{"as_of":"2026-08-08T08:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1c49e9458af7edb9b588e5965391fb24dc19f37e6c4d2d0d9d6c585228b9b713","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:42:30.992566Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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":"2026-08-03T20:57:34.809865Z","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":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.14178","snapshot_observed_at":"2026-08-03T20:57:34.809865Z","title":"Tokenization constraints in llms: A study of sym- bolic and arithmetic reasoning limits.arXiv preprint arXiv:2505.14178, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.17731","last_updated":"2026-06-30T21:37:31Z","snapshot_observed_at":"2026-08-03T20:57:27.147869Z","submitted_at":"2025-11-21T19:30:24Z","title":"VisReason: A Large-Scale Dataset for Visual Chain-of-Thought Reasoning","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-03T20:57:34.809865Z"},"links":{"cited_paper":"/paper/2505.14178","citing_paper":"/paper/2511.17731"},"observation_digest":"sha256:fcdbba4090ab40687f729d5413694262811171c62a6223f1a0ad7bc699332341","observation_id":"5a23bd02-de57-4bad-8d6a-0955155e1b6b","resolution":{"observed_at":"2026-08-03T20:57:34.809865Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.14178","snapshot_observed_at":"2026-08-03T08:58:51.627099Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.15251","last_updated":"2026-06-28T17:05:49Z","snapshot_observed_at":"2026-08-08T08:20:09.777596Z","submitted_at":"2026-01-21T18:33:15Z","title":"The Effect of Scripts and Formats on LLM Numeracy","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-03T08:58:51.627099Z"},"links":{"cited_paper":"/paper/2505.14178","citing_paper":"/paper/2601.15251"},"observation_digest":"sha256:36dbc5007fc4d1967c115d59106bf882ed3db683a76d729c99667d26225a8f6e","observation_id":"844f0711-4dbc-48fc-901b-c256293197f7","resolution":{"observed_at":"2026-08-03T08:58:51.627099Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2505.14178/citation-record","integrity":"/paper/2505.14178/integrity","json":"/paper/2505.14178/citation-record.json","paper":"/paper/2505.14178"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:42:34.259838Z","title":null,"venue":null,"work_id":"b5673019-c653-4fb9-990b-06cae423af42","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:28.688870Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:37d29cb45928a01bc9ccb57cc2f0fcc663c4c52e306f497272f048e658972ab5","observation_id":"0fd2d769-f78b-402d-a542-c744e32ca5bd","resolution":{"observed_at":"2026-08-07T15:42:34.329097Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:34.089269Z","title":null,"venue":null,"work_id":"a181e0f9-8591-40af-aafa-17b5faf9c8aa","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:28.863698Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:36befff4081683e4f67b43da2bfafb1ca33cfb7d6b7f1fd43e69a1ec8af5b0bd","observation_id":"4599ca91-fec4-476c-b833-bd6250bbdbec","resolution":{"observed_at":"2026-08-07T15:42:34.165446Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:33.899113Z","title":"a” , “b” , “b","venue":null,"work_id":"128e7d25-c74c-4d94-ba80-18403a03763c","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:28.983178Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:a755e363b59472c28aeea214300a94b2f8537100347b0657b929b231e87a273f","observation_id":"d7c2356c-6246-422d-9a59-72be59ec06a5","resolution":{"observed_at":"2026-08-07T15:42:33.999514Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:31.732217Z","title":null,"venue":null,"work_id":"b5473d64-35e3-4e2f-8c10-072a89e3a72e","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:30.405148Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:c929eeb310924b2b63c22dea602b64f1b35904804bba02c2afeaf2fd1c342a69","observation_id":"e6476d0a-d3e3-4db7-b452-da293604d5b7","resolution":{"observed_at":"2026-08-07T15:42:31.993750Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:33.747130Z","title":null,"venue":null,"work_id":"9a764f1b-4d87-4b59-9059-4d5022cb85bc","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:29.181498Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:97846dd14897413b24237b4b4d62c86c6079ec1cdc34cfb9dc1a4eb3cd55a977","observation_id":"a97b606c-5bb6-464e-ae8f-f944cae39813","resolution":{"observed_at":"2026-08-07T15:42:33.811086Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:33.550124Z","title":null,"venue":null,"work_id":"a66719b6-6b13-400e-a80c-fa87b4cce5d2","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:29.365337Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:c04f6772fc7274ccf052bb6a17f94357bf34e61e885f7e35ecb9c2e2af3fb042","observation_id":"ce5ba346-b7b0-41e6-905a-9bcdb6f63868","resolution":{"observed_at":"2026-08-07T15:42:33.625547Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:33.357291Z","title":"Return the reversed string in a dictionary format with the key ‘Result’","venue":null,"work_id":"1d39eae9-d89d-4c74-9ed5-1cf73fb02b28","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:29.491456Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:1f93163572d08fb878e2dd12535467efd36d88c512c24c7fb1df6ae1ffb419ad","observation_id":"8a916dfa-2d24-48f0-bae0-59bc5255c32a","resolution":{"observed_at":"2026-08-07T15:42:33.452087Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:33.196064Z","title":null,"venue":null,"work_id":"f46f7962-d221-43ac-9c95-dc9eb313f703","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:29.595694Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:f6908f197c3feb5ffb130e4c7571796ee8154a7368c604a891840837dd92f2ba","observation_id":"1833ae76-c53a-452e-a637-4d8a72a5c3ff","resolution":{"observed_at":"2026-08-07T15:42:33.281578Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:33.008738Z","title":"• Display both the original string (showing characters remaining) and sorted list after each step","venue":null,"work_id":"86b4e2c9-0363-4fa6-b759-857f0445f647","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:29.746789Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:c895a3cc922c28839ca3c0f5c97e03a3312888087d0b4dd5629afaadc7764eb5","observation_id":"4d1baf38-30b9-49b6-98e9-7f2aba231b08","resolution":{"observed_at":"2026-08-07T15:42:33.096786Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:32.856611Z","title":"[‘2’, ‘C’, ‘s’, ‘U’, ‘4’, ‘b’, ‘S’, ‘c’]","venue":null,"work_id":"1b8b4e37-086c-4cbe-8ec9-1410e46d6f71","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:29.873316Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:6a2599b911020cd4a17ffe62fec25c2fdc338f05acd5ff01387db54b5c34b22f","observation_id":"deb91901-2131-47df-a905-2d878955e327","resolution":{"observed_at":"2026-08-07T15:42:32.945155Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:32.709792Z","title":null,"venue":null,"work_id":"4b31c763-266b-47a6-8965-e0426180ee4e","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:29.988698Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:cbb2b5eb6a89b8a81aa73876e67a0b7fab147694df710ecca0d91bfd077342ff","observation_id":"0bdd95e1-3c24-487d-8c8c-181e45b8b636","resolution":{"observed_at":"2026-08-07T15:42:32.770577Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:32.139850Z","title":null,"venue":null,"work_id":"e5c3d501-994f-4b01-8fe5-6ee93378683f","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:30.235118Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:6be9a87dc0fb5638fd5bec800411d81a879c1b85017faab2e74507f86a6eb9a4","observation_id":"d6a46889-2e36-49e5-a28c-498b497d3253","resolution":{"observed_at":"2026-08-07T15:42:32.346146Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:32.459167Z","title":null,"venue":null,"work_id":"8dcf353f-37e5-4f84-b2a4-832acc7cd700","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:30.576443Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:4844b953e17588ab80b0389d328f1602457ca9a27e1e316fdf1db2cf51d75015","observation_id":"9951f03c-776a-4859-8a00-1eac9333f226","resolution":{"observed_at":"2026-08-07T15:42:32.596771Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:31.407887Z","title":"- Index 0: The element is ‘a’","venue":null,"work_id":"c6859062-0a45-4815-bfc0-ffe73849507c","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:30.761834Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:1c5b36b3e9ef67822f4d8b3d4e7484eeb7c6fed486aefa16c5b28535343b1a38","observation_id":"0d5054d6-b0bc-49c2-a0d4-2b0d59c4bdd8","resolution":{"observed_at":"2026-08-07T15:42:31.554965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:42:31.153330Z","title":"Result: 13 Correct Answer: 13 Table 22: Case Study 10 - Correct Prediction with GPT-4o mini (CoT prompt)","venue":null,"work_id":"e8627684-c3a1-4362-b7bf-b4b4804a8eae","year":null},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:30.992566Z"},"links":{"citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:4f12cb1b0d13532a558c527ea8cf1ca29e82a606973e2380d71bcc3d3cf22ec9","observation_id":"68b6f79e-f1ea-4815-a292-33528bda2dc8","resolution":{"observed_at":"2026-08-07T15:42:31.228216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02098","last_updated":"2023-02-28T13:22:17Z","snapshot_observed_at":"2026-07-06T13:28:01.742166Z","submitted_at":"2022-07-05T15:06:11Z","title":"Neural Networks and the Chomsky Hierarchy","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.02098","snapshot_observed_at":"2026-08-07T15:42:28.200668Z","title":"arXiv preprint arXiv:2207.02098","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:28.200668Z"},"links":{"cited_paper":"/paper/2207.02098","citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:70230fbe6b14fe681ce67ad35da1680038e2d432e0b686e580436b674f162e1d","observation_id":"2ae0fda0-8c58-48b0-9b04-203c46098115","resolution":{"observed_at":"2026-08-07T15:42:28.200668Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.13048","last_updated":"2023-12-11T03:58:56Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-05-22T13:57:41Z","title":"RWKV: Reinventing RNNs for the Transformer Era","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.13048","snapshot_observed_at":"2026-08-07T15:42:28.279603Z","title":"Paul Rodriguez, Janet Wiles, and Jeffrey L Elman","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:28.279603Z"},"links":{"cited_paper":"/paper/2305.13048","citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:595c089c07d269ba440d0c0fdf8c2b28f3d709758b835d2c95ba5549b1365541","observation_id":"6feea5cd-36db-42ea-a4f4-0d89669d7c94","resolution":{"observed_at":"2026-08-07T15:42:28.279603Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.09268","last_updated":"2024-02-14T15:54:55Z","snapshot_observed_at":"2026-07-06T17:30:03.953345Z","submitted_at":"2024-02-14T15:54:55Z","title":"Transformers, parallel computation, and logarithmic depth","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.09268","snapshot_observed_at":"2026-08-07T15:42:28.502494Z","title":"think step by step","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:28.502494Z"},"links":{"cited_paper":"/paper/2402.09268","citing_paper":"/paper/2505.14178"},"observation_digest":"sha256:e35f702efecb74c0d1a9cc5f5c3cb2095e2f48bc4c7a6e5937d94e94a481b978","observation_id":"7028bbcc-3cde-44af-b79c-dc5efc31fd6f","resolution":{"observed_at":"2026-08-07T15:42:28.502494Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2505.14178","last_updated":"2025-05-20T10:32:30Z","latest_version":1,"primary_category":"cs.CL","snapshot_observed_at":"2026-08-07T15:36:39.670990Z","submitted_at":"2025-05-20T10:32:30Z","title":"Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":6},"total_outbound_references":18},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 2 inbound Pith citation observations for arXiv:2505.14178."}