a51550bf6cd6248a75b424984bfce476513","observation_id":"a75a2e96-6125-435e-9c26-c33295925585","resolution":{"observed_at":"2026-08-07T10:35:35.430836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:35.500328Z","title":"Jamieson, M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.500328Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:58563558b8a36eaa4171279cb9181c6719eddb7de45a42a1751a73b12eec4f5b","observation_id":"21b8c1d9-1c7c-4390-944c-d9ea5a01a8b0","resolution":{"observed_at":"2026-08-07T10:35:35.500328Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.07932","last_updated":"2025-08-11T08:23:28Z","snapshot_observed_at":"2026-08-11T11:48:53.255517Z","submitted_at":"2025-03-11T00:21:32Z","title":"A Theory of Learning with Autoregressive Chain of Thought","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.07932","snapshot_observed_at":"2026-08-07T10:35:35.552146Z","title":"Joshi, G","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.552146Z"},"links":{"cited_paper":"/paper/2503.07932","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:431af14f27ea77490bb7ae07acc4060edae4ae4f60728623016335e3e7ebf776","observation_id":"8cf32611-8da9-4622-b25e-3dd195b04329","resolution":{"observed_at":"2026-08-07T10:35:35.552146Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.08361","last_updated":"2020-01-23T03:59:20Z","snapshot_observed_at":"2026-07-06T08:52:12.656082Z","submitted_at":"2020-01-23T03:59:20Z","title":"Scaling Laws for Neural Language Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.08361","snapshot_observed_at":"2026-08-07T10:35:35.600619Z","title":"Kaplan, S","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.600619Z"},"links":{"cited_paper":"/paper/2001.08361","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:8099d294c86e01790d82cd59e24e1aff09b81bb44c0cfc238042a783d6d998e3","observation_id":"97b8dd5e-2252-4a28-87ec-3b9e7e7f29eb","resolution":{"observed_at":"2026-08-07T10:35:35.600619Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:35.657484Z","title":"Kimi k1.5: Scaling reinforcement learning with llms","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.657484Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:233daf1e6ceb300c8d88e74291cc7aec1db0e21fa542f181b604577ddb6330b8","observation_id":"3ee7183e-8ffb-4161-a745-8252c340e21d","resolution":{"observed_at":"2026-08-07T10:35:35.657484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:35.711468Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.711468Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:b5887dd3f24082eaea7ca71f726cfeffa67985ee5339712aee46ec3e6b9bdb67","observation_id":"ef43cc52-812b-49f7-bfaf-35e3f5e5dccf","resolution":{"observed_at":"2026-08-07T10:35:35.711468Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.12917","last_updated":"2024-10-04T17:28:45Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2024-09-19T17:16:21Z","title":"Training Language Models to Self-Correct via Reinforcement Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.12917","snapshot_observed_at":"2026-08-07T10:35:35.784058Z","title":"Kumar, V","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.784058Z"},"links":{"cited_paper":"/paper/2409.12917","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:83f239afc647e893b0ff000fc2a640d2261866d37c2c553d8916fb4bbaf5c5aa","observation_id":"56477224-28ca-472a-aa3f-317d8037ed91","resolution":{"observed_at":"2026-08-07T10:35:35.784058Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.01353","last_updated":"2021-11-03T00:53:16Z","snapshot_observed_at":"2026-07-06T12:04:28.686580Z","submitted_at":"2021-11-02T03:30:17Z","title":"Can Vision Transformers Perform Convolution?","version":2},"cited_work":{"arxiv_id":"2111.01353","doi":null,"metadata_source":"pith","pith_arxiv_id":"2111.01353","snapshot_observed_at":"2026-08-07T10:35:43.815601Z","title":"Can Vision Transformers Perform Convolution?","venue":"cs.CV","work_id":"82a309c8-c765-4dd6-9191-13001810c142","year":2021},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.850508Z"},"links":{"cited_paper":"/paper/2111.01353","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:f4ba469cdfaf6bb0caebc90aeaa2eea0cd81a6b2690e50f8a23363c469e53a66","observation_id":"c743a498-5b12-4980-b2b0-8284d1d5795d","resolution":{"observed_at":"2026-08-07T10:35:43.874488Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:35.904484Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.904484Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:159edb21b08dfc86b5ee149e652a8fe893035532095b1b6991fa208352618355","observation_id":"16c3f123-7a4d-466d-abea-28441e90bca0","resolution":{"observed_at":"2026-08-07T10:35:35.904484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.13276","last_updated":"2023-04-26T04:33:41Z","snapshot_observed_at":"2026-08-07T10:06:04.747785Z","submitted_at":"2023-04-26T04:33:41Z","title":"The Closeness of In-Context Learning and Weight Shifting for Softmax Regression","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.13276","snapshot_observed_at":"2026-08-07T10:35:35.958726Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:35.958726Z"},"links":{"cited_paper":"/paper/2304.13276","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:82b93e87216f2188516029963a59f32c3a267d6c24eb29f9f05264f0de1335ed","observation_id":"159f012e-4ba7-4d5c-951b-b77bf004f129","resolution":{"observed_at":"2026-08-07T10:35:35.958726Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.21046","last_updated":"2024-07-22T18:00:00Z","snapshot_observed_at":"2026-08-12T09:54:19.857790Z","submitted_at":"2024-07-22T18:00:00Z","title":"Promises and Pitfalls of Generative Masked Language Modeling: Theoretical Framework and Practical Guidelines","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.21046","snapshot_observed_at":"2026-08-07T10:35:36.015670Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.015670Z"},"links":{"cited_paper":"/paper/2407.21046","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:c1688b40bf85c91b7ae14c2ede194c7f88fb7faa1096b17f01d31a2677b3af88","observation_id":"8c9458b0-7231-457e-a351-c925cd446f16","resolution":{"observed_at":"2026-08-07T10:35:36.015670Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:36.073455Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.073455Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:c65876afe6afb2cd919084f2e4556bb874180b0758e78b3e2d71ac8703d25b3d","observation_id":"dd605a39-25f2-4fb6-82f8-2c5c2efc2bc2","resolution":{"observed_at":"2026-08-07T10:35:36.073455Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.03764","last_updated":"2021-06-08T10:02:26Z","snapshot_observed_at":"2026-08-10T14:40:11.318545Z","submitted_at":"2021-06-07T16:30:28Z","title":"On the Expressive Power of Self-Attention Matrices","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.03764","snapshot_observed_at":"2026-08-07T10:35:36.139688Z","title":"Likhosherstov, K","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.139688Z"},"links":{"cited_paper":"/paper/2106.03764","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:2e9c753c9467fcf7e90686ba95e707d2f24947f385ba6ef05d33059dc063f047","observation_id":"dae4161d-c791-40f6-9e6c-693df28b69e8","resolution":{"observed_at":"2026-08-07T10:35:36.139688Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.08566","last_updated":"2024-05-26T04:55:19Z","snapshot_observed_at":"2026-08-10T14:40:14.828562Z","submitted_at":"2023-10-12T17:55:02Z","title":"Transformers as Decision Makers: Provable In-Context Reinforcement Learning via Supervised Pretraining","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.08566","snapshot_observed_at":"2026-08-07T10:35:36.202620Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.202620Z"},"links":{"cited_paper":"/paper/2310.08566","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:f3cde93e24efc3cdb683cd88294465ee7270af4669c4cee8403df9718d945e9f","observation_id":"c84e3eb6-9af2-4682-a82d-4f7318704b19","resolution":{"observed_at":"2026-08-07T10:35:36.202620Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:36.256262Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.256262Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:f35cc1425e75c18eb10b475290e20b41b6bd9f8d41ee805c524a2359a290ce5c","observation_id":"05479253-802e-4601-9dad-9a36a841c970","resolution":{"observed_at":"2026-08-07T10:35:36.256262Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.10749","last_updated":"2023-05-02T14:16:15Z","snapshot_observed_at":"2026-08-10T14:40:09.922399Z","submitted_at":"2022-10-19T17:45:48Z","title":"Transformers Learn Shortcuts to Automata","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.10749","snapshot_observed_at":"2026-08-07T10:35:36.314306Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.314306Z"},"links":{"cited_paper":"/paper/2210.10749","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:41f6e89e95df615f4e593505e7b88dda39cb5e3b5bd897bc707e796f7def1e4a","observation_id":"57831585-3380-467f-adc1-c3cd17489a82","resolution":{"observed_at":"2026-08-07T10:35:36.314306Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:36.399543Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.399543Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:7901d6ffbf0e1dad80a3b1719320c2aa3402329d96c78d989b8f5f99e8f4fa67","observation_id":"694fef25-e6bf-41ac-9e9e-9291934d416a","resolution":{"observed_at":"2026-08-07T10:35:36.399543Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:36.474448Z","title":"Madaan, N","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.474448Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:e9e11f7b3318e2cd89612db4fdfd0902ed27c5f06a6623af7a33dd39c4ba1f0b","observation_id":"7ebaf380-6631-493b-b7fc-dc84b66ee6a1","resolution":{"observed_at":"2026-08-07T10:35:36.474448Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.11420","last_updated":"2023-09-20T15:51:10Z","snapshot_observed_at":"2026-07-06T16:21:21.249108Z","submitted_at":"2023-09-20T15:51:10Z","title":"Deep Networks as Denoising Algorithms: Sample-Efficient Learning of Diffusion Models in High-Dimensional Graphical Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.11420","snapshot_observed_at":"2026-08-07T10:35:36.527726Z","title":"Mei and Y","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.527726Z"},"links":{"cited_paper":"/paper/2309.11420","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:38c7809d58b95f0e0d1893a7a7b25ce0b33dd4e470768f873d407d8073895504","observation_id":"1279af67-3c47-4d21-8d3c-00eb0a553762","resolution":{"observed_at":"2026-08-07T10:35:36.527726Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.07923","last_updated":"2024-04-11T18:03:53Z","snapshot_observed_at":"2026-08-02T23:51:22.170619Z","submitted_at":"2023-10-11T22:35:18Z","title":"The Expressive Power of Transformers with Chain of Thought","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.07923","snapshot_observed_at":"2026-08-07T10:35:36.615180Z","title":"Merrill and A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.615180Z"},"links":{"cited_paper":"/paper/2310.07923","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:14da51e00f72af07f43b316214fc0dbc5b1d16f8fc82182d929c2d12b427b4ce","observation_id":"c292316a-99d1-42cf-aa41-7fda59bf8236","resolution":{"observed_at":"2026-08-07T10:35:36.615180Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:36.679835Z","title":"Munkhbat, N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.679835Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:5c4182da14de0fc7c72abb3bd7cdd04abd54362686fb442fee7b775346c0c631","observation_id":"3599870d-bb19-4738-ad26-8cd80699efac","resolution":{"observed_at":"2026-08-07T10:35:36.679835Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:36.795119Z","title":"Nguyen, D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.795119Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:86c050707b1cfabf80433951c65173d4082f6d6892e4b143875593a4295cc288","observation_id":"ecdb5e1a-1db2-4943-9c05-5a38c69d2141","resolution":{"observed_at":"2026-08-07T10:35:36.795119Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.11895","last_updated":"2022-09-24T00:43:19Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2022-09-24T00:43:19Z","title":"In-context Learning and Induction Heads","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.11895","snapshot_observed_at":"2026-08-07T10:35:36.937388Z","title":"Olsson, N","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:36.937388Z"},"links":{"cited_paper":"/paper/2209.11895","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:4ffe8daf00f1df2700fb66f996834e854f21bef555a3c501b606181ea9742c2b","observation_id":"f7ee8b3b-c52b-47c4-a84e-d3f4e7790834","resolution":{"observed_at":"2026-08-07T10:35:36.937388Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:37.062418Z","title":"Openai o1 system card","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:37.062418Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:1cadc84a44e01bc85503a3c5fdfe64ec9798fbd229a0b9a08aa7dc6e4cbb18ee","observation_id":"73f99fd1-7880-48e9-a5fa-fb147f70ba08","resolution":{"observed_at":"2026-08-07T10:35:37.062418Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:37.211354Z","title":"Openai o3-mini, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:37.211354Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:c29cbecdb36fa7cd5f6276073d745764e4148403abba62a4f84f141c2db9cf2b","observation_id":"8fa25975-9cce-42b8-84ea-39077102d11c","resolution":{"observed_at":"2026-08-07T10:35:37.211354Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:37.289631Z","title":"Paszke, S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:37.289631Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:91dbce6e7ac0bd783808e18d936cce256e94c0253387c4cc00d151a37766e68e","observation_id":"e97dbf00-9c27-4fdc-9bea-58eb7a4622d6","resolution":{"observed_at":"2026-08-07T10:35:37.289631Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:37.377227Z","title":"Pérez, P","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:37.377227Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:67d3bf83861572a7174dad0c42318d7c5147982d266631d3c4af6e3da107372c","observation_id":"874fb3e4-66b9-4b70-b8f1-96bf68a8c1b7","resolution":{"observed_at":"2026-08-07T10:35:37.377227Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:37.460343Z","title":"Petrov, P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:37.460343Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:23129931f462f2d7dafe3b77c394ecc1599ea17765457d42b5dce5ae6cb3917e","observation_id":"0188bac7-0a53-41cd-83a6-9e03b6aac7d9","resolution":{"observed_at":"2026-08-07T10:35:37.460343Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.16033","last_updated":"2025-09-03T03:41:08Z","snapshot_observed_at":"2026-08-12T05:27:44.842608Z","submitted_at":"2024-10-18T04:38:21Z","title":"TreeBoN: Enhancing Inference-Time Alignment with Speculative Tree-Search and Best-of-N Sampling","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.16033","snapshot_observed_at":"2026-08-07T10:35:37.529991Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:37.529991Z"},"links":{"cited_paper":"/paper/2410.16033","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:c8018c4dad4bc22a6e9bb4471a693d28c3c38d6e1757602a60c922a445cae5cf","observation_id":"f62bbeb3-0f23-42d8-839b-adc3b227546e","resolution":{"observed_at":"2026-08-07T10:35:37.529991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.07572","last_updated":"2025-03-10T17:40:43Z","snapshot_observed_at":"2026-08-10T14:40:38.654692Z","submitted_at":"2025-03-10T17:40:43Z","title":"Optimizing Test-Time Compute via Meta Reinforcement Fine-Tuning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.07572","snapshot_observed_at":"2026-08-07T10:35:37.612022Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:37.612022Z"},"links":{"cited_paper":"/paper/2503.07572","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:4e60c7de19cfd0f6f8e33d500eb3b73323eef33360edae0999bc9b835fb820b0","observation_id":"c2f3e066-ffe6-42d3-8866-d5cb62a0cfe3","resolution":{"observed_at":"2026-08-07T10:35:37.612022Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:37.723626Z","title":"Russo and B","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:37.723626Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:a5dfa9d434e2110edda7761b2e54b15c1af74f4f21b6d4bfd398c6b78afeae7f","observation_id":"fc647274-7564-4c63-92b5-05e8b957c27b","resolution":{"observed_at":"2026-08-07T10:35:37.723626Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:37.849260Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:37.849260Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:36c293b26c47df5de7ba9b472d957da70d86c9b1a92b831cc511617f08f51547","observation_id":"0a6b5194-bf95-45fd-8e2f-e3162dd023bf","resolution":{"observed_at":"2026-08-07T10:35:37.849260Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.12118","last_updated":"2025-02-18T18:54:12Z","snapshot_observed_at":"2026-08-10T14:41:12.777450Z","submitted_at":"2025-02-17T18:43:24Z","title":"Scaling Test-Time Compute Without Verification or RL is Suboptimal","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.12118","snapshot_observed_at":"2026-08-07T10:35:37.965006Z","title":"Setlur, N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:37.965006Z"},"links":{"cited_paper":"/paper/2502.12118","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:10fc13f9b4c27ce0df6d365bc6f2e693a596799f5e79b8590b8bad6b108ba086","observation_id":"e0e4fd3c-792e-4adf-918e-215295894e38","resolution":{"observed_at":"2026-08-07T10:35:37.965006Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:38.061920Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:38.061920Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:e4e553fd97863cc1ad209901c9c34ec404f6d5033238cb9e4f575ded35c73b85","observation_id":"74917599-b916-4d9c-9711-2be70fff4475","resolution":{"observed_at":"2026-08-07T10:35:38.061920Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:38.151238Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:38.151238Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:c29b1c05c0a060598683536551159f2882f553979d1793deb2b45fca45504faf","observation_id":"27ffa459-7ec3-4804-94b0-db9d74f7c7c2","resolution":{"observed_at":"2026-08-07T10:35:38.151238Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:38.268748Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:38.268748Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:a7a84942212b4cc30fa51c1e0f2a7962fa04b53c5b2f2da24f38daccd38c5583","observation_id":"e99cc63f-d617-458b-84c9-87bd9150003c","resolution":{"observed_at":"2026-08-07T10:35:38.268748Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.02674","last_updated":"2025-02-25T16:59:11Z","snapshot_observed_at":"2026-08-11T23:09:04.859107Z","submitted_at":"2024-12-03T18:47:26Z","title":"Mind the Gap: Examining the Self-Improvement Capabilities of Large Language Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.02674","snapshot_observed_at":"2026-08-07T10:35:38.336495Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:38.336495Z"},"links":{"cited_paper":"/paper/2412.02674","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:0c7092ed81e2516661561534d1c22f7fddf5ec299da1858cfe5911fef3f0e581","observation_id":"1c0905cb-9aa6-41d5-ac77-19d69cfcfcb6","resolution":{"observed_at":"2026-08-07T10:35:38.336495Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:38.435625Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:38.435625Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:8d8b15c519b0e10a36d80eae356f2e48bc15ea9ef6286a8a39d1426c362641ee","observation_id":"6abea978-665d-4298-9dc4-df11e4502e28","resolution":{"observed_at":"2026-08-07T10:35:38.435625Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:38.518593Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:38.518593Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:b8e007748a70f877a830ba312080411334d19b8101a3b6fbf14dd2f562487e55","observation_id":"17048fba-47d6-45a5-938e-dcb5b784ee91","resolution":{"observed_at":"2026-08-07T10:35:38.518593Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.07677","last_updated":"2023-05-31T08:59:47Z","snapshot_observed_at":"2026-08-10T16:52:38.794726Z","submitted_at":"2022-12-15T09:21:21Z","title":"Transformers learn in-context by gradient descent","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.07677","snapshot_observed_at":"2026-08-07T10:35:38.610485Z","title":"V on Oswald, E","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:38.610485Z"},"links":{"cited_paper":"/paper/2212.07677","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:2ce61cb52cd539f9b2beee9d783a96c85db96c06b202ce1c47da6bdd57e5f324","observation_id":"609e8753-af36-4bf4-9a0c-47b8338a16eb","resolution":{"observed_at":"2026-08-07T10:35:38.610485Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:51.514883Z","title":"V on Oswald, E","venue":null,"work_id":"15302d18-9801-4539-b927-2bcf5cb0080b","year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:38.706796Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:8fc399f459cf1e4a4dd726a622babfea9d059c750c407e6a469765b85a54d764","observation_id":"4660a8ba-ba40-4365-906d-f00d5957c680","resolution":{"observed_at":"2026-08-07T10:35:51.621762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:51.312421Z","title":null,"venue":null,"work_id":"83434224-b85f-41e1-81bc-1d29e05a5503","year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:38.854901Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:6331dfd64f955940f87d471b908aac3b6f11c5e1d811dd8cc1f0e7aef51a2e53","observation_id":"7275694a-aac1-4dd5-9ea7-cd6dfa7275e3","resolution":{"observed_at":"2026-08-07T10:35:51.402933Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:51.137360Z","title":null,"venue":null,"work_id":"b900623e-8f03-4f4a-9d1d-ef7f4aba2e34","year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:39.005089Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:a7b4ff609fe40ee4ac51bbb19a86f1ababe515125ed082bddd08bd510617781d","observation_id":"051ea6f7-db63-4440-b59a-77bade0bfa5c","resolution":{"observed_at":"2026-08-07T10:35:51.221045Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.18585","last_updated":"2025-02-18T16:51:53Z","snapshot_observed_at":"2026-08-09T22:51:48.255703Z","submitted_at":"2025-01-30T18:58:18Z","title":"Thoughts Are All Over the Place: On the Underthinking of o1-Like LLMs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18585","snapshot_observed_at":"2026-08-07T10:35:39.099727Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:39.099727Z"},"links":{"cited_paper":"/paper/2501.18585","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:58c8cb578c91f4d311c20695faeda0ace7d82abcf0b5555d27fb5ce39157ff11","observation_id":"efaa6c35-3461-45d9-8c86-d68e68440617","resolution":{"observed_at":"2026-08-07T10:35:39.099727Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:50.923947Z","title":null,"venue":null,"work_id":"be35af2c-c4cc-4f0b-bef4-5aa28293e357","year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:39.191194Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:af19cbbc59f0499c200aac8d9e03ccc3dfd5f48360436306865be2e5584cfa22","observation_id":"ca8584d1-5d9b-4b87-b9e3-98c0caa726df","resolution":{"observed_at":"2026-08-07T10:35:51.023225Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:39.314383Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:39.314383Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:a5f8eeb4badc159aabe3f2bc2efe65dd5192d5efe5ac8e775d1667fea8868629","observation_id":"6cbddfe8-df0b-4c4a-ae4d-3169810c82a0","resolution":{"observed_at":"2026-08-07T10:35:39.314383Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:50.710132Z","title":"Welleck, X","venue":null,"work_id":"d5f6136c-0f5d-4071-9116-0ba5b020b9a1","year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:39.384721Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:c69c47257d9b22722394fcbe50ff80553942d2f2cf5b93c7a7b9b101f773bfdd","observation_id":"d3ceb4eb-f44a-4f31-bcd2-03ea29dc5941","resolution":{"observed_at":"2026-08-07T10:35:50.802238Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:50.334543Z","title":null,"venue":null,"work_id":"93716e0d-fee9-40d6-a61d-70cc9f8ca7e7","year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:39.503306Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:07e35f793f7993406aa381435fc500be73b4c8f0a28c6c274676159d26ff586e","observation_id":"bfb93d00-b598-4a93-988a-e1613a0fc9d4","resolution":{"observed_at":"2026-08-07T10:35:50.591933Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:49.858509Z","title":null,"venue":null,"work_id":"edaf6fc4-bb98-4cd6-a37c-846ca4e6573c","year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:39.595356Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:c312dfc6dc6e85482a9d8e923051d62946deb8018b0620d4f61e713f4c937f92","observation_id":"4ed96abe-1c07-4dcd-b40d-731add360c15","resolution":{"observed_at":"2026-08-07T10:35:50.083780Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:49.578538Z","title":null,"venue":null,"work_id":"d1626612-509b-44bb-b66f-3cd591b182c3","year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:39.687585Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:007c2aa142d75a6528122c21b88937e0c32d1e7bda4612c0fc12ead85879c9a0","observation_id":"f735c041-e7ea-4857-861b-2fc035b4d1ec","resolution":{"observed_at":"2026-08-07T10:35:49.717851Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.17453","last_updated":"2024-04-07T00:56:53Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-09-29T17:59:56Z","title":"Efficient Streaming Language Models with Attention Sinks","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.17453","snapshot_observed_at":"2026-08-07T10:35:39.777704Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:39.777704Z"},"links":{"cited_paper":"/paper/2309.17453","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:631f497af520d9897d11586df72e970ce9da1dbb7e25104380e176a9c93b4c45","observation_id":"ad43dd9e-c77f-4f94-acb1-bcc1d48d619b","resolution":{"observed_at":"2026-08-07T10:35:39.777704Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.09388","last_updated":"2025-05-14T13:41:34Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-05-14T13:41:34Z","title":"Qwen3 Technical Report","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.09388","snapshot_observed_at":"2026-08-07T10:35:39.862646Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:39.862646Z"},"links":{"cited_paper":"/paper/2505.09388","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:dc4f947c72882af9f89a9adc6add47a30fd78a4e884639085c1a1a93c31fabf2","observation_id":"e8a684b5-ad3e-43b9-ae7f-ad43e187c278","resolution":{"observed_at":"2026-08-07T10:35:39.862646Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.11115","last_updated":"2023-03-13T01:47:55Z","snapshot_observed_at":"2026-07-06T11:12:04.788175Z","submitted_at":"2021-05-24T06:42:58Z","title":"Self-Attention Networks Can Process Bounded Hierarchical Languages","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.11115","snapshot_observed_at":"2026-08-07T10:35:39.945202Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:39.945202Z"},"links":{"cited_paper":"/paper/2105.11115","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:2bf0792de574b11a0c37e84901245c217389611eaee34041a8b5029918a88b3b","observation_id":"d88f27d7-9d47-4d18-a19f-e753dfa35181","resolution":{"observed_at":"2026-08-07T10:35:39.945202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:49.359882Z","title":null,"venue":null,"work_id":"f542baba-9590-4d36-8da0-7b7ccf62b749","year":2020},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:40.031536Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:4f35abb1bd0d4fcc0bf5955770f687301d2da6806e9d301973097357e6bfe60f","observation_id":"599c1a9b-342d-419c-8457-6a7b5f83da82","resolution":{"observed_at":"2026-08-07T10:35:49.437700Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:49.232453Z","title":"Zaheer, G","venue":null,"work_id":"528c77e9-141f-484d-b9b4-7d697e075943","year":2020},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:40.116984Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:0b363fd5585fadb45dacf88bcb31dd71e75250f8d9f8ca864d776f120c5ac7a3","observation_id":"8133bf3c-f6d6-434a-b809-3f67a0614823","resolution":{"observed_at":"2026-08-07T10:35:49.329955Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:49.073905Z","title":"Zhang, S","venue":null,"work_id":"a5d89464-eaa4-4794-8b60-43b66ee30355","year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:40.176094Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:b734754549fbdd0ba6c74a90c0dc772bee967dc8a4e1c58c6af8406d67e76444","observation_id":"bb0549b3-c6cb-424d-a49f-3835fa3f7a45","resolution":{"observed_at":"2026-08-07T10:35:49.142415Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19115","last_updated":"2024-08-09T06:15:19Z","snapshot_observed_at":"2026-08-10T07:07:33.872653Z","submitted_at":"2024-03-28T03:11:38Z","title":"HiRoPE: Length Extrapolation for Code Models Using Hierarchical Position","version":2},"cited_work":{"arxiv_id":"2403.19115","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.19115","snapshot_observed_at":"2026-08-07T10:35:43.406718Z","title":"HiRoPE: Length Extrapolation for Code Models Using Hierarchical Position","venue":"cs.SE","work_id":"0b489786-c0f3-4299-9d7d-34e2cc06395c","year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:40.183638Z"},"links":{"cited_paper":"/paper/2403.19115","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:5dfc451b935351470911ddff92a7e5985f1468d03eb6fefd3dce67466d747ba3","observation_id":"fa0cbc38-aef4-48de-b254-95a7d48bd7f7","resolution":{"observed_at":"2026-08-07T10:35:43.492055Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.24235","last_updated":"2025-05-04T15:48:08Z","snapshot_observed_at":"2026-08-11T13:17:40.816545Z","submitted_at":"2025-03-31T15:46:15Z","title":"A Survey on Test-Time Scaling in Large Language Models: What, How, Where, and How Well?","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.24235","snapshot_observed_at":"2026-08-07T10:35:40.350270Z","title":"Zhang, F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:40.350270Z"},"links":{"cited_paper":"/paper/2503.24235","citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:0693f7bae694b58ca8263a6b829661349a9eb5763cc6c05d3341d2a65fa98b18","observation_id":"7ff12146-2fd6-421e-bddb-b55a01cf3faa","resolution":{"observed_at":"2026-08-07T10:35:40.350270Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:35:48.915082Z","title":"Zhang, M","venue":null,"work_id":"b53cdd95-efc8-41c8-8e81-32e2b300b869","year":2024},"citing_paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms","version":2},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-07T10:35:40.491600Z"},"links":{"citing_paper":"/paper/2506.05295"},"observation_digest":"sha256:4370c80d4c0abdbb4b25170e082607dfab6884ec63474f80ef42a7acbb3345c7","observation_id":"82306cf7-ce89-4c96-b157-f279126f2aac","resolution":{"observed_at":"2026-08-07T10:35:48.998776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.05295","last_updated":"2025-06-12T16:25:06Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-11T19:02:17.096406Z","submitted_at":"2025-06-05T17:48:19Z","title":"Sample Complexity and Representation Ability of Test-time Scaling Paradigms"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":93,"verified_exact":2,"verified_fuzzy":5},"total_outbound_references":126},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 100 of 126 outbound references and 1 inbound Pith citation observation for arXiv:2506.05295."}