{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EVDXBTXO3VDRBT5LQRWXLRXC6P","short_pith_number":"pith:EVDXBTXO","canonical_record":{"source":{"id":"1211.3525","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-15T08:16:07Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"2019ee41c05abdd6417fde65883c9fed42a79fb8712edc53ceda27e9e8b8c722","abstract_canon_sha256":"11ee19a337fa9e9b0f88b0f76cfaffe7a0dbc38fa0df39dc494f9d3d381965d1"},"schema_version":"1.0"},"canonical_sha256":"254770ceeedd4710cfab846d75c6e2f3c86bbb89e8abd779d94a9199407cbf4b","source":{"kind":"arxiv","id":"1211.3525","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3525","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3525v2","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3525","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"EVDXBTXO3VDR","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EVDXBTXO3VDRBT5L","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EVDXBTXO","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EVDXBTXO3VDRBT5LQRWXLRXC6P","target":"record","payload":{"canonical_record":{"source":{"id":"1211.3525","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-15T08:16:07Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"2019ee41c05abdd6417fde65883c9fed42a79fb8712edc53ceda27e9e8b8c722","abstract_canon_sha256":"11ee19a337fa9e9b0f88b0f76cfaffe7a0dbc38fa0df39dc494f9d3d381965d1"},"schema_version":"1.0"},"canonical_sha256":"254770ceeedd4710cfab846d75c6e2f3c86bbb89e8abd779d94a9199407cbf4b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:19.096999Z","signature_b64":"+qYSEcEWHKvfFz8mojB3jZ90WqdjA8NnS3bMA4CudOaX/PO++RuvMUwHZQz2lNnn+St5eVziH+6xqAKKacpSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"254770ceeedd4710cfab846d75c6e2f3c86bbb89e8abd779d94a9199407cbf4b","last_reissued_at":"2026-05-18T01:12:19.096648Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:19.096648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.3525","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":"2026-05-18T01:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KXiPMs0cgoOAFNFTbZqsD1n0sfBDXOLy0A3N14GkZV/FRK/xusRbLoaobjSEA4w7rpIeVhFMtuLvmhb8yAVhCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:49:45.934410Z"},"content_sha256":"5c4bad1403364f1a4d1cdac039048e25e235f81393d15148ecbe809e2fd2d03c","schema_version":"1.0","event_id":"sha256:5c4bad1403364f1a4d1cdac039048e25e235f81393d15148ecbe809e2fd2d03c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EVDXBTXO3VDRBT5LQRWXLRXC6P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modular Theory for Operator Algebra in Bounded Region of Space-Time and Quantum Entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"gr-qc","authors_text":"Daisuke Ida, Miyuki Saito, Takahiro Okamoto","submitted_at":"2012-11-15T08:16:07Z","abstract_excerpt":"We consider the quantum state seen by an observer in the diamond-shaped region, which is a globally hyperbolic open submanifold of the Minkowski space-time. It is known from the operator-algebraic argument that the vacuum state of the quantum field transforming covariantly under the conformal group looks like a thermal state on the von Neumann algebra generated by the field operators on the diamond-shaped region of the Minkowski space-time. Here, we find, in the case of the free massless Hermitian scalar field in the 2-dimensional Minkowski space-time, that such a state can in fact be identifi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3525","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":"2026-05-18T01:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"80BnhMQ5Cn0WzPwILoHhc6TP1bt9vzGAFFVCCjDgS+sN3Vvo8XvDCUQrrMz5me2zit8xV2LzdPyyOzT+Qdi1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:49:45.935121Z"},"content_sha256":"11683561fde3f128715307800cbf42594ed8a9bb1bed5bd5056bf7d1b9c2864b","schema_version":"1.0","event_id":"sha256:11683561fde3f128715307800cbf42594ed8a9bb1bed5bd5056bf7d1b9c2864b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EVDXBTXO3VDRBT5LQRWXLRXC6P/bundle.json","state_url":"https://pith.science/pith/EVDXBTXO3VDRBT5LQRWXLRXC6P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EVDXBTXO3VDRBT5LQRWXLRXC6P/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":"2026-06-10T05:49:45Z","links":{"resolver":"https://pith.science/pith/EVDXBTXO3VDRBT5LQRWXLRXC6P","bundle":"https://pith.science/pith/EVDXBTXO3VDRBT5LQRWXLRXC6P/bundle.json","state":"https://pith.science/pith/EVDXBTXO3VDRBT5LQRWXLRXC6P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EVDXBTXO3VDRBT5LQRWXLRXC6P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EVDXBTXO3VDRBT5LQRWXLRXC6P","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":"11ee19a337fa9e9b0f88b0f76cfaffe7a0dbc38fa0df39dc494f9d3d381965d1","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-15T08:16:07Z","title_canon_sha256":"2019ee41c05abdd6417fde65883c9fed42a79fb8712edc53ceda27e9e8b8c722"},"schema_version":"1.0","source":{"id":"1211.3525","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3525","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3525v2","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3525","created_at":"2026-05-18T01:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"EVDXBTXO3VDR","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EVDXBTXO3VDRBT5L","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EVDXBTXO","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:11683561fde3f128715307800cbf42594ed8a9bb1bed5bd5056bf7d1b9c2864b","target":"graph","created_at":"2026-05-18T01:12:19Z","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 consider the quantum state seen by an observer in the diamond-shaped region, which is a globally hyperbolic open submanifold of the Minkowski space-time. It is known from the operator-algebraic argument that the vacuum state of the quantum field transforming covariantly under the conformal group looks like a thermal state on the von Neumann algebra generated by the field operators on the diamond-shaped region of the Minkowski space-time. Here, we find, in the case of the free massless Hermitian scalar field in the 2-dimensional Minkowski space-time, that such a state can in fact be identifi","authors_text":"Daisuke Ida, Miyuki Saito, Takahiro Okamoto","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-15T08:16:07Z","title":"Modular Theory for Operator Algebra in Bounded Region of Space-Time and Quantum Entanglement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3525","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":"sha256:5c4bad1403364f1a4d1cdac039048e25e235f81393d15148ecbe809e2fd2d03c","target":"record","created_at":"2026-05-18T01:12:19Z","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":"11ee19a337fa9e9b0f88b0f76cfaffe7a0dbc38fa0df39dc494f9d3d381965d1","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-15T08:16:07Z","title_canon_sha256":"2019ee41c05abdd6417fde65883c9fed42a79fb8712edc53ceda27e9e8b8c722"},"schema_version":"1.0","source":{"id":"1211.3525","kind":"arxiv","version":2}},"canonical_sha256":"254770ceeedd4710cfab846d75c6e2f3c86bbb89e8abd779d94a9199407cbf4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"254770ceeedd4710cfab846d75c6e2f3c86bbb89e8abd779d94a9199407cbf4b","first_computed_at":"2026-05-18T01:12:19.096648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:19.096648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+qYSEcEWHKvfFz8mojB3jZ90WqdjA8NnS3bMA4CudOaX/PO++RuvMUwHZQz2lNnn+St5eVziH+6xqAKKacpSDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:19.096999Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.3525","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c4bad1403364f1a4d1cdac039048e25e235f81393d15148ecbe809e2fd2d03c","sha256:11683561fde3f128715307800cbf42594ed8a9bb1bed5bd5056bf7d1b9c2864b"],"state_sha256":"198a2d8d75c285ebffa14e3274c492c611a6da3f38805df1b87c5ee38a48e0b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CaY2mRrBwxjgZ1LOZz/hsPA4nQThf4vdHF61bGkGy+DHR46DBQLiuIOkWlj8eHb1yk3rlA4i+jY7QCNgvcekCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:49:45.939068Z","bundle_sha256":"8bd7e2e4086f29d4001c9af1d9f415286c305f53a4ecdb0c213e28b1c07aaee9"}}