{"as_of":"2026-08-13T01:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2b627a08a7c75e570bd5d144762f8a31d41bbc2f65c7a266c53c5ad988afad41","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-22T22:07:39.285787Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T13:54:10.025614Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-05-22T22:12:11.584543Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"cited_work":{"arxiv_id":"2504.01579","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.01579","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Conditions for Unitarity in Timeless Quantum Theory","venue":"quant-ph","work_id":"d26bfd75-f512-4bfd-8061-b162471f49d3","year":2025},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"cited_paper":"/paper/2504.01579","citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:ed7a0dfa4c60f24b589cfe152a9d0384ed08b73a8d1927b4c1ec6160ee1e3d35","observation_id":"39c687e7-1376-4191-bd6f-a7828b339f7c","resolution":{"observed_at":"2026-05-22T22:12:11.586946Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"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":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"cited_work":{"arxiv_id":"2504.01579","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.01579","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Conditions for Unitarity in Timeless Quantum Theory","venue":"quant-ph","work_id":"d26bfd75-f512-4bfd-8061-b162471f49d3","year":2025},"citing_paper":{"arxiv_id":"2604.02228","last_updated":"2026-04-27T15:31:30Z","snapshot_observed_at":"2026-08-03T15:45:51.967365Z","submitted_at":"2026-04-02T16:22:27Z","title":"Gravitational null rays: Covariant Quantization and the Dressing Time","version":2},"reference_index":156,"source":"pdf_text","source_observed_at":"2026-05-13T21:17:19.453381Z"},"links":{"cited_paper":"/paper/2504.01579","citing_paper":"/paper/2604.02228"},"observation_digest":"sha256:7f12f3f9e39d412e86fb8da6a75c7edb00f7582b28c5d7fe947075f76bd9533b","observation_id":"5f67b1d3-9c6b-4bec-9885-b1a7efc1d19c","resolution":{"observed_at":"2026-05-13T21:18:16.967853Z","resolver_source":"local_arxiv","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":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.01579","snapshot_observed_at":"2026-08-05T13:54:10.025614Z","title":"Conditions for Unitarity in Timeless Quantum Theory","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.03736","last_updated":"2026-08-04T14:30:28Z","snapshot_observed_at":"2026-08-07T23:12:22.332574Z","submitted_at":"2026-08-04T14:30:28Z","title":"Preserving Symmetry: Spontaneous Symmetry Breaking through Decoherence","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T13:54:10.025614Z"},"links":{"cited_paper":"/paper/2504.01579","citing_paper":"/paper/2608.03736"},"observation_digest":"sha256:043bef7f91f522848cb2258567ee131c1674c1be7b3ec4288348dab7d3df93e6","observation_id":"5249ddb4-c975-4ee2-8888-7dc23f4f9ac5","resolution":{"observed_at":"2026-08-05T13:54:10.025614Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2504.01579/citation-record","integrity":"/paper/2504.01579/integrity","json":"/paper/2504.01579/citation-record.json","paper":"/paper/2504.01579"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"cited_work":{"arxiv_id":"2504.01579","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.01579","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Conditions for Unitarity in Timeless Quantum Theory","venue":"quant-ph","work_id":"d26bfd75-f512-4bfd-8061-b162471f49d3","year":2025},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"cited_paper":"/paper/2504.01579","citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:ed7a0dfa4c60f24b589cfe152a9d0384ed08b73a8d1927b4c1ec6160ee1e3d35","observation_id":"39c687e7-1376-4191-bd6f-a7828b339f7c","resolution":{"observed_at":"2026-05-22T22:12:11.586946Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"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":"improper","venue":null,"work_id":"c6d0313a-f238-45d4-8172-3a5991492ced","year":null},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:b819030c33d14dd744fe8b4ed8d73d6d238bd77dc8e8b3365ab6d28d2707ff6b","observation_id":"4f75b539-b39a-4c27-8916-2c3c10c0c550","resolution":{"observed_at":"2026-05-22T22:12:12.641483Z","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":"22176071-6233-4d62-8422-9a4aebd33b85","year":null},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:40aba5525e1c1e63c19e51742cc2322d3be46a9997aef90140c55a6d49ec0652","observation_id":"aeb972fc-4394-4051-83b5-76cf8654e524","resolution":{"observed_at":"2026-05-22T22:12:12.614399Z","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":"(8) and (9) hold (excluding the patho- logical constraints discussed in Appendix D)","venue":null,"work_id":"46bf83f2-0150-4c1c-b662-1163cf8fec9b","year":null},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:8432a015f2bb7d656a4f88e160cae290ff9227889520a223f204390649995219","observation_id":"65958ffe-f9f3-44f0-a6bc-20f3b864eb4a","resolution":{"observed_at":"2026-05-22T22:12:12.617939Z","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":"This characterizes the types of Hamiltonians of the Uni- verse that lead to a unitary dynamics from both the mathematical and the interpretational point of view","venue":null,"work_id":"f877094d-4c62-4686-a3b6-e4b87e7eadb0","year":null},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:d41c81b57f5562c6af423db8a5044185c80f00d337af14f1051d17d85f46fe07","observation_id":"315019cd-094f-4068-a3b8-7c0013e35108","resolution":{"observed_at":"2026-05-22T22:12:12.673747Z","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":"e0fa8ff1-0f23-4855-bcd6-a586d4e51ff8","year":2011},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:25e6f8090c0f6c0259d5a599e89f70170eee6bd83417687d6d4681d99e8f1a09","observation_id":"97a2cac3-26da-4511-9158-a397fef9387d","resolution":{"observed_at":"2026-05-22T22:12:12.676451Z","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":"eb21d4eb-2b4c-4b35-aa61-c859f245c55a","year":1993},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:38872dd5f57948c9690c66e9ad23b92bcd9cb9090e32cb35a5ad49e7e6e57824","observation_id":"2954fe32-8a1e-4fb8-985f-7e8acfe25015","resolution":{"observed_at":"2026-05-22T22:12:12.682384Z","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":"Anderson,The Problem of Time , Fundamental Theo- ries of Physics, Vol","venue":null,"work_id":"ae1a8b5f-e130-4f4d-8318-4aec6398188c","year":2017},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:86f56021016b1525e7695dd973176b1e5a15078e3e3fec1a6d28c7355aa91dfc","observation_id":"0afd1ca6-5da3-4e0a-b6cc-cdb93ba432d8","resolution":{"observed_at":"2026-05-22T22:12:12.696676Z","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":"73d3aa4b-1e82-415b-bf63-f25e14b857dd","year":1983},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:422291ba06b556f070ca70e11f51aee81dadf098461b1018db0273d4a018f2d6","observation_id":"b87bfb4b-19e3-4468-950b-bf8280574165","resolution":{"observed_at":"2026-05-22T22:12:12.700182Z","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":"Deutsch, in Quantum concepts in space and time , edited by R","venue":null,"work_id":"e400e7c6-cab5-449d-b68f-17ef2ee8679a","year":1986},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:c3444c76a9f142926d44dc4e60bcbe47b3c895848997bad2e0cb0b0a30b84e03","observation_id":"32d9ef6c-0944-42e0-8830-212b3866784f","resolution":{"observed_at":"2026-05-22T22:12:12.631195Z","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":"0b9d47ab-769c-4dc6-8d92-10138be353d4","year":2021},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:b0691be5c5e2837244d2add5b00ade9fd37733d497a13040e07761e996c58e8c","observation_id":"17ad40d0-62f8-4cb7-ba95-50bd30e17c8b","resolution":{"observed_at":"2026-05-22T22:12:12.702861Z","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":"Giovannetti, S","venue":null,"work_id":"f0b5e5ec-a429-4062-bdbd-9910b4dd83fc","year":2015},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:6a4c981116db2279272b65d5fce5a53a71a5518a8199baa9aa2a62b99eb42d65","observation_id":"29e7b0a4-4215-4727-96e2-e45ed6a92e13","resolution":{"observed_at":"2026-05-22T22:12:12.634746Z","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":"860cc1d3-7382-42c6-921d-9217d4af2de4","year":2019},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:9b1a22791f98acf4cc55dbd6cbab78608d9f4a7f2bacffd72095a9c9404a5143","observation_id":"09244406-ae10-4052-bf09-44e227a5a48e","resolution":{"observed_at":"2026-05-22T22:12:12.687901Z","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":"fe988680-ca6a-455b-a168-d105617291be","year":2020},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:9df33f2d141eac08215830a9abe2d0869e16761df9f7b058c97d0715c0b721ac","observation_id":"ee5a5dfb-4ca6-4522-bd0d-148f9e122ee5","resolution":{"observed_at":"2026-05-22T22:12:12.690780Z","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":"Castro-Ruiz, F","venue":null,"work_id":"c7529f3e-41b8-4045-b72c-74332e95325e","year":2020},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:0a35ce26a7f1b5c6ae944bfa03a2a45ddee4ce3477f594e6247c2e210a51c76f","observation_id":"a4968cf6-bc97-4615-a292-ad29fc4de53d","resolution":{"observed_at":"2026-05-22T22:12:12.685116Z","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":"2107.11452","last_updated":"2021-07-23T20:34:04Z","snapshot_observed_at":"2026-07-06T11:32:02.888719Z","submitted_at":"2021-07-23T20:34:04Z","title":"Non-linear equation of motion for Page-Wootters mechanism with interaction and quasi-ideal clocks","version":1},"cited_work":{"arxiv_id":"2107.11452","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2107.11452","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"95463681-89d3-4d34-911d-ca94fd834aef","year":2021},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"cited_paper":"/paper/2107.11452","citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:a333fa98febddfe8fb44c2c5f8d2534a3a6522962113320d0537f2769bfe2ae9","observation_id":"4969d0c2-5dc7-4731-9f64-7c6778bb1a81","resolution":{"observed_at":"2026-05-22T22:12:11.577683Z","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":"2304.01263","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Singh and O","venue":null,"work_id":"961041b8-4a42-4a77-830b-76a2e3ef3be2","year":2023},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:3dbbd0665713bb7a7e5e66ea81b161b7f1ec9e90b74ef0aae0689fe8ec287144","observation_id":"d4491d2b-8eab-427d-bc97-68c983ef9637","resolution":{"observed_at":"2026-05-22T22:12:11.582389Z","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":"Rijavec, Phys","venue":null,"work_id":"f466e0af-7879-4e72-a7c5-7cfb4e59a215","year":2023},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:4f0e648923ca52a6cbf6963d88067f3974e1d1dc64075e036884a365b1b1074f","observation_id":"7515b56b-a1a6-4e88-b02e-344fa8a6b6eb","resolution":{"observed_at":"2026-05-22T22:12:12.664582Z","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":"Gemsheim and J","venue":null,"work_id":"5b735bd2-c4c8-44fd-8439-60eee04c4ce0","year":2023},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:cc9187e25759f35a62bdb395e7753534fccbd37040ccaf04ffbaca1c14a99a4c","observation_id":"e1600cd3-c692-4260-afa0-cb224c461d98","resolution":{"observed_at":"2026-05-22T22:12:12.659157Z","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":"2304.04281","last_updated":"2025-04-24T16:09:19Z","snapshot_observed_at":"2026-07-06T15:13:48.035348Z","submitted_at":"2023-04-09T17:02:51Z","title":"Time dilation of quantum clocks in a relativistic gravitational potential","version":7},"cited_work":{"arxiv_id":"2304.04281","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.04281","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Favalli and A","venue":null,"work_id":"e2d083f3-9edc-4fca-ad50-72a3e4f7cfd8","year":2025},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"cited_paper":"/paper/2304.04281","citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:9ed4d21335c9095845e2e82c5e4128bd46720052f1c8d34f450052b79841a531","observation_id":"00e7acbf-e2d3-4152-ac31-e64600b94a36","resolution":{"observed_at":"2026-05-22T22:12:11.591864Z","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":"2406.14642","last_updated":"2025-07-24T14:12:40Z","snapshot_observed_at":"2026-07-06T18:34:29.513732Z","submitted_at":"2024-06-20T18:07:16Z","title":"Measuring time in a timeless universe","version":3},"cited_work":{"arxiv_id":"2406.14642","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.14642","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Measuring time in a timeless universe","venue":"quant-ph","work_id":"cef070b4-a247-422b-bbdd-97244b3a6f36","year":2024},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"cited_paper":"/paper/2406.14642","citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:37f397b68d866dfced0fe467dd16488962c789979c1d365c80800d4886499a7b","observation_id":"d64f14db-6b89-40f9-97a1-7388bd79d4a3","resolution":{"observed_at":"2026-05-22T22:12:11.596464Z","resolver_source":"local_arxiv","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":"Cafasso, N","venue":null,"work_id":"cc638116-6f74-47f5-a007-18ce12d9175a","year":2024},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:7d91801f877e5d359fe576a771a4ba55935edb4f1d22bd5f8a43eb0df5f75cd6","observation_id":"38722452-150c-44d1-b230-ec989ce215c0","resolution":{"observed_at":"2026-05-22T22:12:12.637946Z","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":"e1521945-e444-45be-a622-0f2fa47d79fb","year":2022},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:1e7abeda74a20cfc4ee34e1ea8eee93b75944d740a04a77064fc02dbc9a178b3","observation_id":"0fe3dece-44da-43e9-bd33-dac2921428ec","resolution":{"observed_at":"2026-05-22T22:12:12.655973Z","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":"a651cd2f-23d1-4d66-8b91-15d98494cce9","year":2022},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:7c6d4417307dd022105c233679b6ff7b441b8b8546ad2d313fc1848f488bd09e","observation_id":"33781004-9791-4513-8bed-068f1e126f28","resolution":{"observed_at":"2026-05-22T22:12:12.620735Z","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":"Brukner, Y","venue":null,"work_id":"c6682ed3-94a3-4756-8366-d405c8d479bb","year":null},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:d61d20ec435da1a353a32b362c521fcadb1e5444dea4b1dcc5441a99603bf5a5","observation_id":"95affd02-e6a9-4718-9974-aff56045adbf","resolution":{"observed_at":"2026-05-22T22:12:12.652775Z","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":"Castro Ruiz, F","venue":null,"work_id":"70f7ca27-89f4-41d2-ad1c-59baec66da2c","year":2017},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:629242fd5f75b29e08b597f0eacf1f5531f26e0975fda6204c63b87af92ce6ef","observation_id":"b373dfad-77e7-4584-953f-b7f547697928","resolution":{"observed_at":"2026-05-22T22:12:12.661709Z","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":"9602b1ff-592f-4186-8bdf-269e0a423e14","year":1967},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:ed67d66a9521c35ef85db8ae65f21d36b78ce3c82da0055e164aeafb6ffa8f2a","observation_id":"b78beaff-7102-4d1c-9c65-b625a6bdccd6","resolution":{"observed_at":"2026-05-22T22:12:12.679521Z","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":"75bbd61c-feb4-43ec-95f2-3a66fe18e5d2","year":1964},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:fe30ed9661725ce660ae697df0058bf47a01a7401fd6148722a1e1456308dd77","observation_id":"9a24bbdf-6d62-4772-b175-a5cc86c0341f","resolution":{"observed_at":"2026-05-22T22:12:12.693731Z","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":"Everett, Rev","venue":null,"work_id":"2f0d3709-8332-47d0-93cc-203aa83612ba","year":1957},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:bf40bc440d80b0ba910bcc88f3f4462e0d6663aa398159746104570fbe3e684e","observation_id":"e6444941-c850-4c15-a211-a231b0794893","resolution":{"observed_at":"2026-05-22T22:12:12.670408Z","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":"Kuypers, Proc","venue":null,"work_id":"7ef6bc03-e5b4-487a-a4a7-eee529f21bdb","year":2022},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:eaa7517c20c6fa50d95433fc4297934104f4955f1a2d2ed130f68c26b6117da7","observation_id":"f662108b-2ced-448f-9caa-8f8fd85f7634","resolution":{"observed_at":"2026-05-22T22:12:12.646921Z","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":"8b1c2d34-1076-4e01-bcba-e8fc91e92f93","year":2019},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:253a4628b7110912d8b6e1c54b00e0f938b43983f77e101e8fc2ad141a14f106","observation_id":"43bcdaef-2dfb-430b-bf59-1872020ba839","resolution":{"observed_at":"2026-05-22T22:12:12.644237Z","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":"22082b39-fcc4-4244-b895-8d51d3e97990","year":2021},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:23aeea78a7daadaa99260be4625ee3d9fd74e69be54ed9767521260cc9ec90ac","observation_id":"b8ebf5f8-46c0-4c35-8531-3380c9c267e0","resolution":{"observed_at":"2026-05-22T22:12:12.649561Z","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":"Hausmann, A","venue":null,"work_id":"d384b364-0d4a-491e-8ed5-10288431bb3a","year":2025},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:8b0759f7f669dc6923c7afecce6b613d69cfdda45e23e1bd0599c2b79f649a28","observation_id":"d46c6693-f495-4a02-9a5e-fa21eb2c92a5","resolution":{"observed_at":"2026-05-22T22:12:12.624079Z","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":"ce934f42-052c-4ced-b6fb-748c903061d6","year":2024},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:99590c05245f7df0d9252916d011d871d04cc3f62d73e0662bfd72f404887f84","observation_id":"d9edd35d-ed56-44e1-9a02-f8f3708de058","resolution":{"observed_at":"2026-05-22T22:12:12.627718Z","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":"(F6) Now, consider the followingself-adjoint constraint ˆC ′ := ˆHC − ˆP (0)( ˆTC) ˆHC ˆP (0)( ˆTC) + ˆXR( ˆTC), (F7) where ˆP (0)( ˆTC) = ˆ1U − ˆP (+)( ˆTC)","venue":null,"work_id":"386d750a-464d-4a8c-9477-35ec00ba6f05","year":null},"citing_paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-22T22:07:39.285787Z"},"links":{"citing_paper":"/paper/2504.01579"},"observation_digest":"sha256:72e602713ee88e0eefd250399a2283a33c1ea047cd985940b4156daf46010287","observation_id":"12399341-a7b4-4fd5-9a30-873e5b094419","resolution":{"observed_at":"2026-05-22T22:12:12.667559Z","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"}}],"paper":{"arxiv_id":"2504.01579","last_updated":"2026-04-12T09:03:22Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-07-06T21:02:56.962346Z","submitted_at":"2025-04-02T10:31:25Z","title":"Conditions for Unitarity in Timeless Quantum Theory"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":14,"verified_exact":4,"verified_fuzzy":16},"total_outbound_references":35},"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 13 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 3 inbound Pith citation observations for arXiv:2504.01579."}