{"as_of":"2026-08-12T08:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9b8f4e12fc5fe0e790570d38f35133ca3a0e422c5d6657a7461cae85b379502b","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T10:15:35.157086Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2604.14596/citation-record","integrity":"/paper/2604.14596/integrity","json":"/paper/2604.14596/citation-record.json","paper":"/paper/2604.14596"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ea9eb974-7f79-4787-8bdb-5fe1b7c1c443","year":1973},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:58c9b0512bc8e68d6bd96d40a491c56c73a8c12d982f173665ea069feebe4d48","observation_id":"3f31b3a5-5c42-4d85-8aaf-893b6fcf3f2a","resolution":{"observed_at":"2026-05-20T00:53:19.208338Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3639f3e5-9eb0-48c3-90b3-8db0855cd686","year":1987},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:71422a92e5ca132aaa2c73c80527ea22362d6a2922b6d26423c7a9e052201282","observation_id":"bfbc8a03-e74d-44f7-b20e-283aebdc0cbc","resolution":{"observed_at":"2026-05-20T00:53:19.242153Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"62a98456-e7d3-4136-bd3c-b4a3937d548b","year":2026},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:afa3a02d465c2418798d1bdb90f33b9d532e92bf60b27e32c7d10b9865aa03c7","observation_id":"f549b80d-3fbf-4963-a755-f4e691486359","resolution":{"observed_at":"2026-05-20T00:53:19.234183Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Falconer,Fractal Geometry: Mathematical Foundations and Applications, 3rd ed","venue":null,"work_id":"70fc93c2-7285-43af-b91a-e8379740125e","year":2014},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:83bdd4af6029e683bd6b5489c219b707e86cbaa6afceb43a304ef1d976cfb0aa","observation_id":"371184fb-f85e-4c49-a1ab-f1dd4de25fa3","resolution":{"observed_at":"2026-05-20T00:53:19.238294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"edf36983-33c1-425b-ab67-12226bc48183","year":2004},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:123269940a113957cdcf46dbec578e00bd88c56eee144ac67c6d240ee9ef8c3b","observation_id":"85553df8-032b-42a7-9bf7-0c39d1eefd4f","resolution":{"observed_at":"2026-05-20T00:53:19.231148Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"19fed258-5634-4ba1-85b1-052c4340d288","year":1999},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:9135593ad5516ddcb397d63aa2c415012d0c729c67ad0ca9882abbe9fe69be06","observation_id":"16eac09d-b57d-4912-b485-574807adb6cc","resolution":{"observed_at":"2026-05-20T00:53:19.204861Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"af03e7d8-2fc0-4b7d-8e23-a935b76ab454","year":1973},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:f91a6417d425a8034e62f462ba084d8520159794e287b5f2096b24215691b593","observation_id":"9c29a944-5dd9-4cd0-ba33-3e5980172d33","resolution":{"observed_at":"2026-05-20T00:53:19.219190Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a9f0d19f-5aff-46c3-b662-aead5f27a215","year":1975},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:480d4b9de15ddfd0e6c93481a6a8043dead27cf54d8aa87d48f52a5578bf2f8d","observation_id":"55d3d066-04d8-4c85-bb5b-44f83c9bbf17","resolution":{"observed_at":"2026-05-20T00:53:19.212513Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Hurwitz, Über die Composition der quadratischen Formen von beliebig vielen Variablen,Nachr","venue":null,"work_id":"99151846-5c01-4407-aa0a-1739c6730545","year":1973},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:9c55c24946ed6cc1be17b299b44c45fc05c2e42cdff5e92c7d75d728458cb766","observation_id":"82b3cf43-cb36-4396-9bef-2ed2e354f514","resolution":{"observed_at":"2026-05-20T00:53:19.223221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b03bf1e8-4682-4b10-9982-b90d4ccfd618","year":1974},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:ed81c117325f1984b2da3340e94c0a396fcdbcfb4bb226003ee5b6d7d9203b8c","observation_id":"9d87625e-e849-42ac-aaea-d9269673860e","resolution":{"observed_at":"2026-05-20T00:53:19.227216Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Polchinski, Renormalization and effective Lagrangians,Nucl","venue":null,"work_id":"486851a3-d39f-476d-93db-532183777fdb","year":1984},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:2cb46a0b55f753e4de0d80cb25a94fcb115cb862bb2b6f312e481b76d8dab753","observation_id":"27855596-f6e4-4fae-baef-6ba261ca7b28","resolution":{"observed_at":"2026-05-20T00:53:19.253905Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"8d39106b-c76b-4f7d-b661-55865c51286b","year":1970},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:bade7d49df97036315987cfc84a5295fc407f956448e40d48cd296fcfb9150d4","observation_id":"b86e2c81-b349-4b8d-8a45-dfd66dd6501f","resolution":{"observed_at":"2026-05-20T00:53:19.215969Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"cfa6a386-1e69-4d4e-91ef-fb8dc018671d","year":1995},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:97cfc2a80400f057c8d151dd9c91ef070b90cde4c9c6b3463f809e6693cbbce3","observation_id":"7ac5f7e3-7895-4cb8-8449-57ce8f7bcb30","resolution":{"observed_at":"2026-05-20T00:53:19.245576Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Immirzi, Real and complex connections for canonical gravity,Class","venue":null,"work_id":"bb436e60-4b14-4ca7-a8e7-0b6cbe3ca8ac","year":1997},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:cf98d55c4d04c476da4f6085bd831a2545025a0b8561b090f72f111c9be3ef40","observation_id":"688f23b6-710d-485f-9c60-4098548dafa5","resolution":{"observed_at":"2026-05-20T00:53:19.249768Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"281108d0-4f17-4bee-a24b-48600d5232e9","year":2026},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:3a6a6dd9556ae774abd6e07df3399701debe73e0b501bf06222315aaf71abbf9","observation_id":"92e924e9-cc57-46e1-8d8a-277a1446717b","resolution":{"observed_at":"2026-05-20T00:53:19.194204Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2603.00658","last_updated":"2026-02-28T14:04:51Z","snapshot_observed_at":"2026-08-04T06:33:20.071568Z","submitted_at":"2026-02-28T14:04:51Z","title":"A Deterministic Fractal Set Derived from the Sequence of Prime Numbers","version":1},"cited_work":{"arxiv_id":"2603.00658","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2603.00658","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Li, A Deterministic Fractal Set Derived from the Sequence of Prime Numbers, arXiv preprint","venue":null,"work_id":"7fe3a9c6-ef7b-41dc-a38f-796d68e71b1c","year":2026},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"cited_paper":"/paper/2603.00658","citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:38b2cddfbd5dff123506501d46a6ab2d067cc608317308969ca2742f91a1e56f","observation_id":"b2052559-4387-4a38-a08c-a67e286f06e0","resolution":{"observed_at":"2026-05-27T00:04:12.385307Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2603.08587","last_updated":"2026-03-09T16:39:49Z","snapshot_observed_at":"2026-08-11T12:09:02.956543Z","submitted_at":"2026-03-09T16:39:49Z","title":"Informational Cardinality: A Unifying Framework for Set Theory, Fractal Geometry, and Analytic Number Theory","version":1},"cited_work":{"arxiv_id":"2603.08587","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2603.08587","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Li, Informational Cardinality: A Unifying Framework for Set Theory, Fractal Geometry, and Analytic Number Theory,arXiv preprint","venue":null,"work_id":"4c15b47e-c2f0-4d9b-83f3-d075529b09a7","year":2026},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"cited_paper":"/paper/2603.08587","citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:1a0867fedd71718caf633986ea07e4f5eac0e8c5a59ea7e79d73d03916b2be6b","observation_id":"6555a8dc-d5c1-4d80-8a31-6545d7c1d718","resolution":{"observed_at":"2026-05-27T00:04:12.542062Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Rudnick and P","venue":null,"work_id":"650363b4-f86f-4bb3-8c11-05ab61d652f2","year":1996},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:1155cda82c46d6348943343ea516798107755ad770e14f924f080b361d6f1091","observation_id":"2d851f26-8220-42f3-b7fa-d66b39212109","resolution":{"observed_at":"2026-05-20T00:53:19.201191Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Bogomolny and J","venue":null,"work_id":"c3deeccc-f6c1-4ab4-9f8e-1579d4bcd165","year":1996},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:63f94d5b929c6a07ea82afbdcfd740240253c49417b51e08494ee79679a18789","observation_id":"cd17ca6e-57bd-4b0a-bc79-ef051f7a6b49","resolution":{"observed_at":"2026-05-20T00:53:19.177854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1b72c6b5-b1b2-4ff7-9e70-2ad227bc5b97","year":1999},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:c8ce2e94a2d2f3327e6bb21cfa7d071325dce91ccf745f6dd919cf28dff9f690","observation_id":"99a15e14-5065-4e20-8df3-931e6458e999","resolution":{"observed_at":"2026-05-20T00:53:19.180964Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Conrey, The Riemann hypothesis,Notices Amer","venue":null,"work_id":"e473953b-851c-4101-afcc-1608bb4b80df","year":2003},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:fb8b3881f6a647299f9c737b3999495f14a9e31433a399d0c67b3b2986ea30fd","observation_id":"46ed8127-efcd-4edf-8a5c-ee0e4b1ae829","resolution":{"observed_at":"2026-05-20T00:53:19.184384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3cf9d3fb-a014-4dae-a391-d322e188f758","year":2000},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:df8bdea62b8c0c1bf4f055f004c6d9c8a9adee729b711b3fc8ca62cab002cbbb","observation_id":"099e6b7d-afb2-4335-ad1a-f3cc4d6a6c73","resolution":{"observed_at":"2026-05-20T00:53:19.187507Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Witten, String theory dynamics in various dimensions,Nucl","venue":null,"work_id":"702c103a-b701-47ba-8be3-08f7d8a41973","year":1995},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:c15c2dede00911d7df1173d1df40a87604d8fe537d580a3eb40c21a5d78706b0","observation_id":"94f4508d-0c98-4958-9b01-10326562101f","resolution":{"observed_at":"2026-05-20T00:53:19.190870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"aff6a028-1ef0-4c5a-be50-b5a5602565fc","year":1990},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:d471c02517562a970441fa2d72a46b491de6dd0321322b7cde0818242354db74","observation_id":"9714a273-7221-4201-a58e-457667d7ed6f","resolution":{"observed_at":"2026-05-20T00:53:19.174307Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2a5124de-63cb-4b30-b28d-34ca9a58020d","year":1960},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:f5282facdfd586c09008e8a10f8275a896d2cd22a90ff84a9a4466b798ab21c2","observation_id":"4a64469f-25ae-4a66-a4fb-c64626f8b9fa","resolution":{"observed_at":"2026-05-20T00:53:19.197526Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Wolf, 1/f noise in the distribution of prime numbers,Physica A241(3–4), 493–499","venue":null,"work_id":"6a3afac9-b930-4cc7-b723-04bda7623a05","year":1997},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:b03e27bac503cd801e14c25138391f6aedcd18f32b5cd34a52e36a044c1cc8f3","observation_id":"7f4c6abb-f41f-49d9-9d04-152e6e4a883d","resolution":{"observed_at":"2026-05-20T00:53:19.178432Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1807.06209","last_updated":"2021-08-09T10:43:18Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2018-07-17T04:05:07Z","title":"Planck 2018 results. VI. Cosmological parameters","version":4},"cited_work":{"arxiv_id":"1807.06209","doi":"10.1007/jhep11(2024)108","metadata_source":"pith","pith_arxiv_id":"1807.06209","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Planck 2018 results. VI. Cosmological parameters","venue":"astro-ph.CO","work_id":"eeae0089-7b56-4c63-ace2-a31de468f6c5","year":2018},"citing_paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-10T10:15:35.157086Z"},"links":{"cited_paper":"/paper/1807.06209","citing_paper":"/paper/2604.14596"},"observation_digest":"sha256:8dcc3e12809d8d001f0abdac3bae109ebf97637e1e77a9f7dc27cb64634f5336","observation_id":"1eef538f-ab59-41f2-a946-e90f870e82bb","resolution":{"observed_at":"2026-05-10T10:24:22.158288Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.14596","last_updated":"2026-04-16T03:59:18Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-12T01:07:02.979183Z","submitted_at":"2026-04-16T03:59:18Z","title":"Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":3,"verified_fuzzy":9},"total_outbound_references":27},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2604.14596."}