{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:X62EUHSEOYXG6I2GAQJXN7PZVT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"957fda5a3d34a4b275ee2d8fcc4b040a01a5442da63ca939e05bd9f3b71d6ff8","cross_cats_sorted":["hep-th","math.MP","math.OA","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2022-07-26T19:22:41Z","title_canon_sha256":"9eda7a6b782e5af075d2485bd4afccf0b9317c8b9c4b69174b35857e3d217ff2"},"schema_version":"1.0","source":{"id":"2207.13157","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.13157","created_at":"2026-07-05T08:44:07Z"},{"alias_kind":"arxiv_version","alias_value":"2207.13157v2","created_at":"2026-07-05T08:44:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.13157","created_at":"2026-07-05T08:44:07Z"},{"alias_kind":"pith_short_12","alias_value":"X62EUHSEOYXG","created_at":"2026-07-05T08:44:07Z"},{"alias_kind":"pith_short_16","alias_value":"X62EUHSEOYXG6I2G","created_at":"2026-07-05T08:44:07Z"},{"alias_kind":"pith_short_8","alias_value":"X62EUHSE","created_at":"2026-07-05T08:44:07Z"}],"graph_snapshots":[{"event_id":"sha256:cb1be128c868c9819433bdeb2387e369f73393face274e2a7a080f332ff36073","target":"graph","created_at":"2026-07-05T08:44:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2207.13157/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to compute integrals over the unitary group asymptotically for a large dimension of the group, for various integrands with a specific scaling behavior in this dimension. It is shown that, in a well-defined limiting case, the localized refined pre-state is positive and allows for the description of general entangled states.","authors_text":"Felix Finster, Moritz Reintjes, Niky Kamran","cross_cats":["hep-th","math.MP","math.OA","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2022-07-26T19:22:41Z","title":"Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.13157","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f2c0629a8b918fc3ea58c49db97445ee4319baf6c20bfd5f972844168d6b64e5","target":"record","created_at":"2026-07-05T08:44:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"957fda5a3d34a4b275ee2d8fcc4b040a01a5442da63ca939e05bd9f3b71d6ff8","cross_cats_sorted":["hep-th","math.MP","math.OA","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2022-07-26T19:22:41Z","title_canon_sha256":"9eda7a6b782e5af075d2485bd4afccf0b9317c8b9c4b69174b35857e3d217ff2"},"schema_version":"1.0","source":{"id":"2207.13157","kind":"arxiv","version":2}},"canonical_sha256":"bfb44a1e44762e6f2346041376fdf9acf5e8b1cf47ee9bf4ec88672e2a33183b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfb44a1e44762e6f2346041376fdf9acf5e8b1cf47ee9bf4ec88672e2a33183b","first_computed_at":"2026-07-05T08:44:07.981378Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:44:07.981378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DwokZ1jE7jPNN6OWg/keKvrR+LqY/Fo8CefMoqh4584FknTw1W5OS1eKouz/citAbobYKetlcxZ8R/hYHju3CA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:44:07.981726Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.13157","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2c0629a8b918fc3ea58c49db97445ee4319baf6c20bfd5f972844168d6b64e5","sha256:cb1be128c868c9819433bdeb2387e369f73393face274e2a7a080f332ff36073"],"state_sha256":"c938ff64004fcc444c39dc14709c51763bc4c88ce99032f9a03296381e777646"}