{"as_of":"2026-08-14T13:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1b2d524356b83a9982f2c0348cd49613b67cd3c66bc437ba7151c818eb6a5ea3","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":"2026-08-06T13:23:34.902105Z","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":"2026-08-14T06:32:32.682623+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/2507.20742/citation-record","integrity":"/paper/2507.20742/integrity","json":"/paper/2507.20742/citation-record.json","paper":"/paper/2507.20742"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:40.028187Z","title":null,"venue":null,"work_id":"325e8373-d1ed-4f39-aaf6-ca2821b64aa2","year":1959},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:31.367731Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:a6e1e64c13dbea77641887f3d693503103d193d445c1287935d529064ff4f363","observation_id":"529f8e51-80e1-4bc1-a6a0-24b7ff985da3","resolution":{"observed_at":"2026-08-06T13:23:40.148218Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:39.781148Z","title":null,"venue":null,"work_id":"38423b84-e771-42a8-8c08-7c2748d16802","year":2013},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:31.493497Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:785e063dfe51503841dae72cd98613b62690750901698e9ed3d827711a981e1a","observation_id":"d848fb23-8d2d-4aee-b6b8-94158cff2381","resolution":{"observed_at":"2026-08-06T13:23:39.899465Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:39.533103Z","title":null,"venue":null,"work_id":"fd4f8741-f611-4f35-a91c-17ae49c3b8d3","year":2011},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:31.664108Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:6ffc8337676175447ac8d4ce518900b9696bac365892e574bbaf6dc6fb1d8b95","observation_id":"fdb3f4e1-a3eb-4a18-b056-31bcaecab776","resolution":{"observed_at":"2026-08-06T13:23:39.668269Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:39.297044Z","title":"R., Zagoskin, A","venue":null,"work_id":"009828f1-0a3a-4d80-9688-6fa5fcf5a3ba","year":2007},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:31.804905Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:7325471b7948c2010e73e287deca8e00ecc0bac995aa1b94723b1c2da03946ea","observation_id":"7edfaa6f-8c56-4dd3-863e-dbc4b03067ab","resolution":{"observed_at":"2026-08-06T13:23:39.390659Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:38.999053Z","title":null,"venue":null,"work_id":"cac41c53-8f32-4248-b95e-30e0a3bd3f2d","year":1971},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:32.007340Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:31c017fd4b045db6759ec2c1f46beca402080383a52ba5ea919f204dd8e4d0f4","observation_id":"6bbe6303-6f10-46ac-8253-9a0377c7ea0a","resolution":{"observed_at":"2026-08-06T13:23:39.096681Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:38.779302Z","title":null,"venue":null,"work_id":"06e013cb-d07d-49b5-aa42-2da86a847205","year":2008},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:32.174945Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:f83ca60bae7ab18cf62cf9189b1f38378421c5de7eca008de404b7e8a37840c2","observation_id":"491f5846-5cbc-465e-b336-4f35e7ccdfb0","resolution":{"observed_at":"2026-08-06T13:23:38.889921Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:38.561206Z","title":null,"venue":null,"work_id":"e1a004e5-89ae-4f5e-8e2f-9bfc8d97db86","year":2013},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:32.381646Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:c46e8fbadfcbee44162c70c15c632541a4ece20468575aea90d002e41bc8da4e","observation_id":"85f99046-100c-41d0-bf5d-227481710d74","resolution":{"observed_at":"2026-08-06T13:23:38.677850Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:38.324799Z","title":null,"venue":null,"work_id":"083df7b6-1316-4742-803e-f72b2891b5c5","year":2015},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:32.586256Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:084311325bcf149b5d245d3e0c4e8a2a45a7a88bcbb4d907100d21acac85c6a9","observation_id":"38d581d6-8798-4cfa-b098-4f4e4fc2cc15","resolution":{"observed_at":"2026-08-06T13:23:38.442071Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:38.111888Z","title":"P., & Petruccione, F","venue":null,"work_id":"ed45e0c8-07e6-4e5b-b5cb-bfd971d12132","year":2002},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:32.805243Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:9eaaf01be8047f52f22bfe4b30e542f204d839c56df13e60d9dfb9501c62e025","observation_id":"775ad26d-030f-4413-b3d8-35eb8a635ece","resolution":{"observed_at":"2026-08-06T13:23:38.212269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:37.881834Z","title":null,"venue":null,"work_id":"52197b7d-2dba-4ff2-96da-54153d7b8fe6","year":2012},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:32.952655Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:0117b7149c0d24809b5ce49f6a8560b4aa62a78b79600681df90ae5aea0c2994","observation_id":"a3f210dc-bab7-463c-8916-ef17421971ff","resolution":{"observed_at":"2026-08-06T13:23:38.004459Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:37.651003Z","title":"A., & Chuang, I","venue":null,"work_id":"87560608-086c-44a7-ac12-8b592b6390f7","year":2010},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:33.092146Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:b67ecd11687b18b7ab3dbb2e1e26d398bca897f00c3c9142b9343409d9b5e2bc","observation_id":"4e7e83e0-ead4-46fd-b711-ff4f41c98828","resolution":{"observed_at":"2026-08-06T13:23:37.759768Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:37.397128Z","title":"A., & Johnson, C","venue":null,"work_id":"bcb4fefb-dda5-43c8-bb6a-2144f513ac20","year":2012},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:33.247517Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:7ccbd7762c7ce6d51e9070378e30fdaabf1fbbfac8d183e07a7914dc973527d9","observation_id":"d4895eb9-4b95-4330-93eb-6c0dbeed6d1e","resolution":{"observed_at":"2026-08-06T13:23:37.523334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:33.414121Z","title":null,"venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:33.414121Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:17eb7f011c79def0290a7469478f859122442c65ece3f2ddeb4b9f037b8a5df7","observation_id":"ef618890-c007-4859-b688-6b672cb4c2b2","resolution":{"observed_at":"2026-08-06T13:23:33.414121Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:37.185725Z","title":"A., & Levinson, N","venue":null,"work_id":"cdbded4b-1b8f-44e6-b0a1-633305ea54c7","year":1955},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:33.617613Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:c93a12af1d235246057bfffdbe186a6dda76f4456c144f34f556bbd046f03cf1","observation_id":"71662e37-24e6-4a91-b55a-132d907d4649","resolution":{"observed_at":"2026-08-06T13:23:37.283901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:36.939469Z","title":"M., & Milburn, G","venue":null,"work_id":"f566b9bf-18b7-415e-9336-636c950f2332","year":2009},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:33.792693Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:dc95065c9f061c49944605276a08d887f9709c31e36166f40aee9adfac46f4e7","observation_id":"c3d843db-1cb5-4e68-a3ad-3e18c2d26ea2","resolution":{"observed_at":"2026-08-06T13:23:37.053251Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:36.732840Z","title":"N., Ashhab, S., & Nori, F","venue":null,"work_id":"824da671-59d3-499e-b87a-6c6886990d6b","year":2010},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:33.845485Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:d1798fa1fe7d3afc2919e282bc63129ad4ee87cd6cf785b016341f1776e59830","observation_id":"1773f554-a6e4-4825-bea4-939e1cb6942f","resolution":{"observed_at":"2026-08-06T13:23:36.821745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:36.525956Z","title":"A., & Ros, J","venue":null,"work_id":"1887ffe2-a7bf-4d14-abb2-c9d474303069","year":2009},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:33.958588Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:2c8144173f211ad325bd5722054a65143cf794f0c7f42b66e5821fcca5597f92","observation_id":"b01162c4-88d2-4f80-9473-6cdafbab9ce9","resolution":{"observed_at":"2026-08-06T13:23:36.619934Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:36.350877Z","title":"V., Fleischhauer, M., Shore, B","venue":null,"work_id":"faa14b33-04c1-4703-80df-613c570e14be","year":2001},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:34.060663Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:492ad41f863a170db883e91d70a160bd1164171f4d9ebc718b0d796fa54eb271","observation_id":"d5fa43cc-09bb-4243-ac53-e2874503b341","resolution":{"observed_at":"2026-08-06T13:23:36.418382Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:36.190579Z","title":null,"venue":null,"work_id":"c78c0955-6001-4c14-9a58-5f9423b68633","year":1932},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:34.161882Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:087b017ace2ffac70b5c1357ce8321580369bc3f66013a9980c350c8f49f49f1","observation_id":"a5b7a1fc-7e8f-4ef5-a01f-780f48560e36","resolution":{"observed_at":"2026-08-06T13:23:36.247555Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:36.036469Z","title":null,"venue":null,"work_id":"a3e42068-164c-4c0c-82d6-25a845f74e7e","year":1932},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:34.245437Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:cd5dbb7f0d19b60f4af29bbcc3b09d337790dd1a760b039fa70015b8579399ac","observation_id":"22080dde-8d18-4b08-ad9f-3867cb72d10e","resolution":{"observed_at":"2026-08-06T13:23:36.111049Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:35.883418Z","title":"J., & Napolitano, J","venue":null,"work_id":"3a0d6165-5216-4f57-af5f-2133291a7a99","year":1995},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:34.337740Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:3dcb6bdcd031634b6c0f496420941701e5cdbf1b23fc60128b9f2970d93fc05b","observation_id":"78b81b41-2323-4b23-8649-6556360a3c30","resolution":{"observed_at":"2026-08-06T13:23:35.949009Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:35.731244Z","title":null,"venue":null,"work_id":"0508fe3f-be55-4c86-9aa8-d16ef6b60210","year":1977},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:34.461095Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:2d05defd8742c758c34a4c39523db8c171cc60f0f2fd8bf321a9f52be0243f03","observation_id":"41794954-d45a-4636-a577-ab30900fe0b1","resolution":{"observed_at":"2026-08-06T13:23:35.813709Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:35.544816Z","title":null,"venue":null,"work_id":"05c9d9e2-cb4b-4656-a539-8deee307bfe5","year":2018},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:34.558063Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:9b7dcd271077253fddd964288502926b5483630db1914b7554f824d88e33980b","observation_id":"44bf0fe3-9f77-4c2a-b93c-91a9584a43f5","resolution":{"observed_at":"2026-08-06T13:23:35.664055Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:35.361259Z","title":"Cohen-Tannoudji, B","venue":null,"work_id":"7444263a-5594-4b8d-a064-5a9270ef7ad2","year":1977},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:34.637613Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:cb1c03a7a7964772b97e92f4c481345fe3932847bfea22b755c05c52a4f24c5e","observation_id":"8ef49849-ce4e-4dcb-b2b8-449c5f0a2e9b","resolution":{"observed_at":"2026-08-06T13:23:35.433816Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:35.153904Z","title":"Adiabatic quantum computation,","venue":null,"work_id":"a6f0fde2-8bc8-4a9b-a498-230e119c14fc","year":2018},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:34.714469Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:b7b614ced2b4dad4e763c9b57e85b0d4ead8d34f20c5ec823ffc020a854373aa","observation_id":"eb571b3d-6f36-4939-9f73-9c670256bd41","resolution":{"observed_at":"2026-08-06T13:23:35.242498Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0001106","last_updated":"2000-01-28T22:12:03Z","snapshot_observed_at":"2026-07-07T07:02:58.841967Z","submitted_at":"2000-01-28T22:12:03Z","title":"Quantum Computation by Adiabatic Evolution","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0001106","snapshot_observed_at":"2026-08-06T13:23:34.802475Z","title":"Quantum computation by adiabatic evolution,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:34.802475Z"},"links":{"cited_paper":"/paper/quant-ph/0001106","citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:4e0f34b9a76e48167dfd2d70f48c8984bc2754b26a18679017fcf06b554e8657","observation_id":"ab800aa6-f0b5-4919-a5a3-eeb3e9eaef4e","resolution":{"observed_at":"2026-08-06T13:23:34.802475Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T13:23:35.025177Z","title":"Messiah, Quantum Mechanics, Vol","venue":null,"work_id":"3a753b66-3d51-48d9-b2c9-e9ed8f626905","year":1962},"citing_paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T13:23:34.902105Z"},"links":{"citing_paper":"/paper/2507.20742"},"observation_digest":"sha256:f084bf822567227d4c1c921c0b7d404a316eddeeb60c734b41bca506c6530060","observation_id":"6d7a2e4d-9f87-4d75-a5c8-ae872a3ddf18","resolution":{"observed_at":"2026-08-06T13:23:35.089081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.20742","last_updated":"2025-07-28T11:49:34Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-14T09:50:49.527581Z","submitted_at":"2025-07-28T11:49:34Z","title":"Continuity Norm Framework for the Evolution of Nonsingular Matrices"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":0,"verified_fuzzy":13},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2507.20742."}