{"as_of":"2026-08-10T08:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ff8ec5bd8138f2d738d577047db9ef688642f59cb967441c9520fba3f4e8fcdb","coverage":[{"denominator":159,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T15:23:40.405589Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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/2509.19772/citation-record","integrity":"/paper/2509.19772/integrity","json":"/paper/2509.19772/citation-record.json","paper":"/paper/2509.19772"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T15:23:27.940411Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:27.940411Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:fe716dd82e2a6c51b6d6c392faca96fee243b0c6b263bf144c58ddad15b5c118","observation_id":"1c0d8def-6606-4221-b802-5caf7d21f623","resolution":{"observed_at":"2026-08-04T15:23:27.940411Z","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":"2026-08-04T15:23:28.016253Z","title":"Universal quantum simulations.Science273 (1996), 1073–1078","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.016253Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:44cf87fd5da28bf4953249ce8f107e8dd38ccb963c95fcb3a8f7540417d0081b","observation_id":"8702c9f1-ee95-4dbe-85ce-75d98651fb4f","resolution":{"observed_at":"2026-08-04T15:23:28.016253Z","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":"2026-08-04T15:23:28.080233Z","title":"and Huang, Y.-t.Scattering Amplitudes in Gauge Theory and Gravity","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.080233Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:c25ffe22e02d28ef9143d4b112b8ed6d4fbf594555852a2076252774d5aa654f","observation_id":"0cda4e85-46e0-43f2-9314-ba6996e49a94","resolution":{"observed_at":"2026-08-04T15:23:28.080233Z","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":"2026-08-04T15:23:28.128386Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.128386Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:c4966e42dcff381c93166fed94ef43f5a69dcde1d1f82ee94fabe64ad64315f3","observation_id":"ae8d48da-ba9b-480c-8db2-cbcacd376517","resolution":{"observed_at":"2026-08-04T15:23:28.128386Z","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":"2026-08-04T15:23:28.227594Z","title":"P., Lee, K","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.227594Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:8c1fa4cc44d37ba0dd2da5603cda32ec3ab22267d41b5881e020f8b8cbea57c6","observation_id":"825f236f-2f2a-4ab5-a0d5-82e00dc462ec","resolution":{"observed_at":"2026-08-04T15:23:28.227594Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.04155","last_updated":"2024-11-21T08:01:10Z","snapshot_observed_at":"2026-08-08T04:59:29.558653Z","submitted_at":"2024-07-04T21:11:05Z","title":"Evaluation of phase shifts for non-relativistic elastic scattering using quantum computers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.04155","snapshot_observed_at":"2026-08-04T15:23:28.299268Z","title":"A., Quaglioni, S., Pederiva, F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.299268Z"},"links":{"cited_paper":"/paper/2407.04155","citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:ef10d6197e3f22fd07bcfdd4d7195085b4da78b9b7acffe4043eacb98346ff60","observation_id":"0ea608b8-f6ea-40ab-a792-beba2841c5ee","resolution":{"observed_at":"2026-08-04T15:23:28.299268Z","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":"2026-08-04T15:23:28.356937Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.356937Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:bdacd6600061ee7ea17b47550f51edebb2b028f41da66adde331cbb61fdc5a1b","observation_id":"34ae1503-a5bd-47ed-81b1-77d030b86b54","resolution":{"observed_at":"2026-08-04T15:23:28.356937Z","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":"2026-08-04T15:23:28.419029Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.419029Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:6341d4dcd8ae6cc301c8a63f4c5e02698415161fe39acaec4b53fbad5c1cd7a6","observation_id":"9f968c42-9d50-47b2-8eed-9082f4034903","resolution":{"observed_at":"2026-08-04T15:23:28.419029Z","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":"2026-08-04T15:23:28.479066Z","title":"and Milburn, G","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.479066Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:97b10fa996f9eb6ec6796ec88a9e273213dec0096466e1ef0ada0776a7340359","observation_id":"77f0b3c4-080e-4424-92df-6aeed62ee069","resolution":{"observed_at":"2026-08-04T15:23:28.479066Z","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":"2026-08-04T15:23:28.562330Z","title":"M., Gosset, D","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.562330Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:6b285bacc029c32a29f59b58d90e60b4db505c309f5cabcbaab747cc4075a683","observation_id":"41021556-43b7-4f34-9e8c-56a3f97958dd","resolution":{"observed_at":"2026-08-04T15:23:28.562330Z","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":"2026-08-04T15:23:28.632922Z","title":"and Thomas, N","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.632922Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:aa53cd01e3d9fcf825c53d49c5574f2936457b60e88c656fae8dcd56e4f3127d","observation_id":"879a9bc4-2b5d-4ee9-8c26-9a8eb660747d","resolution":{"observed_at":"2026-08-04T15:23:28.632922Z","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":"2026-08-04T15:23:28.690310Z","title":"Consequences of nonclassical measurement for the algorithmic description of continuous dynamical systems.J","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.690310Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:1aa321dd646b6d17e0411c9148f67a198b5c68e9a88e4f9695418114270bf6e8","observation_id":"e8b92c74-0df3-4c4c-9898-d70438ed4b19","resolution":{"observed_at":"2026-08-04T15:23:28.690310Z","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":"2026-08-04T15:23:28.775361Z","title":"When does a physical system compute?Proc","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.775361Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:602252f2f3647eb3f1a7b77f22182c9b073389f0e259884d2be26985edfb5a99","observation_id":"2f3507ec-81f9-4ec3-918d-0f5b63993567","resolution":{"observed_at":"2026-08-04T15:23:28.775361Z","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":"2026-08-04T15:23:28.866555Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.866555Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:f648ab02406814c020a905d66787bb8971abff32cde46abe1a5a0ee2b1ba1a2d","observation_id":"73ea45de-be91-4fbc-9d68-6b134743cb5e","resolution":{"observed_at":"2026-08-04T15:23:28.866555Z","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":"2026-08-04T15:23:28.940829Z","title":"and Trnka, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:28.940829Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:8700ffd0b240a2cbf222fd0616251dcd621191097bbf7415f76f34a737d863bc","observation_id":"6faa51e4-b853-4c45-8c09-abdfefbef148","resolution":{"observed_at":"2026-08-04T15:23:28.940829Z","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":"2026-08-04T15:23:29.015160Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.015160Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:e7bbb30453987d40738bde3290cbaee207f68d2ab5d9f52422b4a6fb7ed72bdf","observation_id":"4668d645-ff39-481a-8d0d-f81bdec94095","resolution":{"observed_at":"2026-08-04T15:23:29.015160Z","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":"2026-08-04T15:23:29.141934Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.141934Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:4a2dc5984e7761221d3e967141ada382ce5dd93a2aceacffd561079d1a04da63","observation_id":"62cc6c8d-f3eb-40f8-a715-b876e992ff34","resolution":{"observed_at":"2026-08-04T15:23:29.141934Z","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":"2026-08-04T15:23:29.227371Z","title":"D., Rudolph, T","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.227371Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:2255bdadd3f71815e76e6078130df567833e83f47fc902601c71fc369814a410","observation_id":"2ea4cccd-9506-465c-aad7-0eff539f89b4","resolution":{"observed_at":"2026-08-04T15:23:29.227371Z","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":"2026-08-04T15:23:29.323403Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.323403Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:3f455c8fe606bea6b25b123f3dab59b380686fb95ca88eb214bb421cf31bfa3e","observation_id":"da0e180b-5306-446f-86cb-4a6ec9ab93f8","resolution":{"observed_at":"2026-08-04T15:23:29.323403Z","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":"2026-08-04T15:23:29.403417Z","title":"Quantum theory, the Church-Turing principle, and the universal quantum computer.Proc","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.403417Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:ca4781355ad983e9b30345a5d992cc52d4bc2b9122b903de8888774afeed5c38","observation_id":"1ed9c679-3415-4c15-9248-2dd87451c0ce","resolution":{"observed_at":"2026-08-04T15:23:29.403417Z","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":"2026-08-04T15:23:29.467029Z","title":"Angular momentum: An approach to combinatorial space-time","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.467029Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:58a7f92b97d7d4018d1621b6fadc7f01bbadee334d1b69911ac5b50bf5ec6f63","observation_id":"6bd0cfbd-6343-432f-be09-ba0ae414dd58","resolution":{"observed_at":"2026-08-04T15:23:29.467029Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9702030","last_updated":"1997-02-17T02:03:44Z","snapshot_observed_at":"2026-07-07T03:27:12.065931Z","submitted_at":"1997-02-17T02:03:44Z","title":"The future of spin networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9702030","snapshot_observed_at":"2026-08-04T15:23:29.540546Z","title":"The future of spin networks","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.540546Z"},"links":{"cited_paper":"/paper/gr-qc/9702030","citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:4aa2e29ce15b61a9f334eaa9e14f6031e66daaf73685461077f7cd73f05d52a7","observation_id":"52b7b937-763d-4638-aff4-5dafc6de447c","resolution":{"observed_at":"2026-08-04T15:23:29.540546Z","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":"2026-08-04T15:23:29.605168Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.605168Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:089574bc50eee8d17612290976a65d710160928fc0f95f14f2148af5dbede479","observation_id":"e20ac1c1-0b7c-4101-81f5-8071a091dd35","resolution":{"observed_at":"2026-08-04T15:23:29.605168Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.13741","last_updated":"2024-10-11T05:08:39Z","snapshot_observed_at":"2026-07-30T22:23:32.552988Z","submitted_at":"2022-10-25T03:14:59Z","title":"Deep Neural Networks as the Semi-classical Limit of Topological Quantum Neural Networks: The problem of generalisation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.13741","snapshot_observed_at":"2026-08-04T15:23:29.703046Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.703046Z"},"links":{"cited_paper":"/paper/2210.13741","citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:97905105df443d325c4924dfe9385e18508335128864a1812d14d762fc5a837d","observation_id":"95648fbe-055d-4fc5-954a-d716686d4cbd","resolution":{"observed_at":"2026-08-04T15:23:29.703046Z","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":"2026-08-04T15:23:29.763987Z","title":"H., Kitaev, A","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.763987Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:a9c3a95712998b95496d92854ed19e068a48c47262c7b32189dbd1bb4e4b50f8","observation_id":"2aba19f2-a23a-4abd-af8d-af9d49501b00","resolution":{"observed_at":"2026-08-04T15:23:29.763987Z","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":"2026-08-04T15:23:29.862963Z","title":"H., Kitaev, A., Larsen, M","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.862963Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:495f35a212f6b4d22e91c88222a5464b3545b2a92209809908499d698471ce34","observation_id":"a27a0f1d-c3ec-4311-a9a8-1817913d0664","resolution":{"observed_at":"2026-08-04T15:23:29.862963Z","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":"2026-08-04T15:23:29.952361Z","title":"and Reichardt, B","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:29.952361Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:633a39dd50cd1e2acad3d26ca8153ddb01bb1789e8bc51bb03c263899fb944e4","observation_id":"aeea9c18-4f2a-4a23-9fe8-33d470bdbf02","resolution":{"observed_at":"2026-08-04T15:23:29.952361Z","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":"2026-08-04T15:23:30.011734Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:30.011734Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:285e0082ece036205cbad0a8e6a3c58ea0f10d3a115402b32a1b1792fcb041e9","observation_id":"dbbe6e11-d440-49a6-b17b-4589f8422c8f","resolution":{"observed_at":"2026-08-04T15:23:30.011734Z","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":"2026-08-04T15:23:30.114316Z","title":"and Marcian` o, A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:30.114316Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:222f4226f9d59ec4a4b548994e573d9cfdc2376db69ac8c07f3636dc88402fa3","observation_id":"47bb577a-2eaa-4974-9ae0-799b7562cdf0","resolution":{"observed_at":"2026-08-04T15:23:30.114316Z","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":"2026-08-04T15:23:30.231559Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:30.231559Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:dc688be9d4ac88cf0822f031782924d65e79d2e612eae5b34e57a4a2ce60394d","observation_id":"40df0e29-bd3c-4203-b9e8-fdf5a529e24e","resolution":{"observed_at":"2026-08-04T15:23:30.231559Z","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":"2026-08-04T15:23:30.367875Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:30.367875Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:8c77d7a8d381415e430487f4b869d6ac41cfbd1080f0b3cb0c7002b664f74fc1","observation_id":"ea4eccc6-f4ff-42c3-8377-abc44725d23e","resolution":{"observed_at":"2026-08-04T15:23:30.367875Z","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":"2026-08-04T15:23:30.514290Z","title":"and Glazebrook, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:30.514290Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:1cb1e3d96814886c4f9d78da358cc25a9b16e7fa5e109980944bd565a62ae478","observation_id":"fe1aad3a-08c3-4825-b6f0-2771e9c3496c","resolution":{"observed_at":"2026-08-04T15:23:30.514290Z","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":"2026-08-04T15:23:30.682347Z","title":"F., Marcian` o, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:30.682347Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:30ace738af6654666a0b0b324bf721b6dade69edac13ab9483156da8051d12bb","observation_id":"1b7ef37e-d0f2-499d-bb1f-e43c39dfd258","resolution":{"observed_at":"2026-08-04T15:23:30.682347Z","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":"2026-08-04T15:23:30.871635Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:30.871635Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:dc4cee4c952fe4beff4b9f838791316e8b9bd3e32f8b7a4ffae0cd018cf7d788","observation_id":"85e17ffb-798d-4c38-92dc-18d2ea5f6f93","resolution":{"observed_at":"2026-08-04T15:23:30.871635Z","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":"2026-08-04T15:23:30.964397Z","title":"and Loveridge, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:30.964397Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:0a95b451598fbc792fcc3de01ac2d4131294b3562ebdebe8fc45a38d1ddd5d5e","observation_id":"b41c534a-e7f8-46d1-8234-7f0926ffa120","resolution":{"observed_at":"2026-08-04T15:23:30.964397Z","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":"2026-08-04T15:23:31.030102Z","title":"C., Girelli, F","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:31.030102Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:49b40f30e1be06455ce0a3097647d6910663b894c2bd6fea0d84883efb142ba2","observation_id":"2d530a88-2404-44aa-a303-1a1cc175f067","resolution":{"observed_at":"2026-08-04T15:23:31.030102Z","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":"2026-08-04T15:23:31.105722Z","title":"and Brukner, ˘C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:31.105722Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:01480646322818e282ab252019a98a5bbd93470c8cbc21db74a2ac6a6b05c66c","observation_id":"bf146eac-eb78-424f-a09c-27f8705ec39e","resolution":{"observed_at":"2026-08-04T15:23:31.105722Z","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":"2026-08-04T15:23:31.207923Z","title":"and Brukner, ˘C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:31.207923Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:ec32e7d5002e5c2d812632f8ac8b418b3140b642eba775c8c76a1bb9a2c8041a","observation_id":"883dc898-0de8-496f-bd9a-9161c66dbe6d","resolution":{"observed_at":"2026-08-04T15:23:31.207923Z","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":"2026-08-04T15:23:31.315968Z","title":"and Galley, T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:31.315968Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:63aee10656cc4b126d50bcc02a0dd76a53d069b1c9a5f000bf6ad90559bbf645","observation_id":"38656d33-59a7-40c4-ab25-5258e7a7b14b","resolution":{"observed_at":"2026-08-04T15:23:31.315968Z","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":"2026-08-04T15:23:31.463661Z","title":"On Computable Numbers, with an Application to the Entscheidungsprob- lem.Proc","venue":null,"work_id":null,"year":1937},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:31.463661Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:b09787d587107b2f53e7d8526fe13ab72e7aa0ddb7d6fc5a65cad03399f0585b","observation_id":"05da036e-8be6-4393-859a-e7a21b9e39c8","resolution":{"observed_at":"2026-08-04T15:23:31.463661Z","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":"2026-08-04T15:23:31.579987Z","title":"and Seligman, J.Information Flow: The Logic of Distributed Systems (Cambridge Tracts in Theoretical Computer Science, 44)","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:31.579987Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:e229218bcb39a5360d8c3ea67e3f75fc93a71a55502b0d5081917fb7cdd18666","observation_id":"6d78b875-98bc-4730-b595-34f0bbb240c9","resolution":{"observed_at":"2026-08-04T15:23:31.579987Z","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":"2026-08-04T15:23:31.703908Z","title":"and Glazebrook, J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:31.703908Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:c2aaafdf8e9722ce817c494b009414d641a3b77ddbe08bdd054fa86a9dbef414","observation_id":"f209fde1-35c6-4b13-a96c-5c883b574c28","resolution":{"observed_at":"2026-08-04T15:23:31.703908Z","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":"2026-08-04T15:23:31.869309Z","title":"P and Welling, M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:31.869309Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:1a0765727d72b3c175c2171708947ef3c278a3efa29970fdc34f9f6a617b641b","observation_id":"83d53e36-0c9a-430c-9641-2cff9818ff97","resolution":{"observed_at":"2026-08-04T15:23:31.869309Z","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":"2026-08-04T15:23:32.019844Z","title":"Chu spaces.School on Category Theory and Applications (Coimbra 1999), Vol","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:32.019844Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:5047bf422271ad9947f5dd5e4992e5b60a330d88b056b6a8675ed718e4981ab5","observation_id":"8511301f-ee45-43f7-aa38-ffdcfe0af4de","resolution":{"observed_at":"2026-08-04T15:23:32.019844Z","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":"2026-08-04T15:23:32.200189Z","title":"Chu spaces from the representational viewpoint.Ann","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:32.200189Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:a606f8c29e643bda47e768ce3d9e88d99e42a919e7d8b514f2634f287a2aaf76","observation_id":"0a2c7b3d-f9f1-4a85-8386-1f51a2045299","resolution":{"observed_at":"2026-08-04T15:23:32.200189Z","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":"2026-08-04T15:23:32.360160Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:32.360160Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:cb0d5e2e0999c829b34ec5bbb0e7c553c0ddc97e1fd6eb782e206570565f7e65","observation_id":"e5c28736-f9ca-4e24-a27f-5be847dc059b","resolution":{"observed_at":"2026-08-04T15:23:32.360160Z","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":"2026-08-04T15:23:32.518597Z","title":"and Suresh, D","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:32.518597Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:c3a17e8cd5a76f680e9e03bcfb7fda00033657d86e106a63640bad09b9861c37","observation_id":"58a28627-3fcb-44d0-9241-deedd8d36194","resolution":{"observed_at":"2026-08-04T15:23:32.518597Z","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":"2026-08-04T15:23:32.660397Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:32.660397Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:cc32fbc6dee11d140e6156f92a6e2fb315cafc092f082500f9bcec05dc79d01e","observation_id":"6daa44d6-7ba4-4e5b-9705-817865d93332","resolution":{"observed_at":"2026-08-04T15:23:32.660397Z","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":"2026-08-04T15:23:32.837611Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:32.837611Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:0432f8557625a348aa6a5e6001297d8f57f542449a8b1717eaf8c7635aabc1af","observation_id":"63fb2926-748d-470a-9432-c0949178ba32","resolution":{"observed_at":"2026-08-04T15:23:32.837611Z","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":"2026-08-04T15:23:33.171890Z","title":"and van der Veen, R","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:33.171890Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:6d591b9061feb86993cf7674be48618f498e79ae6538ed9d54636bc434eb9167","observation_id":"0828f810-74da-407e-a51f-48bd240c6820","resolution":{"observed_at":"2026-08-04T15:23:33.171890Z","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":"2026-08-04T15:23:33.363649Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:33.363649Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:75f0df8448a6c6b7e2899c9359cc87f09e9940b5f24c66c3bc33f943f56636f7","observation_id":"bb2c3448-8d6c-48a8-82b1-48a82e1c7cc8","resolution":{"observed_at":"2026-08-04T15:23:33.363649Z","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":"2026-08-04T15:23:33.506165Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:33.506165Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:ba4e0d6345e20497d311487fe52991475c9b7c935ea9b73a0732c268d1c73b72","observation_id":"47fed945-af32-41c9-bd01-d3bf3f2692d9","resolution":{"observed_at":"2026-08-04T15:23:33.506165Z","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":"2026-08-04T15:23:33.647466Z","title":"Experimental realization of any discrete operator","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:33.647466Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:94f1aa3b25555e617be2a06c90215e76412dde28c5700f4107d3c37073a04bfa","observation_id":"a020d542-f729-4c80-9ad0-9cb61d9bb0ca","resolution":{"observed_at":"2026-08-04T15:23:33.647466Z","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":"2026-08-04T15:23:33.792436Z","title":"and Sun, C","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:33.792436Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:2de7954a9438ef32278a0aeb946492012cbf07cb05b9720455b62d02c1cd5466","observation_id":"8371e46f-26a5-44b7-9116-248e86b2415d","resolution":{"observed_at":"2026-08-04T15:23:33.792436Z","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":"2026-08-04T15:23:33.978830Z","title":"S., Messina, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:33.978830Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:ccb756b83ca77a7887389a48dfa91e4c4319969c3322d09bfb7e5dd7c030c8e6","observation_id":"dec73c84-359b-4ee2-9208-efa42cb5e7c3","resolution":{"observed_at":"2026-08-04T15:23:33.978830Z","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":"2026-08-04T15:23:34.111632Z","title":"and Song, Z","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:34.111632Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:c3aeca6d1ae7c2874707622edd858de36409e9010ffb54d75c3e5406ae4b862a","observation_id":"85eea8c5-6ba7-41ec-9cf2-d33144ded1e8","resolution":{"observed_at":"2026-08-04T15:23:34.111632Z","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":"2026-08-04T15:23:34.250656Z","title":"Quantum computational networks.Proc","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:34.250656Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:0c3a60a5d060b47b2d1a3dcc260084b37cd2604de3c90aa57f58c0fb6c0955b9","observation_id":"3eff8925-7aeb-48e4-be0a-6dc9dbf97899","resolution":{"observed_at":"2026-08-04T15:23:34.250656Z","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":"2026-08-04T15:23:34.398491Z","title":"Fault-tolerant quantum computation by anyons.Annals of Physics303 (1977), 2-30","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:34.398491Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:7f42aa0edea4f0bb2ff5a66db064fa250cd2796a186a2e4ca4723d660ddd6017","observation_id":"8f6097b1-92a0-4e15-9957-a767d93499d3","resolution":{"observed_at":"2026-08-04T15:23:34.398491Z","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":"2026-08-04T15:23:34.550391Z","title":"F.The Geometry and Physics of Knots","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:34.550391Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:2cc58926cf68541a82cfb795c311f79c31ac9723d70efe0c39fe99941a9a5bc2","observation_id":"fd0bdd83-1fe1-4875-81ca-3ae4a7dae4ab","resolution":{"observed_at":"2026-08-04T15:23:34.550391Z","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":"2026-08-04T15:23:34.674538Z","title":"and Regge, T","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:34.674538Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:5fc1950c386726fbb103d17cba6a16c5ef10b69bfb31f3bdf1b6b742f0913538","observation_id":"c5a32958-be55-43c5-abd6-03ae9db4a696","resolution":{"observed_at":"2026-08-04T15:23:34.674538Z","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":"2026-08-04T15:23:34.830274Z","title":"and Viro, O","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:34.830274Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:6f8a27ae2614c330c94f0a6b7c70f8b4ac65b1a83f6625e1bcf2018d25224ef1","observation_id":"2f30450f-20b8-4522-b1b7-eb55aac4740a","resolution":{"observed_at":"2026-08-04T15:23:34.830274Z","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":"2026-08-04T15:23:35.042952Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:35.042952Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:a6302377da89a775de374bcd5c70cbaa5b2e7251bbaa23fdf8d5abb43d7794e7","observation_id":"f0f13566-6fb8-49fb-b083-26bcf86fd98d","resolution":{"observed_at":"2026-08-04T15:23:35.042952Z","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":"2026-08-04T15:23:35.263647Z","title":"Basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum gravity model is the loop representation basis.Phys","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:35.263647Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:5cffb1e8252c73098fd684266ae298fef9a90f9c6c9e8a0714be591ffe9c6dd2","observation_id":"a9f8665f-07cf-420b-afb7-75a4c9ea8239","resolution":{"observed_at":"2026-08-04T15:23:35.263647Z","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":"2026-08-04T15:23:35.400378Z","title":"On Witten’s 3-maiifold invariants, preprint (1991), https://canyon23.net/math/1991TQFTNotes.pdf","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:35.400378Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:c233b86d4d7699935a5e7ae8d6fc2af91cb43fe185eac4b611aad885a022fd36","observation_id":"211d1200-da50-4f15-b226-de9ec8090345","resolution":{"observed_at":"2026-08-04T15:23:35.400378Z","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":"2026-08-04T15:23:35.562963Z","title":"Shadow links and face models of statistical mechanics.J","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:35.562963Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:cb349d23116cf3a1773ebfb606559e70e8cb00fa384c738268af44889bb71cee","observation_id":"c97575ce-ea3f-45de-a51e-506403acdb1f","resolution":{"observed_at":"2026-08-04T15:23:35.562963Z","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":"2026-08-04T15:23:35.744108Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:35.744108Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:a88605e924087c83f0e932deba244fd38afb3ef09f6295d5c14b8f9d5a4d070b","observation_id":"c15f54c5-ed50-4362-8556-c9c57409ce4c","resolution":{"observed_at":"2026-08-04T15:23:35.744108Z","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":"2026-08-04T15:23:35.893513Z","title":"Skein theory and Turaev-Viro invariants.Topology34(4) (1995), 771–787","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:35.893513Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:0da285f740de647cfa6492ffa54aa86911d255caf681a84a29d2e51f692786aa","observation_id":"3d481690-1f8e-48f0-b616-01d7ca090481","resolution":{"observed_at":"2026-08-04T15:23:35.893513Z","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":"2026-08-04T15:23:36.008271Z","title":"G.Quantum Invariants of Knots and 3-Manifolds","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:36.008271Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:901d540ce67ee6f62936e12bc24888f678140426a2e3ab1594ce0a4eb98f28ac","observation_id":"657d1c50-6523-4edd-bc86-cab0b4d26f04","resolution":{"observed_at":"2026-08-04T15:23:36.008271Z","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":"2026-08-04T15:23:36.122200Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:36.122200Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:668eac9cae2f402c8ed7890cea84e68163007a96427bd2ca3c521e1092cca404","observation_id":"380d468b-ca1e-4708-9562-72388ce6ce92","resolution":{"observed_at":"2026-08-04T15:23:36.122200Z","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":"2026-08-04T15:23:36.254279Z","title":"and Turaev, V","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:36.254279Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:efdb0b932eb3a688d3868b45f0edbac371794c15ed4a46a83ca6385df72cd901","observation_id":"e1f3d3b0-109f-400e-ac1b-ce238519ab52","resolution":{"observed_at":"2026-08-04T15:23:36.254279Z","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":"2026-08-04T15:23:36.394912Z","title":"H., Lins, S","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:36.394912Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:9f1527c0367db47c9e291e40ae83baa6a1be68e2239ade242562cdad2ed49353","observation_id":"8a2fe621-06ab-463f-bf3c-06b70252544a","resolution":{"observed_at":"2026-08-04T15:23:36.394912Z","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":"2026-08-04T15:23:36.573684Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:36.573684Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:275ab6b2ea0e20fbde49fa927a718e8373ceb2dcd51af5ba05643c8d7ac05998","observation_id":"fcd3c715-ec1a-4fe2-a2d3-0935ed892640","resolution":{"observed_at":"2026-08-04T15:23:36.573684Z","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":"2026-08-04T15:23:36.758203Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:36.758203Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:f3df9585ba957e30ce13a3c8068ec3bbd0618579b804d60286bdc2ae9ac79571","observation_id":"dac03cd1-ac3a-4b87-8142-ee5d67e4ab1f","resolution":{"observed_at":"2026-08-04T15:23:36.758203Z","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":"2026-08-04T15:23:36.902012Z","title":null,"venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:36.902012Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:076476eb74c5b0c57d84f597075e5004272a32d68accfd84cd5d44792a996fd5","observation_id":"1f6cf88a-b61a-446a-939f-d207fdda0626","resolution":{"observed_at":"2026-08-04T15:23:36.902012Z","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":"2026-08-04T15:23:37.027386Z","title":null,"venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:37.027386Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:538439e2f2b91c44b5be97f1698d39ae6346fa06688db5ac872110d4d3aad977","observation_id":"0d1842a8-e738-44cd-ae9d-c6f8f5e027cd","resolution":{"observed_at":"2026-08-04T15:23:37.027386Z","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":"2026-08-04T15:23:37.146481Z","title":"Quantum groups and subfactors of type B, C, and D,Communications in Mathematical Physics, 133(2) (1990), 383–432","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:37.146481Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:b8887cac2e16c4725b3f5aeb053522b869e94bdfad764728dacb7810454910dc","observation_id":"79d864ea-5fd8-482f-b05b-a7550b4d8eb5","resolution":{"observed_at":"2026-08-04T15:23:37.146481Z","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":"2026-08-04T15:23:37.282110Z","title":"and Zappal` a, E","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:37.282110Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:6a27870af0f00db50e88f0cba19fc25342784de07508dc559525fa7ac299ee14","observation_id":"073f1a0b-c7fc-4e37-b652-0b6a10563c8a","resolution":{"observed_at":"2026-08-04T15:23:37.282110Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1106.6033","last_updated":"2011-06-29T19:30:55Z","snapshot_observed_at":"2026-07-06T02:30:06.437232Z","submitted_at":"2011-06-29T19:30:55Z","title":"String-net model of Turaev-Viro invariants","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1106.6033","snapshot_observed_at":"2026-08-04T15:23:37.383031Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:37.383031Z"},"links":{"cited_paper":"/paper/1106.6033","citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:52df59e28b4374c3f31a192463a59c3e780293d1c6006a037249a283239eb554","observation_id":"37198680-d647-4e66-b5a8-e8ea404817b6","resolution":{"observed_at":"2026-08-04T15:23:37.383031Z","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":"2026-08-04T15:23:37.532331Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:37.532331Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:4505f402d3534cac27810bf49080b00eede35c25e7a2fc5359f3223e7a43c0f1","observation_id":"a179921e-3511-4c77-a781-fa8f7d70701b","resolution":{"observed_at":"2026-08-04T15:23:37.532331Z","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":"2026-08-04T15:23:37.700501Z","title":"and Laflamme, R","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:37.700501Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:a2071ac722c9f5b3eef1dc73766b8c4ff362e9a47b24eec9103a8ca89166a66d","observation_id":"41f4316a-f60b-4a4e-8da4-b3a45d3566a5","resolution":{"observed_at":"2026-08-04T15:23:37.700501Z","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":"2026-08-04T15:23:37.827838Z","title":"and Wakui, M","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:37.827838Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:e87bf6a1b8b945323c1084132e297401dcf8baf87f2faaaed063c8f452d71335","observation_id":"66c7d00c-9767-48fe-886b-8da1d7fd0190","resolution":{"observed_at":"2026-08-04T15:23:37.827838Z","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":"2026-08-04T15:23:37.952341Z","title":"and Lo, C","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:37.952341Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:5d43364276fb34ac4b8d8859c3a0bb46d4d3ae264d9baeb0a4c4677cd6613992","observation_id":"a313b231-b63d-47d0-82d2-45888c1e7d70","resolution":{"observed_at":"2026-08-04T15:23:37.952341Z","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":"2026-08-04T15:23:38.057834Z","title":"H., Larsen, M","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:38.057834Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:64a39b2218935f7dab6739a74f95eb18f0c55004cc4a166d72cf8f790d31fba9","observation_id":"de838a2d-153f-42fd-adad-59b511439fed","resolution":{"observed_at":"2026-08-04T15:23:38.057834Z","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":"2026-08-04T15:23:38.229547Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:38.229547Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:03e749b2e1e172e3d6016ff6629b225b33f743157ff4b23d76209cdcbcd808f2","observation_id":"ce151de5-6330-4cde-b4e2-f712e549e9e8","resolution":{"observed_at":"2026-08-04T15:23:38.229547Z","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":"2026-08-04T15:23:38.341470Z","title":"and Post- nikov, A.Grassmannian Geometry of Scattering Amplitudes","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:38.341470Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:82227739f49ebb5dc5ee9f4bd7601a464e4db3adc8c0ce4570490cbcf775f00d","observation_id":"b5f27c68-d369-47ce-820c-e6ac7a2fb65d","resolution":{"observed_at":"2026-08-04T15:23:38.341470Z","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":"2026-08-04T15:23:38.447822Z","title":"and Sturmfels, B","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:38.447822Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:db9bdb95163f9b6c46a494a49f70ed573fdd4b780b368c8190e8b71de1f9dd7f","observation_id":"c7c249c4-0e88-46e6-a3be-df3ebdc0723a","resolution":{"observed_at":"2026-08-04T15:23:38.447822Z","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":"2026-08-04T15:23:38.574572Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:38.574572Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:7fb643cfee2897a7d5620f714f933d8c956226ce36284d47cbc0fad6a3db1aab","observation_id":"69d86212-5364-4f04-8532-d4a8f4d8e222","resolution":{"observed_at":"2026-08-04T15:23:38.574572Z","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":"2026-08-04T15:23:38.716250Z","title":", Recent developments in algebraic combinatorics, InIsrael Journal of Mathematics143.1 (2004), 317-339","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:38.716250Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:3a820c22e2cd5e82311dbf4495d215dce3596f10917aabcd2936ac3c0008681e","observation_id":"1ecab7e1-4538-45d2-b2fa-9a416060e159","resolution":{"observed_at":"2026-08-04T15:23:38.716250Z","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":"2026-08-04T15:23:38.846793Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:38.846793Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:a2b3c70e51627bdcec21b175eeb24dc9f8ec62dca40286cf705620ac297f4e13","observation_id":"46825474-ccdc-49aa-bb92-89bc79fe25a2","resolution":{"observed_at":"2026-08-04T15:23:38.846793Z","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":"2026-08-04T15:23:38.966892Z","title":"and W¨ uthrich, C., Spacetime is as spacetime does, InStud","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:38.966892Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:7b01ef2265d68f1d3c570dcb39778dc440eb24413afa2dd48a0246d221b35c01","observation_id":"3ca9a38d-3fa3-43e0-85d5-071c60a6cfe1","resolution":{"observed_at":"2026-08-04T15:23:38.966892Z","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":"2026-08-04T15:23:39.114413Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:39.114413Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:794af86d899fa8d95ea311d8956076054458cd8607b32ebafc9d5a0f7289c263","observation_id":"e2db1c67-8003-4770-9271-b952aecaf54c","resolution":{"observed_at":"2026-08-04T15:23:39.114413Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.11392","last_updated":"2021-11-22T18:08:31Z","snapshot_observed_at":"2026-07-06T12:10:57.823506Z","submitted_at":"2021-11-22T18:08:31Z","title":"Celestial Holography","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.11392","snapshot_observed_at":"2026-08-04T15:23:39.185615Z","title":"M., Celestial Holography, [arXiv:2111.11392 [hep-th]]","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:39.185615Z"},"links":{"cited_paper":"/paper/2111.11392","citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:a1021182c4c8b0797cc5d221eb70c7cb1a5b1ad64937d736e3ffd8b7ac707848","observation_id":"350d57da-6e43-46c9-9555-15c145696c93","resolution":{"observed_at":"2026-08-04T15:23:39.185615Z","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":"2026-08-04T15:23:39.361705Z","title":"and Trnka, J., Nonperturbative negative geometries: amplitudes at strong coupling and the amplituhedron, InJHEP03 (2022), 108","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:39.361705Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:b2b57fb627ba7dab51a7223bba3446a0f4362fd0010eab3cf3aac68199d26fea","observation_id":"b975649c-d60d-408a-9974-a6cbf6fdc827","resolution":{"observed_at":"2026-08-04T15:23:39.361705Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.03146","last_updated":"2022-10-06T18:07:38Z","snapshot_observed_at":"2026-08-04T06:28:11.710756Z","submitted_at":"2022-10-06T18:07:38Z","title":"Snowmass TF04 Report: Scattering Amplitudes and their Applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.03146","snapshot_observed_at":"2026-08-04T15:23:39.515305Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:39.515305Z"},"links":{"cited_paper":"/paper/2210.03146","citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:93ad48e6d079c414be5802d78fb614217d675b8e8baf2e8bc1d27b673535c5ed","observation_id":"943a2534-b2d9-4371-953b-639cd90d70fd","resolution":{"observed_at":"2026-08-04T15:23:39.515305Z","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":"2026-08-04T15:23:39.689664Z","title":"Topological Quantum Field Theory,Commun","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:39.689664Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:debddeb76a0fb4cb57bf4c24a9963b724defca4970edfb1f48322582718cfb91","observation_id":"74b8aab7-ed13-4fdf-b4de-ad58e89692a8","resolution":{"observed_at":"2026-08-04T15:23:39.689664Z","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":"2026-08-04T15:23:39.811087Z","title":"and Thompson, G","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:39.811087Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:9f813e38186372acfda63fe4e6d2ea1279c297b25015cb3850b5ca185a3712d2","observation_id":"32f09f14-b8d6-4dd3-97b2-8dd2276ba75a","resolution":{"observed_at":"2026-08-04T15:23:39.811087Z","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":"2026-08-04T15:23:39.939329Z","title":"Differential geometry of Grassmann manifolds.Proc","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:39.939329Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:47ffb981d3f33a6b800b6c1c4e09c40e5187164b65bcd0168e7d73b7f7c4fee7","observation_id":"fa0e84d5-c8e1-47bd-88b9-d37ece379077","resolution":{"observed_at":"2026-08-04T15:23:39.939329Z","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":"2026-08-04T15:23:40.101131Z","title":"M., Goresky","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:40.101131Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:1795846ba8f6d00d70ac3736e1b5352ba7402e392836ba92909a2fe58997d473","observation_id":"18d170e0-e4af-488f-b551-359c52645aac","resolution":{"observed_at":"2026-08-04T15:23:40.101131Z","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":"2026-08-04T15:23:40.233465Z","title":"and Postnikov, A","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:40.233465Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:987ee21137b7ba043c2e4ddc24885a8cce654a7a1fbd12de708164e01f958001","observation_id":"691d48f2-d7b2-4b1b-8476-c605887834f0","resolution":{"observed_at":"2026-08-04T15:23:40.233465Z","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":"2026-08-04T15:23:40.405589Z","title":"and Hynbida, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC","version":3},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-04T15:23:40.405589Z"},"links":{"citing_paper":"/paper/2509.19772"},"observation_digest":"sha256:fca82f70a61fb68fb2e2970fb59427d1b969c716c48ebe9814e250d9b12ea7a8","observation_id":"f072fb3f-9c47-468f-a476-956bb4a28e79","resolution":{"observed_at":"2026-08-04T15:23:40.405589Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.19772","last_updated":"2026-07-30T09:39:31Z","latest_version":3,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-08T21:31:19.205612Z","submitted_at":"2025-09-24T05:43:11Z","title":"Amplituhedra for generic quantum processes via the TQNN representation of UQC"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":100,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":159},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 100 of 159 outbound references and 0 inbound Pith citation observations for arXiv:2509.19772."}