{"as_of":"2026-08-11T16:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bff28f4abf04a91fa7ab9e8c9aca23f54bb7ccdbddfb6872c88fe852f38807d6","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T10:12:47.906081Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"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/2607.10654/citation-record","integrity":"/paper/2607.10654/integrity","json":"/paper/2607.10654/citation-record.json","paper":"/paper/2607.10654"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T10:12:47.906081Z","title":"Sur les nombres qui ont des propri´ et´ es additives et multiplicatives donn´ ees.Acta Arithmetica, 13(3):259–265, 1968","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:7e39c4f1c61b10e2acb933b60f387a82046dd334b234ed9d061c026dcf4757d1","observation_id":"32cc7d51-4007-48b9-bc5c-dd43849a3438","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"On the joint distribution ofq-additive functions in residue classes.Journal of Number Theory, 74(2):307–336, 1999","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:4ecf353ba8191c948304570648c36fdb8b079277d9e0c0c14c0d8fcd6816bf30","observation_id":"f5d05ad7-50ca-4b3d-90a0-c9a956f5e210","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"The sum-of-digits function of canonical number systems: Distribution in residue classes.Journal of Number Theory, 132(12):2756–2772, 2012","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:801341d940b42bb9ed0f9db8b1612cd991e88dc4d804ba14bc318b810e9eb71c","observation_id":"d21be957-6620-483a-bcaa-73deb5c9e10b","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Sur un probl` eme de gelfond: la somme des chiffres des nombres premiers.Annals of Mathematics, pages 1591–1646, 2010","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:c22c464e9c304df8c863e3aabce18326eb3fab575b36e2d8d359f8a52e1cfc02","observation_id":"eaa821b6-c91a-45dd-be51-8763ef716422","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Primes with an average sum of digits","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:9a3ae8f913b2d973247098e022abc0c7ad1ed9b64f654c53cd724f79a64baf2d","observation_id":"0965b0b6-04c7-408c-9a2c-163cc4df6bff","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"The sum-of-digits function of polynomial sequences.Journal of the London Mathematical Society, 84(1):81–102, 2011","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:164f9f296530ecdf5197ec4561334f3ae7442c5c3efbb8808d60e7ec85f7f392","observation_id":"7a366ac7-32f7-4d22-9659-31386a7f9991","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Exponential sums over primes in an arithmetic progression","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:46cbdf06a1475c6c9472b7bf47c548b348073a094d3f4c2a018dc8d76761c71b","observation_id":"577b8299-a706-48f6-84a6-d82e9bea2ce7","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"On the correlation of the sum of digits along prime numbers.convergence, 6(1):3, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:c1b8c75c538043e22a1b7e1b903530acd62ba2ab2dc846fe20172e5d3c7104a0","observation_id":"188f0a76-e43e-414f-8c81-616b1c5bd414","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Prime numbers in two bases.Duke Mathematical Journal, 169(10):1809–1876, July 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:a10e416a8b71ee82f9c719d26cf9e01c6a04bbb8d965cdee0aee8da821466792","observation_id":"96998ec7-99aa-4084-9f44-e5f21b5099aa","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Prime numbers along rudin–shapiro sequences.Journal of the European Mathematical Society, 17(10):2595–2642, 2015","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:f76341988c0ff034149a0c6e13a0924b0986e666826575efd2ed97185844ac66","observation_id":"89ab3da0-9364-4b31-a4b6-a3ffc6708751","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1710.01091","last_updated":"2017-10-03T11:40:38Z","snapshot_observed_at":"2026-08-11T02:13:22.444763Z","submitted_at":"2017-10-03T11:40:38Z","title":"Exponential sums with automatic sequences","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.01091","snapshot_observed_at":"2026-07-14T10:12:47.906081Z","title":"Exponential sums with automatic sequences.arXiv preprint arXiv:1710.01091, 2017","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"cited_paper":"/paper/1710.01091","citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:6d744d898affc837edf514576ce4659817f2f20714ba04607fdc0488106a9c13","observation_id":"d85b7408-3ddc-46c1-80d8-54d030396f8d","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Digital functions along squares of prime numbers.arXiv preprint arXiv:2509.17474, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:bf32c2f44e45d20fdee5533945810a3d7e7736931e55d82a70da64817fb19db9","observation_id":"37c379ba-8efa-4e37-a3ba-b754ac2979de","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"American Mathematical Society, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:4d7dbcc0e2974b2aecd254e4a2ac076905af88907642a57f71793f28e0eef598","observation_id":"9e5538b4-1f88-4e0d-a64a-1397d1faed88","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Primes with restricted digits.Inventiones mathematicae, 217(1):127–218, 2019","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:c270d8273d92c35f17d757b7ddf12c59695512489a820c7aafbcf2f17ec3683b","observation_id":"4cb7070c-0a9b-4407-8c35-0606ed21fb6b","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Prescribing the binary digits of primes, ii.Israel Journal of Mathematics, 206(1):165–182, 2015","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:3b4466122af44eb5bafccd948239c128365bb7c4aadf6f5d0477800a7c58b4f2","observation_id":"5603ab5c-62ad-48b7-8520-7abcf4d1a673","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Prime numbers with a positive proportion of preassigned digits.Proceedings of the London Mathematical Society, 121(1):83–151, 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:9bf92b84660cf9be8bbfb6ed7983b325c2204552b78ba1fca35ac74a39223dbd","observation_id":"f08a8cae-3427-45e1-a2df-e556e58b4a76","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Primes with a missing digit: Distribution in arithmetic progressions and an application in sieve theory.Journal of the London Mathematical Society, 109(1):e12837, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:fbd71986b0030bcb1bf399b055927701a6903d4f0bff43b2777d50738dac350e","observation_id":"6eb27ba0-d319-40f5-bc03-362957c69ee6","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.05944","last_updated":"2024-06-24T17:49:30Z","snapshot_observed_at":"2026-07-06T18:43:00.310399Z","submitted_at":"2024-06-24T17:49:30Z","title":"Cryptanalysis of RSA Cryptosystem: Prime Factorization using Genetic Algorithm","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.05944","snapshot_observed_at":"2026-07-14T10:12:47.906081Z","title":"Cryptanalysis of rsa cryptosystem: Prime factor- ization using genetic algorithm.arXiv preprint arXiv:2407.05944, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"cited_paper":"/paper/2407.05944","citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:416c13f80ab543924fd26f7f06582554ec9404e9c8eec07cfa27d41952c9b4e6","observation_id":"13e46de6-1154-4e03-9600-feb47fb9e97a","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"A sieve-driven genetic algorithm for rsa cryptosystem: Exploiting digit distribution and algebraic regularities.Applied Soft Computing, page 115415, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:31b7ef6bbb9606853407579a4a4892b2f5b50d5c96f6a66d6b4e35c18b980ca6","observation_id":"688c9ce9-8a14-487b-95d8-2265b0e03a2d","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Number 84 in CBMS Regional Conference Series in Mathematics","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:940bfb365bcb1d88dd105db5b392f549e3d8e0d4fa4fd01de98642a36f852d4d","observation_id":"5ecbaf35-ac03-4a92-913a-15034d519b4d","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","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":"2026-07-14T10:12:47.906081Z","title":"Springer Science & Business Media, 2013","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-14T10:12:47.906081Z"},"links":{"citing_paper":"/paper/2607.10654"},"observation_digest":"sha256:fbe4e4dfb2fe617043490f5aed4e228a20362d50d10aefc84d627fed84d3c9ab","observation_id":"638921b6-4817-4cf7-ad6c-73e8afde25fe","resolution":{"observed_at":"2026-07-14T10:12:47.906081Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.10654","last_updated":"2026-07-12T08:40:29Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-02T13:43:40.113481Z","submitted_at":"2026-07-12T08:40:29Z","title":"The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":21},"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 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.10654."}