{"as_of":"2026-08-10T17:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f8d58b3892aa38fc451110fb45acfd22c7c7589a2744d725836301685da5e9f3","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T19:47:50.689590Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2511.22905/citation-record","integrity":"/paper/2511.22905/integrity","json":"/paper/2511.22905/citation-record.json","paper":"/paper/2511.22905"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:47:50.561969Z","title":"The function field Sathe-Selberg formula in arithmetic progressions and ‘short intervals’","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.561969Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:bca4e34c35d7cbef782bb987966fe3339c6db6d348507353abb047873289f2a2","observation_id":"efbdb6e5-53b4-4e10-998a-21d35beafb31","resolution":{"observed_at":"2026-08-03T19:47:50.561969Z","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":"2026-08-03T19:47:50.566468Z","title":"Sums of random multiplicative functions over function fields with few irreducible factors","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.566468Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:981d36621372ca1c3365965c0066fa73b23868c4c10f5e739c41637397896b3e","observation_id":"0d290e90-4f54-4478-8dc4-f4651c810b60","resolution":{"observed_at":"2026-08-03T19:47:50.566468Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.13849","last_updated":"2025-08-19T14:10:53Z","snapshot_observed_at":"2026-08-05T18:49:31.743162Z","submitted_at":"2025-08-19T14:10:53Z","title":"The Fourier coefficients of the critical holomorphic multiplicative chaos","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.13849","snapshot_observed_at":"2026-08-03T19:47:50.570089Z","title":"Atherfold and J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.570089Z"},"links":{"cited_paper":"/paper/2508.13849","citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:4caac8b629a76996ed9cd3d42f8f6de3c627c3f6b88eb8693abb3ddd6c3183b6","observation_id":"35c680d9-eebb-46d9-8d52-367d7b771051","resolution":{"observed_at":"2026-08-03T19:47:50.570089Z","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":"2026-08-03T19:47:50.574225Z","title":"Prime polynomials in short intervals and in arithmetic progressions","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.574225Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:3c86075a79c82ab1df26ad3d63328eadd6fd67e7889eb650c528703c9aa517e8","observation_id":"8075aa03-b8b0-44c2-a937-553aa91ab6e7","resolution":{"observed_at":"2026-08-03T19:47:50.574225Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.05046","last_updated":"2023-09-17T07:29:19Z","snapshot_observed_at":"2026-07-06T16:16:37.618798Z","submitted_at":"2023-09-10T14:49:26Z","title":"Product Sets of Arithmetic Progressions in Function Fields","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.05046","snapshot_observed_at":"2026-08-03T19:47:50.578148Z","title":"Bary-Soroker and N","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.578148Z"},"links":{"cited_paper":"/paper/2309.05046","citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:d1b8ca9dac8adde66e07cf10110f48ce7ff3559a9f42c4a09a69652135a01496","observation_id":"32bc0168-511e-4bab-bbd7-973d311ae1bd","resolution":{"observed_at":"2026-08-03T19:47:50.578148Z","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":"2026-08-03T19:47:50.581900Z","title":"Random multiplicative functions in short intervals","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.581900Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:bdc20be285544d615b616bd4f0edf1c819ba605e36330c4b91543ac349b4f329","observation_id":"692651f0-25fe-4247-9659-fa54b1df4023","resolution":{"observed_at":"2026-08-03T19:47:50.581900Z","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":"2026-08-03T19:47:50.585650Z","title":"Uniform estimates for almost primes over finite fields","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.585650Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:3d6ccb4c3cd6ba1931cc09006e8f079e79d33e82708fc5c39589adc8a594c00a","observation_id":"3c3bf358-69a5-461f-a7da-b3b9270f0c15","resolution":{"observed_at":"2026-08-03T19:47:50.585650Z","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":"2026-08-03T19:47:50.588838Z","title":"Gorodetsky and M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.588838Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:4d3afeeeeb2ec2a751e345b9fdc200549736a7ecd63fe0d5e249b8466587ae73","observation_id":"11e67043-81c9-4e20-bfaf-8ee8ed5210c4","resolution":{"observed_at":"2026-08-03T19:47:50.588838Z","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":"2026-08-03T19:47:50.592063Z","title":"Gorodetsky and M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.592063Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:5801664c1f598a19cb212d041e9ba186bb586a635510e6ed90b668172ea0c0ff","observation_id":"f8b65f02-18e4-4ad3-9220-5a9450bd2437","resolution":{"observed_at":"2026-08-03T19:47:50.592063Z","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":"2026-08-03T19:47:50.595246Z","title":"Uniform estimates for smooth polynomials over finite fields","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.595246Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:5f326db413bdd57aae99de607501c12e494485e37c610da6c7f38217708f864d","observation_id":"912f5663-c97f-406f-9a72-57ac6e088eed","resolution":{"observed_at":"2026-08-03T19:47:50.595246Z","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":"2026-08-03T19:47:50.598433Z","title":"Smooth numbers: computational number theory and beyond","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.598433Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:fbdd146d08311a5584a93b65c0f6e6e36c01a9a19c610579d79c5601c47a38a7","observation_id":"ea02901f-7dce-4299-ba64-90171a0eebb2","resolution":{"observed_at":"2026-08-03T19:47:50.598433Z","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":"2026-08-03T19:47:50.601846Z","title":"Mean values of multiplicative functions over function fields","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.601846Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:98a8a6146f10d18279fd31840fc194998d62d39e198ffa6a625d727a8dcbbd4c","observation_id":"9cceb70e-9fc8-448a-8cea-7ec6fc712f3c","resolution":{"observed_at":"2026-08-03T19:47:50.601846Z","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":"2026-08-03T19:47:50.605077Z","title":"Gut.Probability: a graduate course","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.605077Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:0385068052491fe35ee22518dbe255525d17748b36336bb59e06223e00501a58","observation_id":"e6b90f1e-cc6d-4d4d-bc96-24b87497752c","resolution":{"observed_at":"2026-08-03T19:47:50.605077Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.11523","last_updated":"2024-10-15T11:50:25Z","snapshot_observed_at":"2026-08-06T13:59:10.221702Z","submitted_at":"2024-10-15T11:50:25Z","title":"Moments of random multiplicative functions, III: A short review","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.11523","snapshot_observed_at":"2026-08-03T19:47:50.608387Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.608387Z"},"links":{"cited_paper":"/paper/2410.11523","citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:5b5934fe35a36ea11d8adfe7fb98aa1cf543410d85678d713ea7a082d32d6c07","observation_id":"0655400c-7798-4cd6-8853-1b69a5c60149","resolution":{"observed_at":"2026-08-03T19:47:50.608387Z","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":"2026-08-03T19:47:50.611914Z","title":"Moments of random multiplicative functions, I: Low moments, better than squareroot cancellation, and critical multiplicative chaos","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.611914Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:7646f432ebf8dfced3be34a722c397828395b6bf37aac23c4eee2fe559ec62c8","observation_id":"2b5974ca-4191-4309-8116-e0e2a8c7b6f7","resolution":{"observed_at":"2026-08-03T19:47:50.611914Z","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":"2026-08-03T19:47:50.615264Z","title":"On the limit distributions of some sums of a random multiplicative function","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.615264Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:5ef03137ce895d124d8de62e47d4fd96d1edf8e1af66dc7d8bca7e1c12d392f9","observation_id":"d3123bac-761a-43aa-ae35-340bdc2096b8","resolution":{"observed_at":"2026-08-03T19:47:50.615264Z","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":"2026-08-03T19:47:50.618460Z","title":"Integers free of large prime divisors in short intervals","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.618460Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:33b056b0a843669696ec1ee2eb60a7ef87992deb5fc4ef25f4ddd8a1941c3c3b","observation_id":"ffd9fa2b-0458-4577-9fc5-cfd1ddcaa815","resolution":{"observed_at":"2026-08-03T19:47:50.618460Z","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":"2026-08-03T19:47:50.621818Z","title":"Integers free of large prime factors and the Riemann hypothesis","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.621818Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:e6884fb22f8055c4ee3b31ddff5b4e5b1e3346ed9c5fb94583637401275313e4","observation_id":"8cc38cc9-e4ff-4e44-b089-a1800c795ee0","resolution":{"observed_at":"2026-08-03T19:47:50.621818Z","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":"2026-08-03T19:47:50.625533Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.625533Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:035459db5ca7c22b4b34b528cae8ce3fcd8c6ff5edf9fdda6cd5d85940ebe865","observation_id":"d8022d05-2ba9-440d-be26-328bf28e910a","resolution":{"observed_at":"2026-08-03T19:47:50.625533Z","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":"2026-08-03T19:47:50.629008Z","title":"Summation of a random multiplicative function on numbers having few prime factors","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.629008Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:1de4cd9cfbc00e26f0b9ea4d752ab9e7e51e353a6b7a8fdbc94a503e08502881","observation_id":"658036ae-a9db-4fdb-8966-58e03219e2a5","resolution":{"observed_at":"2026-08-03T19:47:50.629008Z","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":"2026-08-03T19:47:50.632304Z","title":"Asymptotic expansions for the Stirling numbers of the first kind","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.632304Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:1e61f5e78783f8543d2759234b0ade87313a654fcd19ae270e8c4cf8983df885","observation_id":"a8b001a3-5903-41c5-b875-4fd4ac13fecf","resolution":{"observed_at":"2026-08-03T19:47:50.632304Z","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":"2026-08-03T19:47:50.635733Z","title":"Squarefree polynomials and M¨ obius values in short intervals and arithmetic progressions","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.635733Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:58038b691eebb83e46b72f3c14a0c1cf4bc82c9e7ff2b21d89139f232b6b274b","observation_id":"2c43941d-cf90-4885-a6be-0cd6658aef13","resolution":{"observed_at":"2026-08-03T19:47:50.635733Z","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":"2026-08-03T19:47:50.638953Z","title":"The variance of the number of prime polynomials in short intervals and in residue classes","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.638953Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:107328957638411a9486cf294a538dae8d7ac9b7fbdd40780c637e29d6fa5186","observation_id":"59f8e24e-3389-46ef-aaf2-430db08488fc","resolution":{"observed_at":"2026-08-03T19:47:50.638953Z","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":"2026-08-03T19:47:50.642598Z","title":"On the random Chowla conjecture","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.642598Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:c0049a5c2ac37aa183c3ec64a7fddd0ddfff7863d33ed8fa62e4b2517e4276b3","observation_id":"49099308-40d1-4085-b556-a8a7498e430f","resolution":{"observed_at":"2026-08-03T19:47:50.642598Z","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":"2026-08-03T19:47:50.645792Z","title":"Dependent central limit theorems and invariance principles","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.645792Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:7efa5e9e2e231ebf60bd2444f758577f527a58e93be30838fb3a3b8b2cf20452","observation_id":"ce60ec7f-1367-4651-9634-8df92aff82cd","resolution":{"observed_at":"2026-08-03T19:47:50.645792Z","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":"2026-08-03T19:47:50.649106Z","title":"M´ erai.Smooth polynomials with several prescribed coefficients.https://arxiv.org/abs/2307","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.649106Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:30cea9efa20b5e3c1907d89f4343e96bdf23bcff8117474afe9b14b761aa694e","observation_id":"7aa04a74-0e51-45a7-a025-f7cc42b3b2fe","resolution":{"observed_at":"2026-08-03T19:47:50.649106Z","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":"2026-08-03T19:47:50.652632Z","title":"A polynomial analogue of the twin prime conjecture","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.652632Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:c449c3a18395665f371cccbe1e3ca5082ad1d3a1cff31ff044c7a1f8c1d485d0","observation_id":"c106e230-3aca-4a70-b0f2-907fe9cf1ac1","resolution":{"observed_at":"2026-08-03T19:47:50.652632Z","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":"2026-08-03T19:47:50.656577Z","title":"Rosen.Number theory in function fields","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.656577Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:021063e595a335ba2e93c8fe3a4010ea662127ea48aeaa0b4d58bb416499427d","observation_id":"eac2e9e0-8f9e-4d26-87d0-9faf1e7586bd","resolution":{"observed_at":"2026-08-03T19:47:50.656577Z","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":"2026-08-03T19:47:50.660111Z","title":"Some problems in analytic number theory for polynomials over a finite field","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.660111Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:554e8fd91d7d468a174eff8fd9daa50a9e184537a2a2c77054b9a117a7c6bf07","observation_id":"b90c8294-3f62-4972-8595-2b02c5cc76fd","resolution":{"observed_at":"2026-08-03T19:47:50.660111Z","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":"2026-08-03T19:47:50.663363Z","title":"Square-root cancellation for sums of factorization functions over short intervals in function fields","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.663363Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:24e16bb915f09a427b5caeb4d8073f62847e06288b10ac6acbf829f1c5477acc","observation_id":"22d2fee6-baaf-4002-a8de-b2cff08f4382","resolution":{"observed_at":"2026-08-03T19:47:50.663363Z","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":"2026-08-03T19:47:50.666496Z","title":"A Brun-Titchmarsh theorem for multiplicative functions","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.666496Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:098c48ad1541e087608508e24a917cd98518f04f69f1118d1592bd3b2b37e2a6","observation_id":"a4d25d90-00c6-40c4-9b06-63446b378c82","resolution":{"observed_at":"2026-08-03T19:47:50.666496Z","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":"2026-08-03T19:47:50.669763Z","title":"Central limit theorems for random multiplicative functions","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.669763Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:58ee4822de1721b99ff730ca3280724f483b379d2fa230d28a3a604048098ef4","observation_id":"340a16fd-3f56-4dac-be4b-1b1cb4bea69a","resolution":{"observed_at":"2026-08-03T19:47:50.669763Z","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":"2026-08-03T19:47:50.672941Z","title":"A model problem for multiplicative chaos in number theory","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.672941Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:e268b96396c91bf2492acaa483cc3cdaa5137c4cc463b60afaae0fe8e185e021","observation_id":"3cde3be9-4847-490b-a792-4956aede703e","resolution":{"observed_at":"2026-08-03T19:47:50.672941Z","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":"2026-08-03T19:47:50.676142Z","title":"The fourth moment of DirichletL-functions for the rational function field","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.676142Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:27b03407ff43e8643db7cc8fe51e28a352f2d91f63b15312f4c4ab0f1e613969","observation_id":"8e9facde-0619-4804-a1d1-e810800193b0","resolution":{"observed_at":"2026-08-03T19:47:50.676142Z","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":"2026-08-03T19:47:50.679582Z","title":"Irregularities in the distributions of primes in function fields","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.679582Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:42fd9a89145bc1351adc5f51d2a45c388b18aa16619d65d12a0168df87db2f68","observation_id":"33f8e016-82ef-4201-baa0-68552e00fced","resolution":{"observed_at":"2026-08-03T19:47:50.679582Z","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":"2026-08-03T19:47:50.682955Z","title":"Sieve methods for polynomial rings over finite fields","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.682955Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:a356c7cfa0ab406d12ad4df0b72effc3fcf0bdbc26502b249006e0165b387b94","observation_id":"8deda419-7c20-44ca-882f-455a771c2058","resolution":{"observed_at":"2026-08-03T19:47:50.682955Z","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":"2026-08-03T19:47:50.686222Z","title":"Random factorizations and Riemann’s hypothesis","venue":null,"work_id":null,"year":1944},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.686222Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:10434e5c53d241b518787986d04f0af3955eb781eab8dfcb8f9d5276c6cfd9d0","observation_id":"8d7c8bb4-f47d-4ad1-90a3-e34bdcc5b477","resolution":{"observed_at":"2026-08-03T19:47:50.686222Z","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":"2026-08-03T19:47:50.689590Z","title":"Better than square-root cancellation for random multiplicative functions","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T19:47:50.689590Z"},"links":{"citing_paper":"/paper/2511.22905"},"observation_digest":"sha256:2fe9f3d45189f8763059fdac41a74021b5f45c5e35cb7a47df03a063c4bc4822","observation_id":"2e28c61b-4256-43c9-97a7-20c47f9927bc","resolution":{"observed_at":"2026-08-03T19:47:50.689590Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2511.22905","last_updated":"2025-12-07T21:51:12Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-03T19:47:49.256704Z","submitted_at":"2025-11-28T06:22:10Z","title":"Central limit theorems for random multiplicative functions over function fields"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":38,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":38},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2511.22905."}