{"as_of":"2026-08-13T10:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:02ed6cebf7436012b5b437492465bb80aeca8048fe9e54e610f55f06c8a24fdd","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T20:08:46.321196Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2607.28024/citation-record","integrity":"/paper/2607.28024/integrity","json":"/paper/2607.28024/citation-record.json","paper":"/paper/2607.28024"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-31T20:08:46.216497Z","title":"A compositional approach to quantum functions , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.216497Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:b8f050f11ccc019f774030158dd518a96d072a94b2ab170dac806cd4db6c85bd","observation_id":"a31002ae-cb45-4d60-9a43-12103700abe7","resolution":{"observed_at":"2026-07-31T20:08:46.216497Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2603.23651","last_updated":"2026-03-24T18:51:14Z","snapshot_observed_at":"2026-07-31T06:20:13.101193Z","submitted_at":"2026-03-24T18:51:14Z","title":"Quantum Graph Theory by Example","version":1},"cited_work":{"arxiv_id":"2603.23651","doi":"10.48550/arxiv.2603.23651","metadata_source":"pith","pith_arxiv_id":"2603.23651","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Quantum Graph Theory by Example","venue":"math.OA","work_id":"e4e2ba8e-2192-4dfb-a115-92f3d07b2073","year":2026},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.220567Z"},"links":{"cited_paper":"/paper/2603.23651","citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:2502098f6ddcd7f2380c35838df5f56017f1ff7a5113eccd9a57c81aef6ad2b3","observation_id":"650dd32b-ca7d-4e4a-8546-b5919769f876","resolution":{"observed_at":"2026-07-31T20:11:02.759438Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-31T20:08:46.223851Z","title":"Swift , keywords =","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.223851Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:d86166c3337e6d503d889725f5b5937b793c86ade74559a3c2f877fcaac698a2","observation_id":"5f1cc78f-8949-4bb7-95cf-78d6dae1fa19","resolution":{"observed_at":"2026-07-31T20:08:46.223851Z","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":"2026-07-31T20:08:46.226291Z","title":"Theory of quantum error-correcting codes , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.226291Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:07e8bb28025acb6128a3d0c7511b18d9ec83d76fefac14cdb91e9826492e0976","observation_id":"9b169305-d2f7-4b5d-8266-9e05fc8a0186","resolution":{"observed_at":"2026-07-31T20:08:46.226291Z","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":"2026-07-31T20:08:46.228940Z","title":"Connectivity for quantum graphs via quantum adjacency operators , doi =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.228940Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:d10d8e89bdc273c808c22e52e16514d903ef1fb1a9b916809040e93862bded2e","observation_id":"6e69bc17-d7ae-4887-9ea0-6d8335fe65cd","resolution":{"observed_at":"2026-07-31T20:08:46.228940Z","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":"10.1007/s00220-024-05046-y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Communications in Mathematical Physics , author =","venue":"Communications in Mathematical Physics","work_id":"b7d5bbc3-77d0-4ba4-87f9-f53a65255eac","year":2024},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.231468Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:b87888cea408443306e84fe507511a74c7142c8db33471984f9045b43f78805b","observation_id":"9a0bffda-195d-4654-b96f-52cde9ff35d7","resolution":{"observed_at":"2026-07-31T20:11:02.328521Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-31T20:08:46.234254Z","title":"Journal of Mathematical Physics , volume=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.234254Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:49ab6c9b6c5abacea62c356ed79af8aca55fb208f31de4111f1bdef208cd8bdc","observation_id":"af0e1aba-a7a1-4776-8120-67371401e8b8","resolution":{"observed_at":"2026-07-31T20:08:46.234254Z","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":"2026-07-31T20:08:46.236824Z","title":"Communications in Mathematical Physics , volume=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.236824Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:fa649d63ab34f905e6e69b71cd139ff7b9f24650e4fb103fd283aea6c3381e82","observation_id":"a1120ec3-e414-4bcb-aabf-5b1651da263d","resolution":{"observed_at":"2026-07-31T20:08:46.236824Z","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":"10.1016/j.laa.2023.06.007","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Spectral bounds for the quantum chromatic number of quantum graphs , volume =","venue":"Linear Algebra and its Applications","work_id":"96c788da-1923-4dbb-ad14-842f2827e9a0","year":2023},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.239474Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:683c840e6c314b09ce3eb7e88e5921558899ac00f042528194ceb98f8e1f6e5b","observation_id":"6a9305ed-0be8-40ab-ad08-47d826de747e","resolution":{"observed_at":"2026-07-31T20:11:01.992471Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-31T20:08:46.242567Z","title":"Categories for Quantum Theory: An Introduction , url =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.242567Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:4c6c451331fc934fd917f68ef5732670261050400339f337baf9d748cd6e851d","observation_id":"b12c9cca-3269-4fed-b902-1fb22748a192","resolution":{"observed_at":"2026-07-31T20:08:46.242567Z","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":"10.1007/s00220-010-1138-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Categorical Formulation of Finite-Dimensional Quantum Algebras , volume =","venue":"Communications in Mathematical Physics","work_id":"9bcc0568-1ddd-4034-8911-9f354cf88da4","year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.245074Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:d3e2602d538a3378210461f6f5f92223d687c83a06be9772fa1ff2275ff0a5bc","observation_id":"9e84e933-abe4-4433-ae8f-11b7d13f34ae","resolution":{"observed_at":"2026-07-31T20:11:01.724121Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-31T20:08:46.247666Z","title":"A new description of orthogonal bases , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.247666Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:80c0888c01c493ce2e091329cd0a40e3ce04563832e372cc8aeadfaf29ea596b","observation_id":"84b89641-9232-4c39-b69e-860ea1e3698e","resolution":{"observed_at":"2026-07-31T20:08:46.247666Z","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":"2026-07-31T20:08:46.250265Z","title":"Journal of Mathematical Analysis and Applications , volume=","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.250265Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:58f5b0b200cefe0d5c2e58cf02492a96fc214a5d44f4b1139965b6255741d9f8","observation_id":"9cfeeb46-f3e8-49bd-be53-5416a5fd63a6","resolution":{"observed_at":"2026-07-31T20:08:46.250265Z","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":"2026-07-31T20:08:46.253059Z","title":"The Blind Spot: Lectures on Logic , shorttitle =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.253059Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:616c272632fe9b4f7338b6faf316e33a9d1bb88f1faaa0a6b49b9f0bb0ab2f22","observation_id":"ee6ab1fb-c268-44f8-9d9a-606093b164e4","resolution":{"observed_at":"2026-07-31T20:08:46.253059Z","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":"2026-07-31T20:08:46.255227Z","title":"Communications in mathematical physics , volume=","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.255227Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:6f0aa57c8c6510cb606a39be5a4cfb25fdac7b09c3ed255c248135fab028d577","observation_id":"f305aaf0-4f91-456b-82cc-a0ac360ae83c","resolution":{"observed_at":"2026-07-31T20:08:46.255227Z","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":"2026-07-31T20:08:46.257576Z","title":"Pacific Journal of Mathematics , volume=","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.257576Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:72a7ce536912801b6968a01b97ee190d7c18add6bbad4bf12a8533c78d01d621","observation_id":"98a6b028-1303-4257-be90-c84126147258","resolution":{"observed_at":"2026-07-31T20:08:46.257576Z","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":"2026-07-31T20:08:46.259957Z","title":"Quantum relations , doi =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.259957Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:adf9773a80dfab44831bf810245da9ca0e738f2ab6d286bf1f0dc3c64b9d0f3b","observation_id":"385feb77-c00b-4d5e-aca8-50ef1903d431","resolution":{"observed_at":"2026-07-31T20:08:46.259957Z","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":"10.1090/proc/13606","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"doi:10.1090/proc/13606 , journal=","venue":"Proceedings of the American Mathematical Society","work_id":"eee145ab-cc1b-424a-81d8-4d9e2f1397f3","year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.262422Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:a8d2abd5240b00e1cd0f1f0ad8d4066a360269ee31f86092dd8bf81e91118d33","observation_id":"414d3898-b0f3-4539-8876-6384ebc63d0a","resolution":{"observed_at":"2026-07-31T20:11:01.484327Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-31T20:08:46.264784Z","title":"Allen and Andre Kornell , title =","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.264784Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:8a9f774a86f25b19b9fb43aacd2ec1d0e60af8036cbcc3376b34c6f38915b2d5","observation_id":"9af080d8-8ac0-45e9-9250-c7530709f9df","resolution":{"observed_at":"2026-07-31T20:08:46.264784Z","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":"10.1007/s12220-020-00578-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Journal of Geometric Analysis , author =","venue":"Journal of Geometric Analysis","work_id":"d6ab0f76-77d2-4d1e-9c05-4874450e7093","year":2021},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.267307Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:697fd18e548032dd7c62638175f6263b78d6a2967a9780f0458e726deeb22a2b","observation_id":"d649ddcb-ccef-4511-be7b-2ee7f3312f8b","resolution":{"observed_at":"2026-07-31T20:11:01.154703Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.22331/q-2026-01-14-1964","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Quantum games and synchronicity , volume =","venue":"Quantum","work_id":"c303ac49-14b8-4cba-8dbf-e225c5ca1a82","year":2026},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.269700Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:09fb376a36db1771bda88837362eea3a98a66d09dd20ec074e21b67c83c8c7c0","observation_id":"040f6da8-32ff-4b17-b1f7-9d426ed7fb00","resolution":{"observed_at":"2026-07-31T20:11:00.845110Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-31T20:08:46.272492Z","title":"IEEE Transactions on Information Theory , author =","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.272492Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:90e5a289a9887281a6075e16bee36dd7fcdbf15a0c1aadb687e277d7c056bcfd","observation_id":"1bfbdecf-71f3-4f6e-aa44-fc50bef86208","resolution":{"observed_at":"2026-07-31T20:08:46.272492Z","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":"2026-07-31T20:08:46.275185Z","title":"The Logico-Algebraic Approach to Quantum Mechanics: Volume I: Historical Evolution , pages=","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.275185Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:5e29d9476775675792abc6335995f84b2323a6b1afcbbfd3e05846ed5ba49e8e","observation_id":"fc5cae50-db85-49db-83a3-480b5b3648cf","resolution":{"observed_at":"2026-07-31T20:08:46.275185Z","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":"2026-07-31T20:08:46.277553Z","title":"Indagationes Math , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.277553Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:1730b798000260264db63dbd81a687b909809b99272fe12699c17e7eca61bf6f","observation_id":"1fbfa6e6-81d1-4882-a536-285bf2d6bd6e","resolution":{"observed_at":"2026-07-31T20:08:46.277553Z","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":"2026-07-31T20:08:46.280248Z","title":", journal=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.280248Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:d829b35f8533b9b764a23caf467c2f6944c2debbc69486fd984c0feb5045983c","observation_id":"8496b0e3-58b0-4004-a377-8afc7ef242d3","resolution":{"observed_at":"2026-07-31T20:08:46.280248Z","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":"10.1137/19m1299128","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"SIAM Journal on Computing , author =","venue":"SIAM Journal on Computing","work_id":"597a9fa8-d74c-455e-bb1d-9e765c6f1bc0","year":2021},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.282439Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:db179b6f20ef1ee83432261f2211d88854b8c4d3cecaf27d8751856aa1a81c9f","observation_id":"b895355e-55be-446e-a7a0-ca7efaaad34d","resolution":{"observed_at":"2026-07-31T20:11:00.539622Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-31T20:08:46.284862Z","title":"Physical Review A , doi=","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.284862Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:f7e72c4c10652e76d3623ea49d529a2aa73664499b2f959799ba4ca89e01d17f","observation_id":"2c1d24f8-c133-467e-a09a-264f4bf03817","resolution":{"observed_at":"2026-07-31T20:08:46.284862Z","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":"10.4204/eptcs.340.9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Electronic Proceedings in Theoretical Computer Science , author =","venue":"Electronic Proceedings in Theoretical Computer Science","work_id":"a56ad059-f759-4ab9-8868-04d1b583d7b7","year":2021},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.287221Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:7d2c623cd1029c4092604a1964fe6c08754b49035994b916f239e745ded30a26","observation_id":"08260abd-ccf1-40a9-93cb-675a1261f77c","resolution":{"observed_at":"2026-07-31T20:11:00.286202Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4171/jncg/531","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Journal of Noncommutative Geometry , author =","venue":"Journal of Noncommutative Geometry","work_id":"63893277-fa8d-4466-9511-8696ba06fc2d","year":2023},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.289477Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:331ce30b777c70b7651bb1a5515270bc59be06cc8df39334050f8620a1e419db","observation_id":"4bb8e6b2-7ef3-4eb8-b744-fd05bf692609","resolution":{"observed_at":"2026-07-31T20:11:00.032717Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4171/jncg/533","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Journal of Noncommutative Geometry , author =","venue":"Journal of Noncommutative Geometry","work_id":"9fc967f7-2f8d-4491-9cce-8766a790dd7b","year":2024},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.292099Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:ba02404679177638a6f5ed9501f299040fb283a03a395c34f0c9376f9159081a","observation_id":"09c89b66-78ad-4498-ab89-0fe7f0bf7e10","resolution":{"observed_at":"2026-07-31T20:10:59.795493Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.5054128","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Journal of Mathematical Physics , author =","venue":"Journal of Mathematical Physics","work_id":"061f5f4b-6395-4a6a-bb40-4c3cabd13105","year":2020},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.294288Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:9191739d5a9cd0ecff70c291c5e440ff0233c4949b36612b54b99aa6ca2a5c02","observation_id":"8ca2be39-185b-4d5e-9a9b-632416bbb6f3","resolution":{"observed_at":"2026-07-31T20:10:59.599079Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-31T20:08:46.296881Z","title":"Letters in Mathematical Physics , author =","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.296881Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:16a9957ba90eda09c9129818c86a7e51bd30012681d6d7165d2ce423039512f9","observation_id":"7647cb4e-07df-404b-819d-66943c2c355a","resolution":{"observed_at":"2026-07-31T20:08:46.296881Z","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":"2026-07-31T20:08:46.299371Z","title":"Quantum graphs of homomorphisms , doi =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.299371Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:b5319df52dc4a98ddb9359615bf3e001b7cc26ac01cb76c603c205bf457c097c","observation_id":"89e52b74-2d97-422e-8830-88b767b1e067","resolution":{"observed_at":"2026-07-31T20:08:46.299371Z","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":"2026-07-31T20:08:46.301842Z","title":"1996 , doi=","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.301842Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:1c182a76cab3842b556f521e7881628f41f059b9a8f70fd507fd607a2bd5b58b","observation_id":"f5c258c2-7705-490f-8cb7-ac67bcb28b4b","resolution":{"observed_at":"2026-07-31T20:08:46.301842Z","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":"2026-07-31T20:08:46.304174Z","title":"Journal of Mathematical Physics , author =","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.304174Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:061913362bfe68c642fd868934b945ff32cc31d4aada877ae8c5fe9ff3e6bd1d","observation_id":"7d77447b-32d5-492c-a1ab-a44fdcac5bfd","resolution":{"observed_at":"2026-07-31T20:08:46.304174Z","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":"10.1007/s00220-023-04898-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Communications in Mathematical Physics , author =","venue":"Communications in Mathematical Physics","work_id":"0d9707eb-4dea-4f07-b971-853bf890ce86","year":2024},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.306770Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:ac45080efe92be13a9b47d5bbd22eabe363ca44ea2b7262d6ff5d4605af60496","observation_id":"1a1dfc86-ae6c-490a-986b-121c79140d68","resolution":{"observed_at":"2026-07-31T20:10:59.324596Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-31T20:08:46.309375Z","title":"Journal of Functional Analysis , doi=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.309375Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:925d7b8c30402f6ff882e82aacb0b3ab45ba1c940180c795bd1b760c7d899342","observation_id":"8fbfdfc8-9d6b-48b1-9eed-dff75202e5c2","resolution":{"observed_at":"2026-07-31T20:08:46.309375Z","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":"2026-07-31T20:08:46.312235Z","title":"Quantum Zero-Error Source-Channel Coding and Non-Commutative Graph Theory , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.312235Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:76bda2d544595e3af96767e73604fcb6ea740b9fd371c07347906c34730265c3","observation_id":"06d86465-fce0-41e9-9120-68214039d1ff","resolution":{"observed_at":"2026-07-31T20:08:46.312235Z","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":"10.37236/999","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Electronic Journal of Combinatorics , author=","venue":"The Electronic Journal of Combinatorics","work_id":"517a8c58-1643-4c59-b579-af0ae9ff0164","year":2007},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.314410Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:6296074798e7020bf7e4c606bbe793fa96c78dff04a9286c418e3141984e6097","observation_id":"8a49d886-0cc8-42b4-8c3a-6552beb50cbb","resolution":{"observed_at":"2026-07-31T20:10:59.077479Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-07-31T20:08:46.316751Z","title":"Journal of Combinatorial Theory, Series B , doi=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.316751Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:76592dc6f2e7a813aee58891c9138ed5bb392660c14e995f94352c5e105aa730","observation_id":"53725265-e260-4457-b0c1-ba37bc26b23b","resolution":{"observed_at":"2026-07-31T20:08:46.316751Z","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":"2026-07-31T20:08:46.319005Z","title":"and Todorov, Ivan G","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.319005Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:362613431ab50e766d84c3d364a53aeea4aba886cc6fe6aa0f71875d1eb6b08d","observation_id":"4a25cf4a-1902-419d-9f8f-9dc7bd643503","resolution":{"observed_at":"2026-07-31T20:08:46.319005Z","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":"2026-07-31T20:08:46.321196Z","title":"Communications in Mathematical Physics , author =","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-07-31T20:08:46.321196Z"},"links":{"citing_paper":"/paper/2607.28024"},"observation_digest":"sha256:2c7cf3863c14bfa08ee408ac24e1f3a6c9c3b3da9921ff2ecfff48da7db8cde9","observation_id":"36356f68-c4f3-4e0c-911a-b971ff307cb2","resolution":{"observed_at":"2026-07-31T20:08:46.321196Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.28024","last_updated":"2026-07-30T11:13:00Z","latest_version":1,"primary_category":"math.OA","snapshot_observed_at":"2026-08-13T03:46:46.830052Z","submitted_at":"2026-07-30T11:13:00Z","title":"Unification of Quantum Graph Properties"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":28,"verified_exact":13,"verified_fuzzy":0},"total_outbound_references":42},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.28024."}