{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:NQHVLLLFDBXCRC6FQXT6WLZ7Y2","short_pith_number":"pith:NQHVLLLF","canonical_record":{"source":{"id":"1809.03516","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-10T18:00:08Z","cross_cats_sorted":[],"title_canon_sha256":"096dc8e64799b1a25b5a222d38e37d823f814366cd309e7b5e0870c10a184801","abstract_canon_sha256":"35933e33a10eec3df2e742b81d9e56d6558631975d2085bc6316e42c319a3609"},"schema_version":"1.0"},"canonical_sha256":"6c0f55ad65186e288bc585e7eb2f3fc6b7387bfa612a2dc793e44640bd1506ee","source":{"kind":"arxiv","id":"1809.03516","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03516","created_at":"2026-05-18T00:00:50Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03516v1","created_at":"2026-05-18T00:00:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03516","created_at":"2026-05-18T00:00:50Z"},{"alias_kind":"pith_short_12","alias_value":"NQHVLLLFDBXC","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NQHVLLLFDBXCRC6F","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NQHVLLLF","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:NQHVLLLFDBXCRC6FQXT6WLZ7Y2","target":"record","payload":{"canonical_record":{"source":{"id":"1809.03516","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-10T18:00:08Z","cross_cats_sorted":[],"title_canon_sha256":"096dc8e64799b1a25b5a222d38e37d823f814366cd309e7b5e0870c10a184801","abstract_canon_sha256":"35933e33a10eec3df2e742b81d9e56d6558631975d2085bc6316e42c319a3609"},"schema_version":"1.0"},"canonical_sha256":"6c0f55ad65186e288bc585e7eb2f3fc6b7387bfa612a2dc793e44640bd1506ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:50.382348Z","signature_b64":"ENqeiYu4krqw0U/kW89byM4ZGLpyVqbzrWf8XADUO6h31IQEoc989eQ9CeNfbIBkG5mdo5uRe8pEq4ucrmjYAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c0f55ad65186e288bc585e7eb2f3fc6b7387bfa612a2dc793e44640bd1506ee","last_reissued_at":"2026-05-18T00:00:50.381717Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:50.381717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.03516","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":"2026-05-18T00:00:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dYzjP9XGypwdqnJ2TMV5ahHOw4V9UPZxNj46PQjSlzu6LCkPkh8uiRn7bBKPdDijP9OaB3OBPc5MEYyWFBAFAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T07:21:06.988280Z"},"content_sha256":"e44fb9c52bb7e6fc4382af4a0989965e0e57eda0a1c573bf01ca8179890e2548","schema_version":"1.0","event_id":"sha256:e44fb9c52bb7e6fc4382af4a0989965e0e57eda0a1c573bf01ca8179890e2548"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:NQHVLLLFDBXCRC6FQXT6WLZ7Y2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Properties of Modular Hamiltonians on Entanglement Plateaux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Johanna Erdmenger, Raimond Abt","submitted_at":"2018-09-10T18:00:08Z","abstract_excerpt":"The modular Hamiltonian of reduced states, given essentially by the logarithm of the reduced density matrix, plays an important role within the AdS/CFT correspondence in view of its relation to quantum information. In particular, it is an essential ingredient for quantum information measures of distances between states, such as the relative entropy and the Fisher information metric. However, the modular Hamiltonian is known explicitly only for a few examples. For a family of states $\\rho_\\lambda$ that is parametrized by a scalar $\\lambda$, the first order contribution in $\\tilde\\lambda=\\lambda"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03516","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":""},"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":"2026-05-18T00:00:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fLvT1WCbvCA80a2rsrsr3/McGAgwFFI+2T6zfrMvpF0g4PlFkrIMfoXkcn3iFoXOO4z/sYlFdUPAE/GCwA4ABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T07:21:06.988636Z"},"content_sha256":"c25caf91fe25cef1772188693a01b5152a0d68a039c0845b4b3fb30a0a2ec302","schema_version":"1.0","event_id":"sha256:c25caf91fe25cef1772188693a01b5152a0d68a039c0845b4b3fb30a0a2ec302"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NQHVLLLFDBXCRC6FQXT6WLZ7Y2/bundle.json","state_url":"https://pith.science/pith/NQHVLLLFDBXCRC6FQXT6WLZ7Y2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NQHVLLLFDBXCRC6FQXT6WLZ7Y2/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":"2026-06-28T07:21:06Z","links":{"resolver":"https://pith.science/pith/NQHVLLLFDBXCRC6FQXT6WLZ7Y2","bundle":"https://pith.science/pith/NQHVLLLFDBXCRC6FQXT6WLZ7Y2/bundle.json","state":"https://pith.science/pith/NQHVLLLFDBXCRC6FQXT6WLZ7Y2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NQHVLLLFDBXCRC6FQXT6WLZ7Y2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NQHVLLLFDBXCRC6FQXT6WLZ7Y2","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":"35933e33a10eec3df2e742b81d9e56d6558631975d2085bc6316e42c319a3609","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-10T18:00:08Z","title_canon_sha256":"096dc8e64799b1a25b5a222d38e37d823f814366cd309e7b5e0870c10a184801"},"schema_version":"1.0","source":{"id":"1809.03516","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03516","created_at":"2026-05-18T00:00:50Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03516v1","created_at":"2026-05-18T00:00:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03516","created_at":"2026-05-18T00:00:50Z"},{"alias_kind":"pith_short_12","alias_value":"NQHVLLLFDBXC","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NQHVLLLFDBXCRC6F","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NQHVLLLF","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:c25caf91fe25cef1772188693a01b5152a0d68a039c0845b4b3fb30a0a2ec302","target":"graph","created_at":"2026-05-18T00:00:50Z","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":"The modular Hamiltonian of reduced states, given essentially by the logarithm of the reduced density matrix, plays an important role within the AdS/CFT correspondence in view of its relation to quantum information. In particular, it is an essential ingredient for quantum information measures of distances between states, such as the relative entropy and the Fisher information metric. However, the modular Hamiltonian is known explicitly only for a few examples. For a family of states $\\rho_\\lambda$ that is parametrized by a scalar $\\lambda$, the first order contribution in $\\tilde\\lambda=\\lambda","authors_text":"Johanna Erdmenger, Raimond Abt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-10T18:00:08Z","title":"Properties of Modular Hamiltonians on Entanglement Plateaux"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03516","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:e44fb9c52bb7e6fc4382af4a0989965e0e57eda0a1c573bf01ca8179890e2548","target":"record","created_at":"2026-05-18T00:00:50Z","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":"35933e33a10eec3df2e742b81d9e56d6558631975d2085bc6316e42c319a3609","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-10T18:00:08Z","title_canon_sha256":"096dc8e64799b1a25b5a222d38e37d823f814366cd309e7b5e0870c10a184801"},"schema_version":"1.0","source":{"id":"1809.03516","kind":"arxiv","version":1}},"canonical_sha256":"6c0f55ad65186e288bc585e7eb2f3fc6b7387bfa612a2dc793e44640bd1506ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c0f55ad65186e288bc585e7eb2f3fc6b7387bfa612a2dc793e44640bd1506ee","first_computed_at":"2026-05-18T00:00:50.381717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:50.381717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ENqeiYu4krqw0U/kW89byM4ZGLpyVqbzrWf8XADUO6h31IQEoc989eQ9CeNfbIBkG5mdo5uRe8pEq4ucrmjYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:50.382348Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.03516","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e44fb9c52bb7e6fc4382af4a0989965e0e57eda0a1c573bf01ca8179890e2548","sha256:c25caf91fe25cef1772188693a01b5152a0d68a039c0845b4b3fb30a0a2ec302"],"state_sha256":"cb8c33b0ae2ae34179c5b4c016b7488d24c7baf615eb9e98362d0f354ae75852"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RB9PBvpbWTdia5KyAyrnKiFoe0BN71CaVBIiKY5qjP669LKAB9Vat0Rl19LJCm22cPtdHKUHm+wz6zB+N+2ZDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T07:21:06.990523Z","bundle_sha256":"3d07a82c6af29d1a82e98f2a246b1f238432d4caeb0ec77f4abc04827c06df30"}}