{"as_of":"2026-08-11T20:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9f5ee4b75fa9ea4d793c2136ab02f2f06897e0570ecfbe6e200c7ecd03108f0e","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":"2026-08-04T11:41:09.068461Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2510.04167/citation-record","integrity":"/paper/2510.04167/integrity","json":"/paper/2510.04167/citation-record.json","paper":"/paper/2510.04167"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T11:41:06.864834Z","title":"On the order of magnitude of the difference between consecutive prime numbers","venue":null,"work_id":null,"year":1936},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:06.864834Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:d298bd54b5a0aac416a866887b67731406e9e3318937164b6216065c1d02425e","observation_id":"eaac61de-f8b4-4d5d-b123-b8e0e2603d83","resolution":{"observed_at":"2026-08-04T11:41:06.864834Z","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":"2026-08-04T11:41:07.019467Z","title":"Some problems of “Partitio Numero- rum,","venue":null,"work_id":null,"year":1923},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:07.019467Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:53cdd488585cd6f6eeeac25026c007f3bcd4b1db6fa067c9f355b0aca7192f91","observation_id":"cdceab69-a5a5-402c-8d60-01aead195fb0","resolution":{"observed_at":"2026-08-04T11:41:07.019467Z","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":"2026-08-04T11:41:07.158633Z","title":"Primes in tuples. I","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:07.158633Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:e7aadc0720a56dc3955bfa79c205c4eb627efbc5641e4e3cd0a38e1d5a49903f","observation_id":"2ecbab4e-9502-4815-8c30-49b46b21a658","resolution":{"observed_at":"2026-08-04T11:41:07.158633Z","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":"2026-08-04T11:41:07.302805Z","title":"Bounded gaps between primes","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:07.302805Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:3dbd96fa2a4aa189ef2a87fb2ce15f5af010c9e9e1da28b0e48faf50bdad0611","observation_id":"c777d31a-fb5b-47ae-ba3e-179d50208698","resolution":{"observed_at":"2026-08-04T11:41:07.302805Z","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":"2026-08-04T11:41:07.377513Z","title":"Small gaps between primes","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:07.377513Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:32a93278069021c731da226b88b05c69cafb2fab8519d3475445a712b72a0e97","observation_id":"798a1c21-cab9-44b3-ba4d-859e9d33e1fa","resolution":{"observed_at":"2026-08-04T11:41:07.377513Z","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":"2026-08-04T11:41:07.528214Z","title":"Random difference equations and renewal theory for prod- ucts of random matrices","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:07.528214Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:e88fd4e969f6b1813e067dab72cfcc1d87b35f1ed6323add5a31939eb3521bc8","observation_id":"e7700dc9-dbf7-4195-a27f-2e1eb7167c40","resolution":{"observed_at":"2026-08-04T11:41:07.528214Z","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":"2026-08-04T11:41:07.687193Z","title":"Intermittent turbulence in self-similar cascades: diver- gence of high moments and dimension of the carrier","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:07.687193Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:b6e287a3ba43643f2a178361e82155ad74f1de83c480e16be45af5050035088b","observation_id":"4bb01a1a-9a20-4297-ab2f-3d9fd6b9310c","resolution":{"observed_at":"2026-08-04T11:41:07.687193Z","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":"2026-08-04T11:41:07.798486Z","title":"Universal codeword sets and representations of the integers","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:07.798486Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:39ed3632c4da1c90bd8b68aea5ffe72363365880dad37fc93c55da5f9090b09b","observation_id":"e8d10543-c649-44dd-86ec-901075d938a0","resolution":{"observed_at":"2026-08-04T11:41:07.798486Z","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":"2026-08-04T11:41:07.912436Z","title":"Arora and B","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:07.912436Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:098d0abfa9b7b5956723596c9cfb88452b19c438a88c9b8e210ddcbcdf6c7026","observation_id":"46c9647c-ca7b-41a2-bfd0-b13b2cbf8d6c","resolution":{"observed_at":"2026-08-04T11:41:07.912436Z","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":"2026-08-04T11:41:08.049638Z","title":"Li and P","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:08.049638Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:07d58a37168239ed1e28b5a2e6cb1dbd973a7845e8062dbcec7417d92b066a95","observation_id":"2ade0b16-9128-4f25-bf18-0f7055123349","resolution":{"observed_at":"2026-08-04T11:41:08.049638Z","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":"2026-08-04T11:41:08.171961Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:08.171961Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:2e4c555a9394a0b13510d0c44bece006c45282ecb754a9d3890a975802f5a1d6","observation_id":"d83f3d8b-b642-401e-9f59-df6c1e510081","resolution":{"observed_at":"2026-08-04T11:41:08.171961Z","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":"2026-08-04T11:41:08.266138Z","title":"Kolpakov and A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:08.266138Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:753db33a8d05d313cf432845294947a32d0369d890f32209a2d50d3eceab0743","observation_id":"999bc7da-21c3-4067-9f7a-e3f14da1665a","resolution":{"observed_at":"2026-08-04T11:41:08.266138Z","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":"2026-08-04T11:41:08.424690Z","title":null,"venue":null,"work_id":null,"year":1949},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:08.424690Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:f8e0fd6220445820bb5cbba4d45a9abbafda036e2d8fa2e4628960e0f54652a0","observation_id":"c8c85e4e-30ba-4226-a3fb-514bb6281aee","resolution":{"observed_at":"2026-08-04T11:41:08.424690Z","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":"2026-08-04T11:41:08.544627Z","title":"Two inequalities implied by unique decipherability","venue":null,"work_id":null,"year":1956},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:08.544627Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:42b53aaa2232451097e9e2d2cb9e1851d39db8ab03b84e6e2181db1384000a4b","observation_id":"99bf1a2b-de3a-4e26-9767-453b10a9ebb1","resolution":{"observed_at":"2026-08-04T11:41:08.544627Z","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":"2026-08-04T11:41:08.700014Z","title":"Shen,Around Kolmogorov complexity: basic notions and results, 2015","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:08.700014Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:1e8a5b75a94245def028b5259e6f8ef216f330c56e6218a8f6baafc3fd2c696e","observation_id":"4137ba3e-2cbd-4a45-8c23-19e81fdb3d09","resolution":{"observed_at":"2026-08-04T11:41:08.700014Z","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":"2026-08-04T11:41:08.790888Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:08.790888Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:80c51441ea1dff01e067ae16fe7508eddb5554f525eaf0d2040e01b69b1831ba","observation_id":"2c35b89f-ac4e-4520-8df2-e368d64b6c4c","resolution":{"observed_at":"2026-08-04T11:41:08.790888Z","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":"2026-08-04T11:41:08.936348Z","title":"Kolpakov and A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:08.936348Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:a21c518a9037b171cb7165aaa848493d0c7b23aa7b1aab6109295535e7ffd12f","observation_id":"93a096e9-0a4b-4f99-9e5a-7bb2bf06b6b5","resolution":{"observed_at":"2026-08-04T11:41:08.936348Z","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":"2026-08-04T11:41:09.068461Z","title":"Auxiliary code for “Multiplicative Turing Ensembles","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T11:41:09.068461Z"},"links":{"citing_paper":"/paper/2510.04167"},"observation_digest":"sha256:72e1ae82a13f743b87c80d0a58620811e12dbe8e1ddcf17887e7dd895c195fe7","observation_id":"c8ccef2c-dbaa-47f2-af1d-cf9ec53e65db","resolution":{"observed_at":"2026-08-04T11:41:09.068461Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2510.04167","last_updated":"2026-07-22T21:03:07Z","latest_version":3,"primary_category":"cs.IT","snapshot_observed_at":"2026-08-11T14:56:24.155544Z","submitted_at":"2025-10-05T12:04:50Z","title":"Multiplicative Turing Ensembles, Pareto's Law, and Creativity"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":18,"verified_exact":0,"verified_fuzzy":0},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2510.04167."}