{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7PDQFZGG7QSK2GG5IZEWHMEQWN","short_pith_number":"pith:7PDQFZGG","canonical_record":{"source":{"id":"1612.08630","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-27T13:30:41Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","quant-ph"],"title_canon_sha256":"e6b22b071f0c1787327c74f26678bba25a20d3c1f1958158f928062ee9dc40da","abstract_canon_sha256":"20fccf44c10ea35cae4e8c7ccde869c0f8837eecdac7f8ade14b2fa1bb6b65a8"},"schema_version":"1.0"},"canonical_sha256":"fbc702e4c6fc24ad18dd464963b090b35ea8813ed21f95d0f2f785f002ce4468","source":{"kind":"arxiv","id":"1612.08630","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08630","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08630v3","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08630","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"7PDQFZGG7QSK","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7PDQFZGG7QSK2GG5","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7PDQFZGG","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7PDQFZGG7QSK2GG5IZEWHMEQWN","target":"record","payload":{"canonical_record":{"source":{"id":"1612.08630","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-27T13:30:41Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","quant-ph"],"title_canon_sha256":"e6b22b071f0c1787327c74f26678bba25a20d3c1f1958158f928062ee9dc40da","abstract_canon_sha256":"20fccf44c10ea35cae4e8c7ccde869c0f8837eecdac7f8ade14b2fa1bb6b65a8"},"schema_version":"1.0"},"canonical_sha256":"fbc702e4c6fc24ad18dd464963b090b35ea8813ed21f95d0f2f785f002ce4468","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:01.319670Z","signature_b64":"6IfCamelS+LcW95ivmSlrI0VUj/xVJqieGFLEgwhTh59uH380JVvIY15HTSOQfucXz/nROnPetHFC7PJyKYUCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbc702e4c6fc24ad18dd464963b090b35ea8813ed21f95d0f2f785f002ce4468","last_reissued_at":"2026-05-18T00:43:01.318887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:01.318887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.08630","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":"2026-05-18T00:43:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P0SR0JNYScIjbdwXsPxpw6VVdEdamjBPaFFR++OBfqRN1HzQFab+ay99Tysu/rnXqtc6xYbY3hLAwOyHsmRRDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T14:24:08.272096Z"},"content_sha256":"5c47e5152e72ee575567b210e178270c9d48e6a8d73a20440c2ae535a9201aa5","schema_version":"1.0","event_id":"sha256:5c47e5152e72ee575567b210e178270c9d48e6a8d73a20440c2ae535a9201aa5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7PDQFZGG7QSK2GG5IZEWHMEQWN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1+1d","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"J. Dubail","submitted_at":"2016-12-27T13:30:41Z","abstract_excerpt":"In one dimension, the area law and its implications for the approximability by Matrix Product States are the key to efficient numerical simulations involving quantum states. Similarly, in simulations involving quantum operators, the approximability by Matrix Product Operators (in Hilbert-Schmidt norm) is tied to an operator area law, namely the fact that the Operator Space Entanglement Entropy (OSEE)---the natural analog of entanglement entropy for operators, investigated by Zanardi [Phys. Rev. A 63, 040304(R) (2001)] and by Prosen and Pizorn [Phys. Rev. A 76, 032316 (2007)]---, is bounded. In"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08630","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":""},"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":"2026-05-18T00:43:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hgl0FgBR68aPIyNW4/x2BOVHPuXsFadkz+V24xAg1kBjLDPQEfKm3npuFfr/2epnkIByZduQ4s5aq4L4YhBwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T14:24:08.272799Z"},"content_sha256":"6b4d6e85445dde29c59234582fae283b341f7dbb1dd2b0bc37eb854cb23ca2d0","schema_version":"1.0","event_id":"sha256:6b4d6e85445dde29c59234582fae283b341f7dbb1dd2b0bc37eb854cb23ca2d0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7PDQFZGG7QSK2GG5IZEWHMEQWN/bundle.json","state_url":"https://pith.science/pith/7PDQFZGG7QSK2GG5IZEWHMEQWN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7PDQFZGG7QSK2GG5IZEWHMEQWN/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":"2026-05-25T14:24:08Z","links":{"resolver":"https://pith.science/pith/7PDQFZGG7QSK2GG5IZEWHMEQWN","bundle":"https://pith.science/pith/7PDQFZGG7QSK2GG5IZEWHMEQWN/bundle.json","state":"https://pith.science/pith/7PDQFZGG7QSK2GG5IZEWHMEQWN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7PDQFZGG7QSK2GG5IZEWHMEQWN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7PDQFZGG7QSK2GG5IZEWHMEQWN","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":"20fccf44c10ea35cae4e8c7ccde869c0f8837eecdac7f8ade14b2fa1bb6b65a8","cross_cats_sorted":["cond-mat.stat-mech","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-27T13:30:41Z","title_canon_sha256":"e6b22b071f0c1787327c74f26678bba25a20d3c1f1958158f928062ee9dc40da"},"schema_version":"1.0","source":{"id":"1612.08630","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08630","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08630v3","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08630","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"7PDQFZGG7QSK","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7PDQFZGG7QSK2GG5","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7PDQFZGG","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:6b4d6e85445dde29c59234582fae283b341f7dbb1dd2b0bc37eb854cb23ca2d0","target":"graph","created_at":"2026-05-18T00:43:01Z","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":"In one dimension, the area law and its implications for the approximability by Matrix Product States are the key to efficient numerical simulations involving quantum states. Similarly, in simulations involving quantum operators, the approximability by Matrix Product Operators (in Hilbert-Schmidt norm) is tied to an operator area law, namely the fact that the Operator Space Entanglement Entropy (OSEE)---the natural analog of entanglement entropy for operators, investigated by Zanardi [Phys. Rev. A 63, 040304(R) (2001)] and by Prosen and Pizorn [Phys. Rev. A 76, 032316 (2007)]---, is bounded. In","authors_text":"J. Dubail","cross_cats":["cond-mat.stat-mech","hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-27T13:30:41Z","title":"Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1+1d"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08630","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":"sha256:5c47e5152e72ee575567b210e178270c9d48e6a8d73a20440c2ae535a9201aa5","target":"record","created_at":"2026-05-18T00:43:01Z","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":"20fccf44c10ea35cae4e8c7ccde869c0f8837eecdac7f8ade14b2fa1bb6b65a8","cross_cats_sorted":["cond-mat.stat-mech","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-27T13:30:41Z","title_canon_sha256":"e6b22b071f0c1787327c74f26678bba25a20d3c1f1958158f928062ee9dc40da"},"schema_version":"1.0","source":{"id":"1612.08630","kind":"arxiv","version":3}},"canonical_sha256":"fbc702e4c6fc24ad18dd464963b090b35ea8813ed21f95d0f2f785f002ce4468","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbc702e4c6fc24ad18dd464963b090b35ea8813ed21f95d0f2f785f002ce4468","first_computed_at":"2026-05-18T00:43:01.318887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:01.318887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6IfCamelS+LcW95ivmSlrI0VUj/xVJqieGFLEgwhTh59uH380JVvIY15HTSOQfucXz/nROnPetHFC7PJyKYUCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:01.319670Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08630","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c47e5152e72ee575567b210e178270c9d48e6a8d73a20440c2ae535a9201aa5","sha256:6b4d6e85445dde29c59234582fae283b341f7dbb1dd2b0bc37eb854cb23ca2d0"],"state_sha256":"79e36cd76370d3c8528da9fc483515f68f55205aee9658895d42ab20aa889bd7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gPf0TbbzIdd6iQjdoP0o0qDf5cXL/s3rOYc8jxPoWyGOhu4AzbVTO1nqWd69bX6g2B+MoY9Jm47KlFesu1CGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T14:24:08.277187Z","bundle_sha256":"01840f8e629ed6c3ec0ff6a2bc216a82e5bf0d2a93c2512d29a78c84fbb9e928"}}