{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:XDFXXX5W4UAHBOFDJR7XNXI75J","short_pith_number":"pith:XDFXXX5W","canonical_record":{"source":{"id":"quant-ph/0503219","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-03-29T15:10:09Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f90a0241a547349e30bb349a554db75b8cb493f0704d2ea03642e03186a660da","abstract_canon_sha256":"3260caf73339d9157c64e15c3dabba18532f6abb5923a3a6e0621e82140adb7b"},"schema_version":"1.0"},"canonical_sha256":"b8cb7bdfb6e50070b8a34c7f76dd1fea6b6750b9854c9640a41f6a1e9ada45ac","source":{"kind":"arxiv","id":"quant-ph/0503219","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0503219","created_at":"2026-07-04T16:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0503219v4","created_at":"2026-07-04T16:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0503219","created_at":"2026-07-04T16:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"XDFXXX5W4UAH","created_at":"2026-07-04T16:57:32Z"},{"alias_kind":"pith_short_16","alias_value":"XDFXXX5W4UAHBOFD","created_at":"2026-07-04T16:57:32Z"},{"alias_kind":"pith_short_8","alias_value":"XDFXXX5W","created_at":"2026-07-04T16:57:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:XDFXXX5W4UAHBOFDJR7XNXI75J","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0503219","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-03-29T15:10:09Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f90a0241a547349e30bb349a554db75b8cb493f0704d2ea03642e03186a660da","abstract_canon_sha256":"3260caf73339d9157c64e15c3dabba18532f6abb5923a3a6e0621e82140adb7b"},"schema_version":"1.0"},"canonical_sha256":"b8cb7bdfb6e50070b8a34c7f76dd1fea6b6750b9854c9640a41f6a1e9ada45ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:57:32.097428Z","signature_b64":"aFIvV+vXK5cqRGXt4Ierug0kAY4VWPJWGYzv2m/eq3CvEKTz+wSyITgJsYjuzYHbkGkbWm3sCcO2nHJdfQ7zCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8cb7bdfb6e50070b8a34c7f76dd1fea6b6750b9854c9640a41f6a1e9ada45ac","last_reissued_at":"2026-07-04T16:57:32.097067Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:57:32.097067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0503219","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MM2H/15nw2IGy0q3NSsVwNhnxzRgur6EpWPKKongKnSHne/YewASFmiB86eADJvKa1Jflpx6mFNy8z15b4KMCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T16:14:56.858061Z"},"content_sha256":"63b220103d7e4f908ea26f8cdfd2bbfef71bb824b626d873fa0065ec6df12b9e","schema_version":"1.0","event_id":"sha256:63b220103d7e4f908ea26f8cdfd2bbfef71bb824b626d873fa0065ec6df12b9e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:XDFXXX5W4UAHBOFDJR7XNXI75J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Violation of the entropic area law for Fermions","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Michael M. Wolf","submitted_at":"2005-03-29T15:10:09Z","abstract_excerpt":"We investigate the scaling of the entanglement entropy in an infinite translational invariant Fermionic system of any spatial dimension. The states under consideration are ground states and excitations of tight-binding Hamiltonians with arbitrary interactions. We show that the entropy of a finite region typically scales with the area of the surface times a logarithmic correction. Thus, in contrast to analogous Bosonic systems, the entropic area law is violated for Fermions. The relation between the entanglement entropy and the structure of the Fermi surface is discussed, and it is proven, that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0503219","kind":"arxiv","version":4},"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/quant-ph/0503219/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":"2026-07-04T16:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yWgp5xQjelkV/kDcRBLFJ6ybJxwn9LWB1oZf6uNZNOxvOy21F/HTOG0YnsURRtz2iU4CUNMrIiFqXy7eZGbuCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T16:14:56.859029Z"},"content_sha256":"3813de90c20f70be0012adaaf9de131f825c1cf79159c09a27e690ff534cad10","schema_version":"1.0","event_id":"sha256:3813de90c20f70be0012adaaf9de131f825c1cf79159c09a27e690ff534cad10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XDFXXX5W4UAHBOFDJR7XNXI75J/bundle.json","state_url":"https://pith.science/pith/XDFXXX5W4UAHBOFDJR7XNXI75J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XDFXXX5W4UAHBOFDJR7XNXI75J/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":"2026-08-20T16:14:56Z","links":{"resolver":"https://pith.science/pith/XDFXXX5W4UAHBOFDJR7XNXI75J","bundle":"https://pith.science/pith/XDFXXX5W4UAHBOFDJR7XNXI75J/bundle.json","state":"https://pith.science/pith/XDFXXX5W4UAHBOFDJR7XNXI75J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XDFXXX5W4UAHBOFDJR7XNXI75J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:XDFXXX5W4UAHBOFDJR7XNXI75J","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":"3260caf73339d9157c64e15c3dabba18532f6abb5923a3a6e0621e82140adb7b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"quant-ph","submitted_at":"2005-03-29T15:10:09Z","title_canon_sha256":"f90a0241a547349e30bb349a554db75b8cb493f0704d2ea03642e03186a660da"},"schema_version":"1.0","source":{"id":"quant-ph/0503219","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0503219","created_at":"2026-07-04T16:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0503219v4","created_at":"2026-07-04T16:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0503219","created_at":"2026-07-04T16:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"XDFXXX5W4UAH","created_at":"2026-07-04T16:57:32Z"},{"alias_kind":"pith_short_16","alias_value":"XDFXXX5W4UAHBOFD","created_at":"2026-07-04T16:57:32Z"},{"alias_kind":"pith_short_8","alias_value":"XDFXXX5W","created_at":"2026-07-04T16:57:32Z"}],"graph_snapshots":[{"event_id":"sha256:3813de90c20f70be0012adaaf9de131f825c1cf79159c09a27e690ff534cad10","target":"graph","created_at":"2026-07-04T16:57:32Z","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/quant-ph/0503219/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the scaling of the entanglement entropy in an infinite translational invariant Fermionic system of any spatial dimension. The states under consideration are ground states and excitations of tight-binding Hamiltonians with arbitrary interactions. We show that the entropy of a finite region typically scales with the area of the surface times a logarithmic correction. Thus, in contrast to analogous Bosonic systems, the entropic area law is violated for Fermions. The relation between the entanglement entropy and the structure of the Fermi surface is discussed, and it is proven, that","authors_text":"Michael M. Wolf","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2005-03-29T15:10:09Z","title":"Violation of the entropic area law for Fermions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0503219","kind":"arxiv","version":4},"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":"sha256:63b220103d7e4f908ea26f8cdfd2bbfef71bb824b626d873fa0065ec6df12b9e","target":"record","created_at":"2026-07-04T16:57:32Z","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":"3260caf73339d9157c64e15c3dabba18532f6abb5923a3a6e0621e82140adb7b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"quant-ph","submitted_at":"2005-03-29T15:10:09Z","title_canon_sha256":"f90a0241a547349e30bb349a554db75b8cb493f0704d2ea03642e03186a660da"},"schema_version":"1.0","source":{"id":"quant-ph/0503219","kind":"arxiv","version":4}},"canonical_sha256":"b8cb7bdfb6e50070b8a34c7f76dd1fea6b6750b9854c9640a41f6a1e9ada45ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8cb7bdfb6e50070b8a34c7f76dd1fea6b6750b9854c9640a41f6a1e9ada45ac","first_computed_at":"2026-07-04T16:57:32.097067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:57:32.097067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aFIvV+vXK5cqRGXt4Ierug0kAY4VWPJWGYzv2m/eq3CvEKTz+wSyITgJsYjuzYHbkGkbWm3sCcO2nHJdfQ7zCA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:57:32.097428Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0503219","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63b220103d7e4f908ea26f8cdfd2bbfef71bb824b626d873fa0065ec6df12b9e","sha256:3813de90c20f70be0012adaaf9de131f825c1cf79159c09a27e690ff534cad10"],"state_sha256":"02eef56f9c8b0973e822d75bcf01efc5433c40469d97f4f41c3338ce042f3d97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mdi8dsP9C8wD+P30WManmHQW2m2qKMDX0OtMUp8rot7Cm1Bwpd3hhUDHXpY5UvP5Ym/TdwB9vyKVU6XP5oubBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T16:14:56.865819Z","bundle_sha256":"478dc818d25049840c7b9e21b98c5e791ff92e0e5da60c76a706ad40588b7db0"}}