{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:MAY5ZOQO2TBUJZZKV7PEN5E63H","short_pith_number":"pith:MAY5ZOQO","canonical_record":{"source":{"id":"0706.2480","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-06-17T16:43:41Z","cross_cats_sorted":[],"title_canon_sha256":"69b709002d37a4eb618dc59ef3443a1665f25b18c4283aaaecf088b0b4fa0a25","abstract_canon_sha256":"2a30e84fbdb96976867daf15f69330f5bf11e3f246926d55a167eac750a5a57c"},"schema_version":"1.0"},"canonical_sha256":"6031dcba0ed4c344e72aafde46f49ed9fd2e3473abca5969351c2cf33a913a23","source":{"kind":"arxiv","id":"0706.2480","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2480","created_at":"2026-07-04T15:38:56Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2480v3","created_at":"2026-07-04T15:38:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2480","created_at":"2026-07-04T15:38:56Z"},{"alias_kind":"pith_short_12","alias_value":"MAY5ZOQO2TBU","created_at":"2026-07-04T15:38:56Z"},{"alias_kind":"pith_short_16","alias_value":"MAY5ZOQO2TBUJZZK","created_at":"2026-07-04T15:38:56Z"},{"alias_kind":"pith_short_8","alias_value":"MAY5ZOQO","created_at":"2026-07-04T15:38:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:MAY5ZOQO2TBUJZZKV7PEN5E63H","target":"record","payload":{"canonical_record":{"source":{"id":"0706.2480","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-06-17T16:43:41Z","cross_cats_sorted":[],"title_canon_sha256":"69b709002d37a4eb618dc59ef3443a1665f25b18c4283aaaecf088b0b4fa0a25","abstract_canon_sha256":"2a30e84fbdb96976867daf15f69330f5bf11e3f246926d55a167eac750a5a57c"},"schema_version":"1.0"},"canonical_sha256":"6031dcba0ed4c344e72aafde46f49ed9fd2e3473abca5969351c2cf33a913a23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:38:56.430982Z","signature_b64":"t2LwBdg0cxMIFPR2glbWu5H8vOF/tK3tWiuOjgOl/ofPBaKZKfEskqpbQndvX5E43o3/VXhQuKHiV3vOliQcBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6031dcba0ed4c344e72aafde46f49ed9fd2e3473abca5969351c2cf33a913a23","last_reissued_at":"2026-07-04T15:38:56.430574Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:38:56.430574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0706.2480","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":"2026-07-04T15:38:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L4eFYr7QPoC8VIAXsPMaKxInNggxqH1JqkJTxXV5ui11Ar/sLzgwp6wqOBPBvuzafhHwsZBLbsX3kVGNUh1WBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:18:15.810876Z"},"content_sha256":"360e1ffd56435226a141652d923a3b074f2cd28e5fb69876a9dee86c9b323873","schema_version":"1.0","event_id":"sha256:360e1ffd56435226a141652d923a3b074f2cd28e5fb69876a9dee86c9b323873"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:MAY5ZOQO2TBUJZZKV7PEN5E63H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Operator space entanglement entropy in transverse Ising chain","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Iztok Pizorn, Tomaz Prosen","submitted_at":"2007-06-17T16:43:41Z","abstract_excerpt":"The efficiency of time dependent density matrix renormalization group methods is intrinsically connected with the rate of entanglement growth. We introduce a new measure of entanglement in the space of operators and show, for transverse Ising spin 1/2 chain, that the simulation of observables, contrary to simulation of typical pure quantum states, is efficient for initial local operators. For initial operators with a finite index in Majorana representation, the operator space entanglement entropy saturates with time to a level which is calculated analytically, while for initial operators with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2480","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/0706.2480/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":"2026-07-04T15:38:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zb7temwjOlqJFamVR/QEbprXITppDylPjj4GlkdxWReV9hGpKPGnBoTqvrfwY9sFXcLCFn6jbU4uDnTjL4BzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:18:15.811343Z"},"content_sha256":"939c2109cc5f1566b0fe4496fb6ac024445fff783a8e751a36d3967cdc923b28","schema_version":"1.0","event_id":"sha256:939c2109cc5f1566b0fe4496fb6ac024445fff783a8e751a36d3967cdc923b28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MAY5ZOQO2TBUJZZKV7PEN5E63H/bundle.json","state_url":"https://pith.science/pith/MAY5ZOQO2TBUJZZKV7PEN5E63H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MAY5ZOQO2TBUJZZKV7PEN5E63H/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":"2026-08-11T00:18:15Z","links":{"resolver":"https://pith.science/pith/MAY5ZOQO2TBUJZZKV7PEN5E63H","bundle":"https://pith.science/pith/MAY5ZOQO2TBUJZZKV7PEN5E63H/bundle.json","state":"https://pith.science/pith/MAY5ZOQO2TBUJZZKV7PEN5E63H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MAY5ZOQO2TBUJZZKV7PEN5E63H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:MAY5ZOQO2TBUJZZKV7PEN5E63H","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":"2a30e84fbdb96976867daf15f69330f5bf11e3f246926d55a167eac750a5a57c","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2007-06-17T16:43:41Z","title_canon_sha256":"69b709002d37a4eb618dc59ef3443a1665f25b18c4283aaaecf088b0b4fa0a25"},"schema_version":"1.0","source":{"id":"0706.2480","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2480","created_at":"2026-07-04T15:38:56Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2480v3","created_at":"2026-07-04T15:38:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2480","created_at":"2026-07-04T15:38:56Z"},{"alias_kind":"pith_short_12","alias_value":"MAY5ZOQO2TBU","created_at":"2026-07-04T15:38:56Z"},{"alias_kind":"pith_short_16","alias_value":"MAY5ZOQO2TBUJZZK","created_at":"2026-07-04T15:38:56Z"},{"alias_kind":"pith_short_8","alias_value":"MAY5ZOQO","created_at":"2026-07-04T15:38:56Z"}],"graph_snapshots":[{"event_id":"sha256:939c2109cc5f1566b0fe4496fb6ac024445fff783a8e751a36d3967cdc923b28","target":"graph","created_at":"2026-07-04T15:38:56Z","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/0706.2480/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The efficiency of time dependent density matrix renormalization group methods is intrinsically connected with the rate of entanglement growth. We introduce a new measure of entanglement in the space of operators and show, for transverse Ising spin 1/2 chain, that the simulation of observables, contrary to simulation of typical pure quantum states, is efficient for initial local operators. For initial operators with a finite index in Majorana representation, the operator space entanglement entropy saturates with time to a level which is calculated analytically, while for initial operators with ","authors_text":"Iztok Pizorn, Tomaz Prosen","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2007-06-17T16:43:41Z","title":"Operator space entanglement entropy in transverse Ising chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2480","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":"sha256:360e1ffd56435226a141652d923a3b074f2cd28e5fb69876a9dee86c9b323873","target":"record","created_at":"2026-07-04T15:38:56Z","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":"2a30e84fbdb96976867daf15f69330f5bf11e3f246926d55a167eac750a5a57c","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2007-06-17T16:43:41Z","title_canon_sha256":"69b709002d37a4eb618dc59ef3443a1665f25b18c4283aaaecf088b0b4fa0a25"},"schema_version":"1.0","source":{"id":"0706.2480","kind":"arxiv","version":3}},"canonical_sha256":"6031dcba0ed4c344e72aafde46f49ed9fd2e3473abca5969351c2cf33a913a23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6031dcba0ed4c344e72aafde46f49ed9fd2e3473abca5969351c2cf33a913a23","first_computed_at":"2026-07-04T15:38:56.430574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:38:56.430574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t2LwBdg0cxMIFPR2glbWu5H8vOF/tK3tWiuOjgOl/ofPBaKZKfEskqpbQndvX5E43o3/VXhQuKHiV3vOliQcBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:38:56.430982Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.2480","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:360e1ffd56435226a141652d923a3b074f2cd28e5fb69876a9dee86c9b323873","sha256:939c2109cc5f1566b0fe4496fb6ac024445fff783a8e751a36d3967cdc923b28"],"state_sha256":"ca76094a31c8b3f81a0e6d335b3c3ec9e89f3638dbf41aa6573df4561216ce1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5VL9Eas0TZP1q79AsRCQIRzOaQ62LXmFV/mkDolNSqoElIlrqgD8Nsg7dUF4blEk64MAqBRM5Hnf7xMFTcCmDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T00:18:15.815682Z","bundle_sha256":"20d49c60b0aec4a5a4a017d6d8d847959d73c8d71cbf1d541874c8ae0a48fe0d"}}