{"as_of":"2026-08-16T06:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6489d7a38c62d506a51fabdd476733279ae300f5c335255d02ce6af620d822e0","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":30,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T00:53:51.243936Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T21:28:58.031749Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2108.12409","last_updated":"2022-04-22T18:20:48Z","snapshot_observed_at":"2026-08-07T11:26:24.970964Z","submitted_at":"2021-08-27T17:35:06Z","title":"Train Short, Test Long: Attention with Linear Biases Enables Input Length Extrapolation","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-05-13T01:01:23.245202Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2108.12409"},"observation_digest":"sha256:000a15e7d807d1eab923c9a85e436af5194e1ddcae06c88aea4a6fc9d4b8cdde","observation_id":"06f6e2d3-9e57-4c11-aede-d180ddc16cde","resolution":{"observed_at":"2026-05-13T01:01:23.334749Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2211.10435","last_updated":"2023-01-27T15:30:27Z","snapshot_observed_at":"2026-08-12T07:50:34.802331Z","submitted_at":"2022-11-18T18:56:13Z","title":"PAL: Program-aided Language Models","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-05-15T05:02:50.117120Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2211.10435"},"observation_digest":"sha256:1eeda51f60f597aebbd81b08795d30348bf1bd9278c9ccf52a67036bb67a1df2","observation_id":"e6a5448f-639c-442f-b41b-8eb67a48ee5f","resolution":{"observed_at":"2026-05-15T05:02:50.324082Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2402.17762","last_updated":"2024-08-14T16:00:49Z","snapshot_observed_at":"2026-08-16T00:18:10.564651Z","submitted_at":"2024-02-27T18:55:17Z","title":"Massive Activations in Large Language Models","version":2},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-05-16T07:02:53.740597Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2402.17762"},"observation_digest":"sha256:82335d46a8b099db645471f09f1221bce0605de6f84823acaabd955149c5c328","observation_id":"efcc52a1-63a1-4fb6-8cf7-19a34046c046","resolution":{"observed_at":"2026-05-16T07:02:53.903787Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-11T11:45:54.457024Z","title":"Preprint, arXiv:2102.13019","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15210","last_updated":"2024-12-19T18:59:46Z","snapshot_observed_at":"2026-08-11T16:11:24.480400Z","submitted_at":"2024-12-19T18:59:46Z","title":"Tokenisation is NP-Complete","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-11T11:45:54.457024Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2412.15210"},"observation_digest":"sha256:f09d4f7b8b74117fffa1921e5d1b7ed0907bf95841e9dfc64953293e8d00ce1f","observation_id":"d753182a-b4ac-4f04-b5f4-d34d7daa84ac","resolution":{"observed_at":"2026-08-11T11:45:54.457024Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-10T15:25:07.277129Z","title":"Inves- tigating the limitations of transformers with simple arith- metic tasks","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.14170","last_updated":"2025-01-24T01:38:37Z","snapshot_observed_at":"2026-08-15T05:15:59.334529Z","submitted_at":"2025-01-24T01:38:37Z","title":"Argos: Agentic Time-Series Anomaly Detection with Autonomous Rule Generation via Large Language Models","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T15:25:07.277129Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2501.14170"},"observation_digest":"sha256:3598d7724cdcd5a6b8fe50dcc2e26ca06b2b2c5bb182fa77b9bd01d34d008ab6","observation_id":"077de084-1619-4ae7-8452-503e6f96fe03","resolution":{"observed_at":"2026-08-10T15:25:07.277129Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-09T20:34:01.586400Z","title":"Investigating the limitations of the transformers with simple arithmetic tasks","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.19383","last_updated":"2025-08-12T03:41:13Z","snapshot_observed_at":"2026-08-13T21:10:20.227055Z","submitted_at":"2025-01-31T18:37:42Z","title":"Decoding-based Regression","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-09T20:34:01.586400Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2501.19383"},"observation_digest":"sha256:f62e870b9e4a40132c4acf36991b3aa76301718fdeb095f1463a3d9b5a0730eb","observation_id":"d2ea38c5-57e7-4f4e-92c5-b74c5eee311f","resolution":{"observed_at":"2026-08-09T20:34:01.586400Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-09T19:58:58.934021Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.00197","last_updated":"2025-06-19T02:03:39Z","snapshot_observed_at":"2026-08-14T02:50:54.141936Z","submitted_at":"2025-01-31T22:27:09Z","title":"Learning Model Successors","version":2},"reference_index":119,"source":"pdf_text","source_observed_at":"2026-08-09T19:58:58.934021Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2502.00197"},"observation_digest":"sha256:1051d6707226ff8be5b5b910c429e108c298a75c8e7d3aac5ff834aea98cd80e","observation_id":"a45d7ff6-db78-4594-9319-49b2084fb564","resolution":{"observed_at":"2026-08-09T19:58:58.934021Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2502.09741","last_updated":"2026-04-21T01:47:04Z","snapshot_observed_at":"2026-08-13T02:46:58.403380Z","submitted_at":"2025-02-13T19:54:59Z","title":"FoNE: Precise Single-Token Number Embeddings via Fourier Features","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-23T03:07:37.363965Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2502.09741"},"observation_digest":"sha256:bb5c9abf1d2f92d45371d48acabb3bdf69d35c1c6d2dee081d564932a3cf30b7","observation_id":"6a6dfbe8-7179-461e-8070-840d5ff2936a","resolution":{"observed_at":"2026-05-23T03:12:28.762815Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2502.12717","last_updated":"2025-09-18T04:41:36Z","snapshot_observed_at":"2026-07-06T20:38:29.607020Z","submitted_at":"2025-02-18T10:28:25Z","title":"Learning the symmetric group: large from small","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-23T02:48:03.020220Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2502.12717"},"observation_digest":"sha256:1be574c19c512552f4ed0b8746b931842c75a796b77bdd82496452bbf7c5a726","observation_id":"2ee572b6-2ca8-4352-a0da-68330e161b5f","resolution":{"observed_at":"2026-05-23T02:52:26.946627Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-16T00:53:51.243936Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks , April 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.02576","last_updated":"2025-05-05T11:24:20Z","snapshot_observed_at":"2026-08-16T00:45:09.087494Z","submitted_at":"2025-05-05T11:24:20Z","title":"Recursive Decomposition with Dependencies for Generic Divide-and-Conquer Reasoning","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-16T00:53:51.243936Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2505.02576"},"observation_digest":"sha256:d75ea7ed8438bb4c4e113eb67ee0d766d8eea0ce6562f4ba1c25bf1f12676b55","observation_id":"86ef0425-3bea-4f50-9b50-b2492147bd11","resolution":{"observed_at":"2026-08-16T00:53:51.243936Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-07T11:57:22.784025Z","title":"Investigating the limitations of transformers with simple arithmetic tasks.arXiv preprint arXiv:2102.13019, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.01115","last_updated":"2025-09-03T19:18:47Z","snapshot_observed_at":"2026-08-08T11:54:01.449606Z","submitted_at":"2025-06-01T18:42:39Z","title":"Is Random Attention Sufficient for Sequence Modeling? Disentangling Trainable Components in the Transformer","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:22.784025Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2506.01115"},"observation_digest":"sha256:c1a89e323d69a67d8284ea07284cda50d261bc903b9e42e08cf79b011ed71873","observation_id":"dbacfc98-69da-4b05-ac89-594e5b700859","resolution":{"observed_at":"2026-08-07T11:57:22.784025Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-07T11:16:49.682246Z","title":"Nye, M., Andreassen, A","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2506.03085","last_updated":"2025-06-06T07:47:10Z","snapshot_observed_at":"2026-08-14T09:35:59.701648Z","submitted_at":"2025-06-03T17:09:34Z","title":"Non-Asymptotic Length Generalization","version":2},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-07T11:16:49.682246Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2506.03085"},"observation_digest":"sha256:9787bc928ed1265af53509dda6b04b3063796d79fdec4254e240fa205bb41c81","observation_id":"65efd611-76cd-4376-9fbd-0125e9f514c9","resolution":{"observed_at":"2026-08-07T11:16:49.682246Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-07T04:10:20.273388Z","title":"Investigating the limita- tions of transformers with simple arithmetic tasks.arXiv preprint arXiv:2102.13019,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.11769","last_updated":"2025-06-13T13:25:39Z","snapshot_observed_at":"2026-08-13T17:32:46.834744Z","submitted_at":"2025-06-13T13:25:39Z","title":"Long-Short Alignment for Effective Long-Context Modeling in LLMs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T04:10:20.273388Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2506.11769"},"observation_digest":"sha256:63680b94857ecbd3b24355b38b417044e8fa123ccebf0c1e09729ad0a7acaa36","observation_id":"e184c060-fab9-4353-b0bb-4d832a715958","resolution":{"observed_at":"2026-08-07T04:10:20.273388Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-06T17:39:29.985556Z","title":", author Jiang, Z","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.10678","last_updated":"2025-07-16T01:31:30Z","snapshot_observed_at":"2026-08-15T00:17:13.349972Z","submitted_at":"2025-07-14T18:01:38Z","title":"A Group Theoretic Analysis of the Symmetries Underlying Base Addition and Their Learnability by Neural Networks","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T17:39:29.985556Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2507.10678"},"observation_digest":"sha256:2a8dd1681073c3e8add6c17754e852d57ad5069a46de8462185f8018bae3106a","observation_id":"d4881de8-4fb8-4475-a557-2b411070490d","resolution":{"observed_at":"2026-08-06T17:39:29.985556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-05T23:01:47.429327Z","title":"Investigating the limitations of transformers with simple arithmetic tasks.arXiv:2102.13019, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.06014","last_updated":"2025-08-08T05:01:17Z","snapshot_observed_at":"2026-08-15T18:00:58.571548Z","submitted_at":"2025-08-08T05:01:17Z","title":"ExploreGS: Explorable 3D Scene Reconstruction with Virtual Camera Samplings and Diffusion Priors","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-05T23:01:47.429327Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2508.06014"},"observation_digest":"sha256:a162a01d63d96b7895915ea32449a3e971d9afaf4408ef30e0ae9591458757a9","observation_id":"414eea87-ec99-42cd-9efc-ef0ec1564d80","resolution":{"observed_at":"2026-08-05T23:01:47.429327Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2510.06824","last_updated":"2026-05-20T14:19:31Z","snapshot_observed_at":"2026-08-14T20:18:54.048286Z","submitted_at":"2025-10-08T09:48:11Z","title":"Efficient numeracy in language models through single-token number embeddings","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-21T21:09:02.731348Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2510.06824"},"observation_digest":"sha256:a4bdcab8e294cea168ce33f056d779234bdcb69028957790426cbf7e58cbca4a","observation_id":"305636a6-342d-4b3f-a5fa-b8d7909f11a3","resolution":{"observed_at":"2026-05-21T21:10:38.580437Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2510.18196","last_updated":"2026-04-08T07:01:03Z","snapshot_observed_at":"2026-07-06T22:33:39.148066Z","submitted_at":"2025-10-21T00:47:11Z","title":"Contrastive Decoding Mitigates Score Range Bias in LLM-as-a-Judge","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-18T05:38:31.226594Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2510.18196"},"observation_digest":"sha256:5789487934f0f7a221548726ff3f9440376922ed3e2468058848c188e580db02","observation_id":"01861496-5766-42c5-92f7-e11143d9c358","resolution":{"observed_at":"2026-05-18T05:40:55.907792Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-03T08:58:50.555374Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.15251","last_updated":"2026-06-28T17:05:49Z","snapshot_observed_at":"2026-08-14T13:24:00.714774Z","submitted_at":"2026-01-21T18:33:15Z","title":"The Effect of Scripts and Formats on LLM Numeracy","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-03T08:58:50.555374Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2601.15251"},"observation_digest":"sha256:32c0337e4be61c5e0302d949077d8ac7f74ec0e5966128812a8e95c1b20d3d14","observation_id":"510f681f-18de-436c-8104-e6d1c3a838af","resolution":{"observed_at":"2026-08-03T08:58:50.555374Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-03T06:26:57.317388Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2601.23207","last_updated":"2026-06-05T15:55:12Z","snapshot_observed_at":"2026-08-12T21:37:05.239930Z","submitted_at":"2026-01-30T17:31:26Z","title":"Learning to Execute Graph Algorithms Exactly with Graph Neural Networks","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-03T06:26:57.317388Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2601.23207"},"observation_digest":"sha256:4907bdc6382e08c6dd3a87de03fdf6c4481bb71c81242e6ab39481b4afcd6507","observation_id":"16baa333-0fb4-49a6-a005-7ddadc7370bf","resolution":{"observed_at":"2026-08-03T06:26:57.317388Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-02T23:51:27.559070Z","title":"Nogueira, R., Jiang, Z., and Lin, J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.02238","last_updated":"2026-05-31T03:56:12Z","snapshot_observed_at":"2026-08-07T21:25:24.377587Z","submitted_at":"2026-02-13T14:49:27Z","title":"Length Generalization Bounds for Transformers","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T23:51:27.559070Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2603.02238"},"observation_digest":"sha256:c64e82dc17847063a3b919f68e2e281bc3272ff839773fbb40fb97a9e689b1a1","observation_id":"453ff8be-7ff0-48aa-927e-d6db72d3096a","resolution":{"observed_at":"2026-08-02T23:51:27.559070Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2604.11101","last_updated":"2026-05-11T04:57:23Z","snapshot_observed_at":"2026-08-15T03:04:43.352924Z","submitted_at":"2026-04-13T07:18:49Z","title":"Generating Hadamard matrices with transformers","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T15:26:59.622262Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2604.11101"},"observation_digest":"sha256:2629488bd3ab99f5153a2beb41835b2027e61f6ec7fea04ce79bfc6174b02e52","observation_id":"450cacae-757e-4d95-8a5b-10196d676113","resolution":{"observed_at":"2026-05-11T10:31:03.720058Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2604.11101","last_updated":"2026-05-11T04:57:23Z","snapshot_observed_at":"2026-08-15T03:04:43.352924Z","submitted_at":"2026-04-13T07:18:49Z","title":"Generating Hadamard matrices with transformers","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-12T04:23:35.347930Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2604.11101"},"observation_digest":"sha256:400a8198d2f2baf8ec188863b3a72c5b20c3b5f31f7862236845a9b2e96e86a7","observation_id":"fcd116ab-76ab-49c8-aa71-31febe0dae4f","resolution":{"observed_at":"2026-05-12T06:21:24.721151Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2604.13082","last_updated":"2026-06-17T04:09:14Z","snapshot_observed_at":"2026-08-13T18:19:11.174750Z","submitted_at":"2026-03-30T22:20:38Z","title":"The Long Delay to Arithmetic Generalization: When Learned Representations Outrun Behavior","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-14T21:16:40.430384Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2604.13082"},"observation_digest":"sha256:7b6dc8ad8c79b5baf343b31589c8abb81cc8a80d33bdce4845d49251dce38c54","observation_id":"7347aea6-78de-43ad-9850-8d72ce919313","resolution":{"observed_at":"2026-05-14T21:17:58.826798Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2604.13242","last_updated":"2026-04-18T17:26:42Z","snapshot_observed_at":"2026-08-15T21:35:28.131071Z","submitted_at":"2026-04-14T19:19:59Z","title":"On the Creativity of AI Agents","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-05-10T13:40:21.509278Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2604.13242"},"observation_digest":"sha256:76a46b92f4c4d47d9b0a0db34a4c4832180ccc6651bed1fbc03ac1da0773dc0c","observation_id":"a0268ea3-3c42-4d19-80df-90115d22e4e3","resolution":{"observed_at":"2026-05-10T13:40:26.404699Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2605.16675","last_updated":"2026-05-15T22:30:57Z","snapshot_observed_at":"2026-08-13T08:28:49.029036Z","submitted_at":"2026-05-15T22:30:57Z","title":"LinAlg-Bench: A Forensic Benchmark Revealing Structural Failure Modes in LLM Mathematical Reasoning","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-05-20T17:45:55.121362Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2605.16675"},"observation_digest":"sha256:202a4912864fb1c18b234621c92857edd1656a40e1e9862d807bdf6c4088475b","observation_id":"b3ee2466-1e04-4f64-9593-62267f290722","resolution":{"observed_at":"2026-05-20T17:48:48.799126Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-12T19:34:03.845958Z","title":"Jiang, and J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.23920","last_updated":"2026-04-17T08:57:47Z","snapshot_observed_at":"2026-08-09T16:52:31.434174Z","submitted_at":"2026-04-17T08:57:47Z","title":"Artificial Effort","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-07-12T19:34:03.845958Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2605.23920"},"observation_digest":"sha256:ac98b10deb82539cc8b2c2e7a467583a87bb80051ea23ace787a963f9ddf8411","observation_id":"d81f9e67-65a2-4be9-92f9-955bbf34b8a9","resolution":{"observed_at":"2026-07-12T19:34:03.845958Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2606.02384","last_updated":"2026-06-01T15:33:43Z","snapshot_observed_at":"2026-08-14T16:09:11.374807Z","submitted_at":"2026-06-01T15:33:43Z","title":"TabPrep: Closing the Feature Engineering Gap in Tabular Benchmarks","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-06-28T15:43:46.621365Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2606.02384"},"observation_digest":"sha256:435bf43610518c59a7731aa30929ccde13edd2e57e71bc772a3564b805204e41","observation_id":"b4ce9ecc-92ae-4d25-9942-2a614677658c","resolution":{"observed_at":"2026-07-01T22:06:16.813182Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":"2102.13019","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-07-03T21:28:58.031749Z","title":"Investigating the limitations of transformers with simple arithmetic tasks","venue":null,"work_id":"39cc5a0c-b5b9-4767-8c63-504421c8523a","year":2021},"citing_paper":{"arxiv_id":"2607.01391","last_updated":"2026-07-01T18:49:41Z","snapshot_observed_at":"2026-08-12T17:34:15.599505Z","submitted_at":"2026-07-01T18:49:41Z","title":"How Should Transformers Encode Numeric Values in Electronic Health Records?","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-07-03T21:26:26.763158Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2607.01391"},"observation_digest":"sha256:8a98c87f91623a5b5daa0d72122d8729d9471d56919a8d66c276b17ff8f33b38","observation_id":"4d1ee39b-4ad8-45da-af49-5ad3773e2f0a","resolution":{"observed_at":"2026-07-03T21:28:58.033798Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-01T21:26:21.803491Z","title":"Investigating the limitations of transformers with simple arithmetic tasks,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.16088","last_updated":"2026-07-21T19:19:37Z","snapshot_observed_at":"2026-08-12T21:32:19.801818Z","submitted_at":"2026-07-17T16:18:40Z","title":"Variable-length Gray codes for the Natural Numbers","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T21:26:21.803491Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2607.16088"},"observation_digest":"sha256:f10eaefa3b21d859f30e45321d4f96e6c235ee32e6cd89f64392580e185f7b24","observation_id":"42e7eeb6-4f5c-4896-bd6e-c67c530b70b1","resolution":{"observed_at":"2026-08-01T21:26:21.803491Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.13019","snapshot_observed_at":"2026-08-15T16:17:47.732766Z","title":"Investigating the limitations of transformers with simple arithmetic tasks.arXiv preprint arXiv:2102.13019,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.13129","last_updated":"2026-08-13T12:01:58Z","snapshot_observed_at":"2026-08-16T06:11:37.080670Z","submitted_at":"2026-08-13T12:01:58Z","title":"Numeracy in Large Language Models: Fundamental Limitations and Paths to Improvement","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T16:17:47.732766Z"},"links":{"cited_paper":"/paper/2102.13019","citing_paper":"/paper/2608.13129"},"observation_digest":"sha256:408890a65b8de6df2cadd1099129bf84b88fd416155b8873559ab0dc0ce1d3ba","observation_id":"c2972dbe-339a-4972-b7a5-f4677ee152aa","resolution":{"observed_at":"2026-08-15T16:17:47.732766Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2102.13019/citation-record","integrity":"/paper/2102.13019/integrity","json":"/paper/2102.13019/citation-record.json","paper":"/paper/2102.13019"},"outbound":[],"paper":{"arxiv_id":"2102.13019","last_updated":"2021-04-12T19:58:27Z","latest_version":3,"primary_category":"cs.CL","snapshot_observed_at":"2026-08-12T04:51:09.122205Z","submitted_at":"2021-02-25T17:22:53Z","title":"Investigating the Limitations of Transformers with Simple Arithmetic Tasks"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 30 inbound Pith citation observations for arXiv:2102.13019."}