{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:YDDV3CJSHOCCFLHHZHB5LMNK52","short_pith_number":"pith:YDDV3CJS","canonical_record":{"source":{"id":"1902.02243","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-06T15:45:55Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"b0c561978254a5fcf7225d982f81a2e6c7305996ff1b6fd917b84d26babedfb8","abstract_canon_sha256":"0395e021007f182a0cd0f77122c95848a2dd3ae50d894d2b9ede944989f457a9"},"schema_version":"1.0"},"canonical_sha256":"c0c75d89323b8422ace7c9c3d5b1aaee8882d125ba092f3779a09b46a68e13c1","source":{"kind":"arxiv","id":"1902.02243","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02243","created_at":"2026-07-05T00:05:22Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02243v3","created_at":"2026-07-05T00:05:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02243","created_at":"2026-07-05T00:05:22Z"},{"alias_kind":"pith_short_12","alias_value":"YDDV3CJSHOCC","created_at":"2026-07-05T00:05:22Z"},{"alias_kind":"pith_short_16","alias_value":"YDDV3CJSHOCCFLHH","created_at":"2026-07-05T00:05:22Z"},{"alias_kind":"pith_short_8","alias_value":"YDDV3CJS","created_at":"2026-07-05T00:05:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:YDDV3CJSHOCCFLHHZHB5LMNK52","target":"record","payload":{"canonical_record":{"source":{"id":"1902.02243","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-06T15:45:55Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"b0c561978254a5fcf7225d982f81a2e6c7305996ff1b6fd917b84d26babedfb8","abstract_canon_sha256":"0395e021007f182a0cd0f77122c95848a2dd3ae50d894d2b9ede944989f457a9"},"schema_version":"1.0"},"canonical_sha256":"c0c75d89323b8422ace7c9c3d5b1aaee8882d125ba092f3779a09b46a68e13c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:05:22.789883Z","signature_b64":"HcHbg7xhId39Cpm3qErrPTkk4cGpfKXhMfmAh/1YkjGw6x1wAav2TbsIsA9rV16NLeOwc13FGsMg1mn9KMiwDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0c75d89323b8422ace7c9c3d5b1aaee8882d125ba092f3779a09b46a68e13c1","last_reissued_at":"2026-07-05T00:05:22.789419Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:05:22.789419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.02243","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:05:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qC0vqhdrPBKBHmq/xm4n2CrANoZ3MiCZ/7uW6zLq9c49RMsnp8wRMBLvh48+9MgffpHEu/2kVPDHexV3lan9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:45:21.606263Z"},"content_sha256":"b78166c637a3bc0cd4ceed4ef06242883749c4073f8517b07eff7f88fc9970cc","schema_version":"1.0","event_id":"sha256:b78166c637a3bc0cd4ceed4ef06242883749c4073f8517b07eff7f88fc9970cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:YDDV3CJSHOCCFLHHZHB5LMNK52","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement of Purification in Holographic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Chao Niu, Jian-Pin Wu, Peng Liu, Yi Ling","submitted_at":"2019-02-06T15:45:55Z","abstract_excerpt":"The holographic entanglement of purification (EoP) in AdS$_{4}$ and AdS-RN black hole backgrounds is studied. We develop an algorithm to compute the EoP for bipartite configuration with infinitely long strips. The temperature behavior of EoP is revealed for small, intermediate and large configurations: EoP monotonically increases with the temperature for small configurations; while for intermediate configurations, EoP is configuration-dependent; EoP vanishes for large configurations. Our numerical results verify some important inequalities of EoP, which we also prove geometrically in Poincar\\'"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02243","kind":"arxiv","version":3},"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/1902.02243/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":"2026-07-05T00:05:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0TWILWwsghcIvv1u7Sy/cf5wVe+NvFNPJzT1xdWuP0o0+ZHc8h5qKzcO15TTMdK/+c9uVhiPStMaaPSVbhGBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:45:21.607159Z"},"content_sha256":"8fff6a8bec59dd4017421680b97ebd603701360a878acae47dd0d149eccdc0e7","schema_version":"1.0","event_id":"sha256:8fff6a8bec59dd4017421680b97ebd603701360a878acae47dd0d149eccdc0e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YDDV3CJSHOCCFLHHZHB5LMNK52/bundle.json","state_url":"https://pith.science/pith/YDDV3CJSHOCCFLHHZHB5LMNK52/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YDDV3CJSHOCCFLHHZHB5LMNK52/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":"2026-08-04T07:45:21Z","links":{"resolver":"https://pith.science/pith/YDDV3CJSHOCCFLHHZHB5LMNK52","bundle":"https://pith.science/pith/YDDV3CJSHOCCFLHHZHB5LMNK52/bundle.json","state":"https://pith.science/pith/YDDV3CJSHOCCFLHHZHB5LMNK52/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YDDV3CJSHOCCFLHHZHB5LMNK52/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YDDV3CJSHOCCFLHHZHB5LMNK52","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":"0395e021007f182a0cd0f77122c95848a2dd3ae50d894d2b9ede944989f457a9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-06T15:45:55Z","title_canon_sha256":"b0c561978254a5fcf7225d982f81a2e6c7305996ff1b6fd917b84d26babedfb8"},"schema_version":"1.0","source":{"id":"1902.02243","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02243","created_at":"2026-07-05T00:05:22Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02243v3","created_at":"2026-07-05T00:05:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02243","created_at":"2026-07-05T00:05:22Z"},{"alias_kind":"pith_short_12","alias_value":"YDDV3CJSHOCC","created_at":"2026-07-05T00:05:22Z"},{"alias_kind":"pith_short_16","alias_value":"YDDV3CJSHOCCFLHH","created_at":"2026-07-05T00:05:22Z"},{"alias_kind":"pith_short_8","alias_value":"YDDV3CJS","created_at":"2026-07-05T00:05:22Z"}],"graph_snapshots":[{"event_id":"sha256:8fff6a8bec59dd4017421680b97ebd603701360a878acae47dd0d149eccdc0e7","target":"graph","created_at":"2026-07-05T00:05:22Z","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/1902.02243/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The holographic entanglement of purification (EoP) in AdS$_{4}$ and AdS-RN black hole backgrounds is studied. We develop an algorithm to compute the EoP for bipartite configuration with infinitely long strips. The temperature behavior of EoP is revealed for small, intermediate and large configurations: EoP monotonically increases with the temperature for small configurations; while for intermediate configurations, EoP is configuration-dependent; EoP vanishes for large configurations. Our numerical results verify some important inequalities of EoP, which we also prove geometrically in Poincar\\'","authors_text":"Chao Niu, Jian-Pin Wu, Peng Liu, Yi Ling","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-06T15:45:55Z","title":"Entanglement of Purification in Holographic Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02243","kind":"arxiv","version":3},"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:b78166c637a3bc0cd4ceed4ef06242883749c4073f8517b07eff7f88fc9970cc","target":"record","created_at":"2026-07-05T00:05:22Z","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":"0395e021007f182a0cd0f77122c95848a2dd3ae50d894d2b9ede944989f457a9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-06T15:45:55Z","title_canon_sha256":"b0c561978254a5fcf7225d982f81a2e6c7305996ff1b6fd917b84d26babedfb8"},"schema_version":"1.0","source":{"id":"1902.02243","kind":"arxiv","version":3}},"canonical_sha256":"c0c75d89323b8422ace7c9c3d5b1aaee8882d125ba092f3779a09b46a68e13c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0c75d89323b8422ace7c9c3d5b1aaee8882d125ba092f3779a09b46a68e13c1","first_computed_at":"2026-07-05T00:05:22.789419Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:05:22.789419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HcHbg7xhId39Cpm3qErrPTkk4cGpfKXhMfmAh/1YkjGw6x1wAav2TbsIsA9rV16NLeOwc13FGsMg1mn9KMiwDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:05:22.789883Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.02243","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b78166c637a3bc0cd4ceed4ef06242883749c4073f8517b07eff7f88fc9970cc","sha256:8fff6a8bec59dd4017421680b97ebd603701360a878acae47dd0d149eccdc0e7"],"state_sha256":"0d3aed063888a27e5d2a196f14e73a541940bd2d0681ed9479e5ecda9a6d1a74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FEK/QSzx7b00hVmIAjtul5wuRRE2BGgDVvQDWnBR7vOk88a/UnwM9ZVL3LZWixw2yztF6OY2nP52YA2Hug1LDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T07:45:21.678381Z","bundle_sha256":"85ed0d38b05127fbb018a75aff001023c2211e8bc1077f593c7c4af7b4436690"}}