{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:2IEOLBSW3W4B3ZLBGLAVRIG663","short_pith_number":"pith:2IEOLBSW","canonical_record":{"source":{"id":"2305.02788","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2023-05-04T12:42:24Z","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"title_canon_sha256":"fbe3f2ed8c5df4e71de7c30ff70124dc974233489785863569413c08b28b1328","abstract_canon_sha256":"e1974826627b913ea917cd440b447f57fa0c948e8bfab6b15d4d75fc09aa37e5"},"schema_version":"1.0"},"canonical_sha256":"d208e58656ddb81de56132c158a0def6dd46296c5453460239ad80dd4f6a4a8e","source":{"kind":"arxiv","id":"2305.02788","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.02788","created_at":"2026-07-05T06:46:47Z"},{"alias_kind":"arxiv_version","alias_value":"2305.02788v1","created_at":"2026-07-05T06:46:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.02788","created_at":"2026-07-05T06:46:47Z"},{"alias_kind":"pith_short_12","alias_value":"2IEOLBSW3W4B","created_at":"2026-07-05T06:46:47Z"},{"alias_kind":"pith_short_16","alias_value":"2IEOLBSW3W4B3ZLB","created_at":"2026-07-05T06:46:47Z"},{"alias_kind":"pith_short_8","alias_value":"2IEOLBSW","created_at":"2026-07-05T06:46:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:2IEOLBSW3W4B3ZLBGLAVRIG663","target":"record","payload":{"canonical_record":{"source":{"id":"2305.02788","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2023-05-04T12:42:24Z","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"title_canon_sha256":"fbe3f2ed8c5df4e71de7c30ff70124dc974233489785863569413c08b28b1328","abstract_canon_sha256":"e1974826627b913ea917cd440b447f57fa0c948e8bfab6b15d4d75fc09aa37e5"},"schema_version":"1.0"},"canonical_sha256":"d208e58656ddb81de56132c158a0def6dd46296c5453460239ad80dd4f6a4a8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:46:47.881689Z","signature_b64":"tjcae40yD0vxSuEps5lDdV2q7c2HPaZJONbQUPV2JHLZNjnVV3MyZ5pBgKGbstGgOTCslKzvVFCf1fFpz6qHBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d208e58656ddb81de56132c158a0def6dd46296c5453460239ad80dd4f6a4a8e","last_reissued_at":"2026-07-05T06:46:47.881187Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:46:47.881187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.02788","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:46:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tpV3FjGEpwugIiCFdCYn+ZoT5ONEVo5c4YQtj0ft48Lu3vvuaCt2hLPBdiELnvDd05EcE4cau+Ab+iLlqMi+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T07:11:17.799922Z"},"content_sha256":"04f0faeac0519ec699e38a3cbb0827897b9fb9ad1fa5c164a78aeeecfc1cd99c","schema_version":"1.0","event_id":"sha256:04f0faeac0519ec699e38a3cbb0827897b9fb9ad1fa5c164a78aeeecfc1cd99c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:2IEOLBSW3W4B3ZLBGLAVRIG663","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relative Entropy of Fermion Excitation States on the CAR Algebra","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Albert Much, Rainer Verch, Stefano Galanda","submitted_at":"2023-05-04T12:42:24Z","abstract_excerpt":"The relative entropy of certain states on the algebra of canonical anticommutation relations (CAR) is studied in the present work. The CAR algebra is used to describe fermionic degrees of freedom in quantum mechanics and quantum field theory. The states for which the relative entropy is investigated are multi-excitation states (similar to multi-particle states) with respect to KMS states defined with respect to a time-evolution induced by a unitary dynamical group on the one-particle Hilbert space of the CAR algebra. If the KMS state is quasifree, the relative entropy of multi-excitation state"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.02788","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.02788/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:46:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ak+WhLD09IsDezrRSqxTuxbEi+km95NzO+pVeurTvt3kjZ28kQlv75E+9ryumrj7Sgrqy5DoBXq/aoVhsZcmDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T07:11:17.800303Z"},"content_sha256":"52d0db9876bad22e1131ba89b90cde2962e196b5e23c421241baf5c030254c13","schema_version":"1.0","event_id":"sha256:52d0db9876bad22e1131ba89b90cde2962e196b5e23c421241baf5c030254c13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2IEOLBSW3W4B3ZLBGLAVRIG663/bundle.json","state_url":"https://pith.science/pith/2IEOLBSW3W4B3ZLBGLAVRIG663/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2IEOLBSW3W4B3ZLBGLAVRIG663/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-16T07:11:17Z","links":{"resolver":"https://pith.science/pith/2IEOLBSW3W4B3ZLBGLAVRIG663","bundle":"https://pith.science/pith/2IEOLBSW3W4B3ZLBGLAVRIG663/bundle.json","state":"https://pith.science/pith/2IEOLBSW3W4B3ZLBGLAVRIG663/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2IEOLBSW3W4B3ZLBGLAVRIG663/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2IEOLBSW3W4B3ZLBGLAVRIG663","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":"e1974826627b913ea917cd440b447f57fa0c948e8bfab6b15d4d75fc09aa37e5","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2023-05-04T12:42:24Z","title_canon_sha256":"fbe3f2ed8c5df4e71de7c30ff70124dc974233489785863569413c08b28b1328"},"schema_version":"1.0","source":{"id":"2305.02788","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.02788","created_at":"2026-07-05T06:46:47Z"},{"alias_kind":"arxiv_version","alias_value":"2305.02788v1","created_at":"2026-07-05T06:46:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.02788","created_at":"2026-07-05T06:46:47Z"},{"alias_kind":"pith_short_12","alias_value":"2IEOLBSW3W4B","created_at":"2026-07-05T06:46:47Z"},{"alias_kind":"pith_short_16","alias_value":"2IEOLBSW3W4B3ZLB","created_at":"2026-07-05T06:46:47Z"},{"alias_kind":"pith_short_8","alias_value":"2IEOLBSW","created_at":"2026-07-05T06:46:47Z"}],"graph_snapshots":[{"event_id":"sha256:52d0db9876bad22e1131ba89b90cde2962e196b5e23c421241baf5c030254c13","target":"graph","created_at":"2026-07-05T06:46:47Z","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/2305.02788/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The relative entropy of certain states on the algebra of canonical anticommutation relations (CAR) is studied in the present work. The CAR algebra is used to describe fermionic degrees of freedom in quantum mechanics and quantum field theory. The states for which the relative entropy is investigated are multi-excitation states (similar to multi-particle states) with respect to KMS states defined with respect to a time-evolution induced by a unitary dynamical group on the one-particle Hilbert space of the CAR algebra. If the KMS state is quasifree, the relative entropy of multi-excitation state","authors_text":"Albert Much, Rainer Verch, Stefano Galanda","cross_cats":["hep-th","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2023-05-04T12:42:24Z","title":"Relative Entropy of Fermion Excitation States on the CAR Algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.02788","kind":"arxiv","version":1},"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":"sha256:04f0faeac0519ec699e38a3cbb0827897b9fb9ad1fa5c164a78aeeecfc1cd99c","target":"record","created_at":"2026-07-05T06:46:47Z","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":"e1974826627b913ea917cd440b447f57fa0c948e8bfab6b15d4d75fc09aa37e5","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2023-05-04T12:42:24Z","title_canon_sha256":"fbe3f2ed8c5df4e71de7c30ff70124dc974233489785863569413c08b28b1328"},"schema_version":"1.0","source":{"id":"2305.02788","kind":"arxiv","version":1}},"canonical_sha256":"d208e58656ddb81de56132c158a0def6dd46296c5453460239ad80dd4f6a4a8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d208e58656ddb81de56132c158a0def6dd46296c5453460239ad80dd4f6a4a8e","first_computed_at":"2026-07-05T06:46:47.881187Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:46:47.881187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tjcae40yD0vxSuEps5lDdV2q7c2HPaZJONbQUPV2JHLZNjnVV3MyZ5pBgKGbstGgOTCslKzvVFCf1fFpz6qHBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:46:47.881689Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.02788","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04f0faeac0519ec699e38a3cbb0827897b9fb9ad1fa5c164a78aeeecfc1cd99c","sha256:52d0db9876bad22e1131ba89b90cde2962e196b5e23c421241baf5c030254c13"],"state_sha256":"ffa98fe3fa6c8f7cb9561e43205f8cad7e7c8a38373699135021f07452b4631f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jUjJhS9BbwVH1ClYIWx18BbXdwNhX52wzY7O8WHybWR3Np4/z7eDaTF/f4FwUSQP5ryGefM1v944zAeG7jo0DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-16T07:11:17.802584Z","bundle_sha256":"0a102f7a49e007d7f730fc3a465b3f7f6de6ea348c9ee82859452b185bfe84a7"}}