{"as_of":"2026-08-19T14:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7b8e208b2800ae9982bd526dfbd3fb13b8d2df0ae87540b09179880ef628ef06","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T16:22:41.584970Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-30T16:01:42.531389Z","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":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.06332","snapshot_observed_at":"2026-07-13T19:22:24.103426Z","title":"A fragile number sense: Probing the elemental limits of numerical reasoning in LLMs.arXiv preprint arXiv:2509.06332,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2603.23800","last_updated":"2026-07-07T21:17:20Z","snapshot_observed_at":"2026-08-14T10:58:49.429519Z","submitted_at":"2026-03-25T00:24:12Z","title":"Object Search in Partially-Known Environments via LLM-informed Model-based Planning and Prompt Selection","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-13T19:22:24.103426Z"},"links":{"cited_paper":"/paper/2509.06332","citing_paper":"/paper/2603.23800"},"observation_digest":"sha256:ee12af30fff3f436a28c21abaec9811f6de9ccea44898e7d79458dc44311331d","observation_id":"4af255ed-6ef1-4c51-9811-987fcdaf7d25","resolution":{"observed_at":"2026-07-13T19:22:24.103426Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.06332","snapshot_observed_at":"2026-07-30T16:01:42.531389Z","title":"A fragile number sense: Probing the elemental limits of numerical reasoning in llms","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26952","last_updated":"2026-07-29T14:20:13Z","snapshot_observed_at":"2026-08-13T17:49:24.624671Z","submitted_at":"2026-07-29T14:20:13Z","title":"Credit Cards, Confusion, Computation, and Consequences: What Can We Uncover About Language Model Reasoning?","version":1},"reference_index":176,"source":"arxiv_source","source_observed_at":"2026-07-30T16:01:42.531389Z"},"links":{"cited_paper":"/paper/2509.06332","citing_paper":"/paper/2607.26952"},"observation_digest":"sha256:c117ab9c98abab6f8f934672272b3b8c799655b382a830348862356a97bc4a1e","observation_id":"6353b01d-d2e3-4e3e-8c3e-c2b67654a0d5","resolution":{"observed_at":"2026-07-30T16:01:42.531389Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2509.06332/citation-record","integrity":"/paper/2509.06332/integrity","json":"/paper/2509.06332/citation-record.json","paper":"/paper/2509.06332"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2402.00157","last_updated":"2024-09-16T19:20:59Z","snapshot_observed_at":"2026-08-16T14:22:43.713388Z","submitted_at":"2024-01-31T20:26:32Z","title":"Large Language Models for Mathematical Reasoning: Progresses and Challenges","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.00157","snapshot_observed_at":"2026-08-15T16:22:41.482027Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.482027Z"},"links":{"cited_paper":"/paper/2402.00157","citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:38d8073fe23ed0373c4c779e2b0fbf807d5eea30504466df11aebc7e14f6e459","observation_id":"563c97b6-080c-472e-a92b-11d3b7c0df29","resolution":{"observed_at":"2026-08-15T16:22:41.482027Z","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":"2026-08-15T16:22:41.932580Z","title":"and Simon, H","venue":null,"work_id":"b7cb0375-4733-4b14-9889-3abf32ae084a","year":1979},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.486034Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:a6d4dea5594ae35a20eefbabcc720060eacb2fecd675a0ddcd5bd837693cd68a","observation_id":"e74c62e3-bb18-4e96-875c-96bd74f1202b","resolution":{"observed_at":"2026-08-15T16:22:41.935528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.05862","last_updated":"2022-04-12T15:02:38Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2022-04-12T15:02:38Z","title":"Training a Helpful and Harmless Assistant with Reinforcement Learning from Human Feedback","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.05862","snapshot_observed_at":"2026-08-15T16:22:41.489442Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.489442Z"},"links":{"cited_paper":"/paper/2204.05862","citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:6bd6e8a871d5fff6ec73902704e9520a67dc0e7336fcca3d801d4fe76ace5f7f","observation_id":"8eb0b304-0d51-40a0-8d7d-064f8b8ddd11","resolution":{"observed_at":"2026-08-15T16:22:41.489442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.14082","last_updated":"2024-08-23T23:02:28Z","snapshot_observed_at":"2026-07-06T18:03:38.397804Z","submitted_at":"2024-04-22T11:01:51Z","title":"Mechanistic Interpretability for AI Safety -- A Review","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.14082","snapshot_observed_at":"2026-08-15T16:22:41.492537Z","title":"and Gavves, E","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.492537Z"},"links":{"cited_paper":"/paper/2404.14082","citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:9db1216984bc120f8d3d475b5cb80c4e33ee5dd93a33a8043b5992856fc34ea7","observation_id":"3090bb3e-1248-40cd-9d5b-2f34cc36fac3","resolution":{"observed_at":"2026-08-15T16:22:41.492537Z","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":"2026-08-15T16:22:41.922876Z","title":null,"venue":null,"work_id":"83c519cd-51e4-4b05-aa3e-62ab8eec1052","year":2023},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.496235Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:d2c02ddd7c071c3b5528320d439110f6e679bacf3b0c24e9c10737881b6d27b7","observation_id":"9b36c995-d71f-495a-9c08-6d7fcad71dd6","resolution":{"observed_at":"2026-08-15T16:22:41.926189Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.01547","last_updated":"2019-11-25T13:02:04Z","snapshot_observed_at":"2026-08-17T05:38:14.090895Z","submitted_at":"2019-11-05T00:31:38Z","title":"On the Measure of Intelligence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.01547","snapshot_observed_at":"2026-08-15T16:22:41.499673Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.499673Z"},"links":{"cited_paper":"/paper/1911.01547","citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:e510ab813e429920c6a1077cae504b57150ea351366183c55acc6377fab6a98c","observation_id":"38a49469-74cf-44d0-87d1-8fa4b6788bc8","resolution":{"observed_at":"2026-08-15T16:22:41.499673Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.04604","last_updated":"2025-01-08T05:24:50Z","snapshot_observed_at":"2026-08-16T13:00:34.704005Z","submitted_at":"2024-12-05T20:40:28Z","title":"ARC Prize 2024: Technical Report","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.04604","snapshot_observed_at":"2026-08-15T16:22:41.503330Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.503330Z"},"links":{"cited_paper":"/paper/2412.04604","citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:3df4eb9de89824025dd7e9c0c73aa4cfe601fd9c9e256b248950f7c02e16b5e9","observation_id":"c8863455-ce9e-495e-955e-b7fc2cebcc82","resolution":{"observed_at":"2026-08-15T16:22:41.503330Z","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":"2026-08-15T16:22:41.912592Z","title":null,"venue":null,"work_id":"851d1555-b2ad-42f1-9f2a-3e340f176e14","year":1992},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.506605Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:a43f600dd0d687ef1c7f762eb6adc1c3bbe2897ce8c5ca2ee7793c1b58f3c33c","observation_id":"7285a411-e078-42ae-bb39-0f36d6f4defe","resolution":{"observed_at":"2026-08-15T16:22:41.915850Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.902822Z","title":null,"venue":null,"work_id":"88fce568-fc57-49be-b418-defb6a3b9f41","year":1996},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.509686Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:7d379cc42ed1c407a9fd2e64dfbededfe4a807072d28eed2c03a59216bbbaaaa","observation_id":"fb2bac42-7974-456f-86e1-7085076075b2","resolution":{"observed_at":"2026-08-15T16:22:41.905980Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.892844Z","title":null,"venue":null,"work_id":"1af42d1f-3449-4768-a6eb-ca7fcf5a8acd","year":2001},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.512610Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:8444322886b4636ef44fa2dde424111c9729db98bfb92eddd0593c0e207bb102","observation_id":"ea219bf8-1248-4379-b33e-c24f85b8dcac","resolution":{"observed_at":"2026-08-15T16:22:41.896341Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.04254","last_updated":"2024-02-23T15:09:58Z","snapshot_observed_at":"2026-08-18T09:11:06.148089Z","submitted_at":"2023-11-07T12:30:36Z","title":"Everything of Thoughts: Defying the Law of Penrose Triangle for Thought Generation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.04254","snapshot_observed_at":"2026-08-15T16:22:41.515501Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.515501Z"},"links":{"cited_paper":"/paper/2311.04254","citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:3dbaaf5666aab4072229e81b59c788079833d2b838872986066645424ff90728","observation_id":"d3520404-bc2b-4a04-bf99-14f2af93b42a","resolution":{"observed_at":"2026-08-15T16:22:41.515501Z","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":"2026-08-15T16:22:41.883618Z","title":null,"venue":null,"work_id":"47612206-17ff-46b7-8cee-f54686c10d25","year":1992},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.518619Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:2639a2faa2a218a89d5f76df1820ce2a5fa1089d8705fa263c7eb4773b62e41e","observation_id":"9774737f-4569-4d2d-b1d7-3a08c93e6d60","resolution":{"observed_at":"2026-08-15T16:22:41.886496Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.873709Z","title":null,"venue":null,"work_id":"eedb9a49-b7e6-4bca-af0c-4290e0d71ea4","year":2022},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.521577Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:f1896abab743b98fafa891543f1f6360c73798b10026d037a5e049ae60179f28","observation_id":"8d5f03f8-1ac6-45b1-b4e8-30e3cece22ea","resolution":{"observed_at":"2026-08-15T16:22:41.876991Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.863447Z","title":null,"venue":null,"work_id":"f7126cde-17b8-4160-8395-68bc17c556f5","year":2001},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.524463Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:d58306dc723da236ee1d648b8ab2534b64239cbcf41f4747538c79cf1f2c7649","observation_id":"87013ca2-c0fb-4a40-bfb3-6745040106d5","resolution":{"observed_at":"2026-08-15T16:22:41.866508Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.853725Z","title":null,"venue":null,"work_id":"b8fbf526-d4cd-4d58-88e2-9999ceb29f62","year":2020},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.527444Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:9d4894ef3e122e5cc6d9d26c716b0c59e46b277a43d39a6822df315d561c4ddc","observation_id":"1ad0c0d1-a33b-4c7f-8102-48fbc7679245","resolution":{"observed_at":"2026-08-15T16:22:41.856974Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.03874","last_updated":"2021-11-08T21:30:18Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2021-03-05T18:59:39Z","title":"Measuring Mathematical Problem Solving With the MATH Dataset","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.03874","snapshot_observed_at":"2026-08-15T16:22:41.530743Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.530743Z"},"links":{"cited_paper":"/paper/2103.03874","citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:1afdd2fb83c784110d6c4447e5715eaa11760761955b5d5ce8d7150bff0d33d7","observation_id":"e44a7fe1-78eb-4081-81a9-afbbdd7345d7","resolution":{"observed_at":"2026-08-15T16:22:41.530743Z","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":"2026-08-15T16:22:41.844185Z","title":"and Dehaene, S","venue":null,"work_id":"f1f6abb2-2f41-4416-9de7-edc98291e18e","year":1997},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.533729Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:061938a0d0107b059fdf80d356fa5956b27ca971172b16494a539f5a1a47acf3","observation_id":"beb82634-d9c4-47f4-9267-97888ed0eeec","resolution":{"observed_at":"2026-08-15T16:22:41.847499Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.835066Z","title":"and Griffiths, T","venue":null,"work_id":"9afea8e4-8eb1-4b18-9ef5-18f368375b04","year":2020},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.536531Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:b35d1089e5fa53c8c600c0e0f55f73039bff956dd94574767251299243b6b550","observation_id":"d6261b5a-5750-418a-85c9-7cf1ef50ec5a","resolution":{"observed_at":"2026-08-15T16:22:41.838084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2301.05217","last_updated":"2023-10-19T21:25:32Z","snapshot_observed_at":"2026-08-02T10:20:00.635719Z","submitted_at":"2023-01-12T18:56:49Z","title":"Progress measures for grokking via mechanistic interpretability","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.05217","snapshot_observed_at":"2026-08-15T16:22:41.539522Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.539522Z"},"links":{"cited_paper":"/paper/2301.05217","citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:272a25da336042b1d047985234670307d70a421dde7cb0f38fa8d4b6a3d035ab","observation_id":"c8016069-f2a4-47c3-89d5-4a0e97bf78b0","resolution":{"observed_at":"2026-08-15T16:22:41.539522Z","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":"2026-08-15T16:22:41.825828Z","title":"C., and Simon, H","venue":null,"work_id":"e101d092-339e-463b-9b08-019ac424cb59","year":1958},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.542484Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:9f167467f186a88d8adc37850e32dcd0ec37f891748e6a9ab53bbd8e101e3029","observation_id":"b87bf8c1-68c9-42bd-9022-9d8124608ab2","resolution":{"observed_at":"2026-08-15T16:22:41.828769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.545542Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.545542Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:87ae23bc331312d2824036d9c4d516f9fc085e22d68cd957ca3efc7a489169c8","observation_id":"9ccdf067-db23-442e-b276-307429e37547","resolution":{"observed_at":"2026-08-15T16:22:41.545542Z","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":"2026-08-15T16:22:41.809671Z","title":null,"venue":null,"work_id":"d19e12ba-1e2e-4ce7-895d-f3b206005dc7","year":1999},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.548246Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:8a3592a476b3157a2639c3020683f770cea777c8e1ed75fa81878bc534ed2f62","observation_id":"d6406e87-d520-461c-ba11-5be5cf068a58","resolution":{"observed_at":"2026-08-15T16:22:41.812686Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.06941","last_updated":"2025-11-20T00:19:24Z","snapshot_observed_at":"2026-08-09T21:19:24.140229Z","submitted_at":"2025-06-07T22:42:29Z","title":"The Illusion of Thinking: Understanding the Strengths and Limitations of Reasoning Models via the Lens of Problem Complexity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.06941","snapshot_observed_at":"2026-08-15T16:22:41.551144Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.551144Z"},"links":{"cited_paper":"/paper/2506.06941","citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:ca40a45da0cff007f54bf7a03d38183a277bdb399d4106754455da2de0225ef8","observation_id":"df8ed7fe-6cba-4832-b9ec-86b3e7662a33","resolution":{"observed_at":"2026-08-15T16:22:41.551144Z","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":"2026-08-15T16:22:41.800154Z","title":"and Siegler, R","venue":null,"work_id":"996a3092-7539-4e15-94ed-9f25daba647a","year":1998},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.554184Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:f659e0d5207f3c5dd061c9d8a647d37b409bfb2825bbd4ff07e5d2fdd676058c","observation_id":"389ed7e6-66a8-471e-9240-ee5633a1846b","resolution":{"observed_at":"2026-08-15T16:22:41.803281Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.789857Z","title":null,"venue":null,"work_id":"a999b2f8-da22-477f-bfa3-8b814a0f2753","year":1987},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.557015Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:e7c2ae63e27b549a8c6ffc9eddc732440a2dc3ba74ced8b151e67f8f9cae99ad","observation_id":"b368d931-9ca8-4944-b19a-d6cc64649932","resolution":{"observed_at":"2026-08-15T16:22:41.793068Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.779541Z","title":null,"venue":null,"work_id":"9b3ee288-7baf-4ce8-8593-1b49232f3b01","year":1984},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.559789Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:53851dccb1c0b87b41b801d8e9761535ee0e7bf7e04e30519824e8ba123a7cf6","observation_id":"12e6ba36-bf4f-42ac-a08a-6d0c63ecaa24","resolution":{"observed_at":"2026-08-15T16:22:41.782891Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.769067Z","title":null,"venue":null,"work_id":"c809adc2-9010-4a3b-958f-4b132550fb16","year":1955},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.562472Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:b2e2ccbb728f31a8e90bec136060bb3cfa099026d64a5e489a6086d99258a778","observation_id":"4c23943c-de29-4054-84ee-9518190c9c71","resolution":{"observed_at":"2026-08-15T16:22:41.772305Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.758963Z","title":null,"venue":null,"work_id":"e3745b5c-c218-4b2c-9436-a645296e9534","year":1971},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.565028Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:08d5f231ee838cd4e7380b4562c2bea3585c5afef54320f4dc6375cd74cc6453","observation_id":"46086144-0bce-41e8-b02b-c7c267f00bf7","resolution":{"observed_at":"2026-08-15T16:22:41.762151Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.749588Z","title":null,"venue":null,"work_id":"1d3a7944-6ea3-4ff6-94a5-fed991e2784c","year":1976},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.567843Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:28e43a53912612dce4a77b376e263de52d75156ea92b549aab3b9fd2bbc9aa87","observation_id":"cb622767-ab98-4efc-a2ad-746e183dbfd2","resolution":{"observed_at":"2026-08-15T16:22:41.752574Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.739720Z","title":null,"venue":null,"work_id":"1066f546-5467-4565-9a99-302a4e321e50","year":2023},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.570400Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:266b6e67e8c9b2431143b17c79f8ffcee5709acb3cd1d7ef7809303b044a94cf","observation_id":"8d021206-441b-4b2e-8f89-2d311c5fe343","resolution":{"observed_at":"2026-08-15T16:22:41.742960Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:22:41.730267Z","title":null,"venue":null,"work_id":"a4bd77a3-769d-434d-a881-bf02f7fdb26a","year":2017},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.573180Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:eab7152f32d8216ff99622a1caeab981c265ff32b3acd500c6f34eb0f3c25cf1","observation_id":"250fc1a3-a752-4b9b-8808-0802ccf7be5a","resolution":{"observed_at":"2026-08-15T16:22:41.733150Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.00593","last_updated":"2022-11-01T17:08:44Z","snapshot_observed_at":"2026-08-05T06:04:21.031867Z","submitted_at":"2022-11-01T17:08:44Z","title":"Interpretability in the Wild: a Circuit for Indirect Object Identification in GPT-2 small","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.00593","snapshot_observed_at":"2026-08-15T16:22:41.576055Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.576055Z"},"links":{"cited_paper":"/paper/2211.00593","citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:2d43eacc4fed1fb6abc027795dfc9d69dfb31ebbb4ab1782163beadd1c59aed6","observation_id":"97d2622e-c844-40a6-a40e-5f840832052a","resolution":{"observed_at":"2026-08-15T16:22:41.576055Z","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":"2026-08-15T16:22:41.579322Z","title":"V., Zhou, D., et al","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.579322Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:dfce48acbb07a618add294b7001f8937b3ded302436b0f6c05a471ce55bea5ef","observation_id":"7364c189-375c-44c1-a039-6cccae936fa6","resolution":{"observed_at":"2026-08-15T16:22:41.579322Z","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":"2026-08-15T16:22:41.713389Z","title":null,"venue":null,"work_id":"5af51733-ee68-4b5c-ab25-583bff9c7e52","year":2023},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.582200Z"},"links":{"citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:a65b85c1ab57f0d49b346a5b8988bfc4149a42ce9664eaedcf32f916f893650c","observation_id":"eba810a2-2146-43e5-9775-5221f2e21d73","resolution":{"observed_at":"2026-08-15T16:22:41.717510Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00110","last_updated":"2022-02-28T06:03:23Z","snapshot_observed_at":"2026-08-16T23:45:44.761660Z","submitted_at":"2021-08-31T23:21:12Z","title":"MiniF2F: a cross-system benchmark for formal Olympiad-level mathematics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.00110","snapshot_observed_at":"2026-08-15T16:22:41.584970Z","title":"M., and Polu, S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:41.584970Z"},"links":{"cited_paper":"/paper/2109.00110","citing_paper":"/paper/2509.06332"},"observation_digest":"sha256:4cc8aab650fdefe247d33e2daeb760ed74f60295627cafa417ae572e0f44c6cc","observation_id":"9783d078-f714-493c-8d1c-dc6e8bfe2551","resolution":{"observed_at":"2026-08-15T16:22:41.584970Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.06332","last_updated":"2025-09-08T04:31:12Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-17T00:20:32.823043Z","submitted_at":"2025-09-08T04:31:12Z","title":"A Fragile Number Sense: Probing the Elemental Limits of Numerical Reasoning in LLMs"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":30,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":35},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 2 inbound Pith citation observations for arXiv:2509.06332."}