{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:OBZHFI5MDWEHS24YETBMY2K5SE","short_pith_number":"pith:OBZHFI5M","canonical_record":{"source":{"id":"1901.02366","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-01-08T15:33:12Z","cross_cats_sorted":["hep-th","math.MP","math.OA"],"title_canon_sha256":"de28564e60388b6dd05c17f37c48e3b38758d80459ef1dc92626698d1301b1bb","abstract_canon_sha256":"ff677b1c518a959e3312b518c20fb2e0af455e994b0985d6bf1d61a36373384b"},"schema_version":"1.0"},"canonical_sha256":"707272a3ac1d88796b9824c2cc695d912d156069e3fe62e9cc2e6de6f474840f","source":{"kind":"arxiv","id":"1901.02366","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02366","created_at":"2026-05-17T23:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02366v2","created_at":"2026-05-17T23:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02366","created_at":"2026-05-17T23:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"OBZHFI5MDWEH","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"OBZHFI5MDWEHS24Y","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"OBZHFI5M","created_at":"2026-05-18T12:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:OBZHFI5MDWEHS24YETBMY2K5SE","target":"record","payload":{"canonical_record":{"source":{"id":"1901.02366","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-01-08T15:33:12Z","cross_cats_sorted":["hep-th","math.MP","math.OA"],"title_canon_sha256":"de28564e60388b6dd05c17f37c48e3b38758d80459ef1dc92626698d1301b1bb","abstract_canon_sha256":"ff677b1c518a959e3312b518c20fb2e0af455e994b0985d6bf1d61a36373384b"},"schema_version":"1.0"},"canonical_sha256":"707272a3ac1d88796b9824c2cc695d912d156069e3fe62e9cc2e6de6f474840f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:47.457181Z","signature_b64":"iAEdaMa3X0MlYbUq2BoJY63z0BBVFDj1UYBnYC0whsfnx2F+C2/d2T7cd/COl16+vS2b7n0AKYd9PNYedzoJDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"707272a3ac1d88796b9824c2cc695d912d156069e3fe62e9cc2e6de6f474840f","last_reissued_at":"2026-05-17T23:39:47.456574Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:47.456574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.02366","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:39:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gnzTNIS/Ta5AKfnP07faihuwI3S9vZYLzraSqH0PTNVYeq51VBJ2dXP9J3nWopPkv3voxGVQXfW9DngWeLSeAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T12:53:54.100551Z"},"content_sha256":"6af1e02469eb2bdf48d2aa0460e21af395847228adeb3a6e45af3259bacbe15f","schema_version":"1.0","event_id":"sha256:6af1e02469eb2bdf48d2aa0460e21af395847228adeb3a6e45af3259bacbe15f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:OBZHFI5MDWEHS24YETBMY2K5SE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropy of Coherent Excitations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.OA"],"primary_cat":"math-ph","authors_text":"Roberto Longo","submitted_at":"2019-01-08T15:33:12Z","abstract_excerpt":"We provide a rigorous, explicit formula for the vacuum relative entropy of a coherent state on wedge local von Neumann algebras associated with a free, neutral quantum field theory on the Minkowski spacetime of arbitrary spacetime dimension. We consider charges localised on the time zero hyperplane, possibly crossing the boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02366","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-17T23:39:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DZPORvvLQ+qkr71oWnCcYZKadk10vEayBdXNXfeebYAa9HaMotfQFDw1BMF+uBHghDRuzMuxvyyzVOCS6p09DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T12:53:54.100904Z"},"content_sha256":"ce8b7e0b19e448b3b0b0f20f82683d4de51d628f374b7283b92826a29b013521","schema_version":"1.0","event_id":"sha256:ce8b7e0b19e448b3b0b0f20f82683d4de51d628f374b7283b92826a29b013521"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OBZHFI5MDWEHS24YETBMY2K5SE/bundle.json","state_url":"https://pith.science/pith/OBZHFI5MDWEHS24YETBMY2K5SE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OBZHFI5MDWEHS24YETBMY2K5SE/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":"2026-05-22T12:53:54Z","links":{"resolver":"https://pith.science/pith/OBZHFI5MDWEHS24YETBMY2K5SE","bundle":"https://pith.science/pith/OBZHFI5MDWEHS24YETBMY2K5SE/bundle.json","state":"https://pith.science/pith/OBZHFI5MDWEHS24YETBMY2K5SE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OBZHFI5MDWEHS24YETBMY2K5SE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OBZHFI5MDWEHS24YETBMY2K5SE","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":"ff677b1c518a959e3312b518c20fb2e0af455e994b0985d6bf1d61a36373384b","cross_cats_sorted":["hep-th","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-01-08T15:33:12Z","title_canon_sha256":"de28564e60388b6dd05c17f37c48e3b38758d80459ef1dc92626698d1301b1bb"},"schema_version":"1.0","source":{"id":"1901.02366","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02366","created_at":"2026-05-17T23:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02366v2","created_at":"2026-05-17T23:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02366","created_at":"2026-05-17T23:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"OBZHFI5MDWEH","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"OBZHFI5MDWEHS24Y","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"OBZHFI5M","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:ce8b7e0b19e448b3b0b0f20f82683d4de51d628f374b7283b92826a29b013521","target":"graph","created_at":"2026-05-17T23:39:47Z","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"},"paper":{"abstract_excerpt":"We provide a rigorous, explicit formula for the vacuum relative entropy of a coherent state on wedge local von Neumann algebras associated with a free, neutral quantum field theory on the Minkowski spacetime of arbitrary spacetime dimension. We consider charges localised on the time zero hyperplane, possibly crossing the boundary.","authors_text":"Roberto Longo","cross_cats":["hep-th","math.MP","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-01-08T15:33:12Z","title":"Entropy of Coherent Excitations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02366","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":"sha256:6af1e02469eb2bdf48d2aa0460e21af395847228adeb3a6e45af3259bacbe15f","target":"record","created_at":"2026-05-17T23:39:47Z","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":"ff677b1c518a959e3312b518c20fb2e0af455e994b0985d6bf1d61a36373384b","cross_cats_sorted":["hep-th","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-01-08T15:33:12Z","title_canon_sha256":"de28564e60388b6dd05c17f37c48e3b38758d80459ef1dc92626698d1301b1bb"},"schema_version":"1.0","source":{"id":"1901.02366","kind":"arxiv","version":2}},"canonical_sha256":"707272a3ac1d88796b9824c2cc695d912d156069e3fe62e9cc2e6de6f474840f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"707272a3ac1d88796b9824c2cc695d912d156069e3fe62e9cc2e6de6f474840f","first_computed_at":"2026-05-17T23:39:47.456574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:47.456574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iAEdaMa3X0MlYbUq2BoJY63z0BBVFDj1UYBnYC0whsfnx2F+C2/d2T7cd/COl16+vS2b7n0AKYd9PNYedzoJDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:47.457181Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.02366","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6af1e02469eb2bdf48d2aa0460e21af395847228adeb3a6e45af3259bacbe15f","sha256:ce8b7e0b19e448b3b0b0f20f82683d4de51d628f374b7283b92826a29b013521"],"state_sha256":"b9ae1250fbd46d64d59dc939c1791209b6c0d1aa19c7d1cd0d36afc6bd8a5d91"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LA0c3h0QKxIwyl66LXxm0o8UyccTb0uRlbVkEvvH/QmP0kvYUxJqgKtnd8f+kcI7f+gy/QLdDCdGdcivezUnDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T12:53:54.103721Z","bundle_sha256":"95ba30a1424cf403040b1d69621b7bdc2615cd644cbedf3bbccf33cff5f59bad"}}