{"as_of":"2026-08-04T15:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7944092b15513f792b33ffda14957a8531c95e5538323d90364287f2907ead79","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T04:55:29.315134Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-04T06:34:03.388597+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":"2026-08-01T21:26:33.106406Z","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":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.18574","snapshot_observed_at":"2026-08-01T21:26:33.106406Z","title":"arXiv preprint arXiv:2604.18574 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16097","last_updated":"2026-07-17T16:31:58Z","snapshot_observed_at":"2026-08-01T21:26:25.268127Z","submitted_at":"2026-07-17T16:31:58Z","title":"Understanding Reasoning from Pretraining to Post-Training","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-01T21:26:33.106406Z"},"links":{"cited_paper":"/paper/2604.18574","citing_paper":"/paper/2607.16097"},"observation_digest":"sha256:79f61a8b7d348665ec79439dfb608363698616d0815a30d0fcc380cf2ba159dc","observation_id":"5b0e64e7-b806-40ff-a5b4-d7e81e974fcf","resolution":{"observed_at":"2026-08-01T21:26:33.106406Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2604.18574/citation-record","integrity":"/paper/2604.18574/integrity","json":"/paper/2604.18574/citation-record.json","paper":"/paper/2604.18574"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.18653/v1/2025.emnlp-main.504","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T15:34:47.461755Z","title":"Measuring Chain of Thought Faithfulness by Unlearning Reasoning Steps","venue":null,"work_id":"ac71a826-b030-4ea0-8c10-d240c1d19493","year":2025},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:7ac342e8bca86d1812cd1b376e083cff6be267befef7dcd589e0aa165acf48cb","observation_id":"2ada7fa5-c5eb-44ee-93d6-5ca8138d79f6","resolution":{"observed_at":"2026-05-10T04:55:33.915543Z","resolver_source":"doi","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"For each prompt, we sample 16 responses from the policy model","venue":null,"work_id":"9dc7ca54-f3c4-4c07-b4b9-b13aec48a557","year":2025},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:9567a4260b3023d36e52bd3024e365eadd13c8e0f6ea24526d89385c74c4f524","observation_id":"089bf9a3-020d-4017-8d8c-9618a37d3d16","resolution":{"observed_at":"2026-05-22T01:24:31.434278Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Mass of sucrose required = 0.2moles× 342g/mole= 68.4g","venue":null,"work_id":"a6540228-0ac9-413b-971e-d3ef1b779707","year":2025},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:df73946b2e5614a7d2f8c2e14b0f1f1c8ea387a86e6559a05cecd94375263ce1","observation_id":"9138869c-eb12-409a-bbb7-a19727298048","resolution":{"observed_at":"2026-05-22T01:24:31.431609Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6e41ec2b-602c-4593-ade6-5ad9278e61b4","year":null},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:8ebf6c578326ac4f5e3b62dcd2da8fc1ab9aa7b72dde0204a7438ec7adbaeaee","observation_id":"675817a6-c1ae-4051-8244-09022b715383","resolution":{"observed_at":"2026-05-22T01:24:31.424258Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"9c2922a5-b03d-40b6-9cb2-346f0e1a0903","year":null},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:ecf216ef6aa060a661576d004589e78f971375c0c72be28da59a166514d7ccc3","observation_id":"ca2e8748-6b35-44c4-a8c8-fc00e2c24d89","resolution":{"observed_at":"2026-05-22T01:24:31.426532Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"737a1814-5dc6-46cf-b1f1-02650d5ab877","year":null},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:e4c82ef628ff57491a81b47ebeeded9d92a0d4c316c0a78c44dc64940202e613","observation_id":"8d5ecf1e-741d-44d6-bbe7-6e3a3d82580c","resolution":{"observed_at":"2026-05-22T01:24:31.428869Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"• The second limit evaluates to2 √ 2","venue":null,"work_id":"03537cf4-3675-46a8-9060-6761caa533af","year":null},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:19e0ba98fa5550f511df43f44831ed1553d866f1d1bcda5d43f79a795375e863","observation_id":"60166b37-a77b-4cdf-99b3-ad4c10b9b3e4","resolution":{"observed_at":"2026-05-22T01:24:31.414392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c13bafc4-b335-428d-b0cd-4e3ee24207f8","year":2048},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:7dcf1c7f3d0d1dbbef0cce93f410135e8a0510fd3df65334936d38791d314df8","observation_id":"95379e60-5d28-4b96-b31c-67cc9ab077bf","resolution":{"observed_at":"2026-05-22T01:24:31.437107Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c301f9d1-86e9-484d-96d6-52d92e768b6d","year":null},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:9ea7eee38f339019f5f132df9efc060e3075d6b61441f13aa7a46a3cfa228f49","observation_id":"bc32033e-d8ca-46b2-bd2d-4e140b910e80","resolution":{"observed_at":"2026-05-22T01:24:31.417099Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2baf1e16-f367-4e30-bec4-de69137053f9","year":2024},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:f89aedcbbcc752d1803ac498e986d162529082b77d87c084205b645db03f9803","observation_id":"4eb2e4d8-a00f-4908-a655-27b473b6d43a","resolution":{"observed_at":"2026-05-22T01:24:31.422035Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"This value is calculated as: 10 5 = 10! 5!5! = 252","venue":null,"work_id":"b0227b6b-9f2e-42f6-b23c-841ed9b24288","year":null},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:3c3a6e61663d77d875eb0d9fa5219985ef171e9371948aaef69544a2ea47bb92","observation_id":"b9d8ca54-d5dd-431a-89a6-390c8bc1864a","resolution":{"observed_at":"2026-05-22T01:24:31.419576Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1422f640-487e-4c7c-9024-2af368a359cb","year":null},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:5bca4e81693f1ef5d4ed14fbd28a6ea249378ffbdfa92f838646eb132496ef91","observation_id":"195649da-7415-4732-956d-3a9de15287d9","resolution":{"observed_at":"2026-05-22T01:24:31.409041Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Therefore, the probabilityPis: P= Number of favorable outcomes Total number of outcomes = 2 252 = 1 126 So the final answer is 1 126","venue":null,"work_id":"7e32cc07-bcf8-4a56-83c3-a4895805018f","year":null},"citing_paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-10T04:55:29.315134Z"},"links":{"citing_paper":"/paper/2604.18574"},"observation_digest":"sha256:045e03b4d1716ad5755955b2e5cbad7ecd018f2e3988f4dcee5b20f0a15e0d27","observation_id":"c0788a40-b661-46d0-8837-325dc884719e","resolution":{"observed_at":"2026-05-22T01:24:31.411715Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.18574","last_updated":"2026-04-20T17:57:49Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-02T19:02:42.933975Z","submitted_at":"2026-04-20T17:57:49Z","title":"When Can LLMs Learn to Reason with Weak Supervision?"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":1,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":13},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2604.18574."}