{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:4VY3IMEFNO64SUVZ4SXRIAQCHW","short_pith_number":"pith:4VY3IMEF","canonical_record":{"source":{"id":"1907.01608","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-07-02T19:55:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f3f968abb1b3fab9b70200e2db3445882d0927ac71cb93abd3b9835faf058d42","abstract_canon_sha256":"9fd2912933516e9c76fbb60afa40ce12a7bfd34c32238a692b14783072cbd89a"},"schema_version":"1.0"},"canonical_sha256":"e571b430856bbdc952b9e4af1402023da2ff2c5af957dad08ee4cde83927f0ed","source":{"kind":"arxiv","id":"1907.01608","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.01608","created_at":"2026-07-05T00:56:28Z"},{"alias_kind":"arxiv_version","alias_value":"1907.01608v2","created_at":"2026-07-05T00:56:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.01608","created_at":"2026-07-05T00:56:28Z"},{"alias_kind":"pith_short_12","alias_value":"4VY3IMEFNO64","created_at":"2026-07-05T00:56:28Z"},{"alias_kind":"pith_short_16","alias_value":"4VY3IMEFNO64SUVZ","created_at":"2026-07-05T00:56:28Z"},{"alias_kind":"pith_short_8","alias_value":"4VY3IMEF","created_at":"2026-07-05T00:56:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:4VY3IMEFNO64SUVZ4SXRIAQCHW","target":"record","payload":{"canonical_record":{"source":{"id":"1907.01608","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-07-02T19:55:38Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f3f968abb1b3fab9b70200e2db3445882d0927ac71cb93abd3b9835faf058d42","abstract_canon_sha256":"9fd2912933516e9c76fbb60afa40ce12a7bfd34c32238a692b14783072cbd89a"},"schema_version":"1.0"},"canonical_sha256":"e571b430856bbdc952b9e4af1402023da2ff2c5af957dad08ee4cde83927f0ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:56:28.111200Z","signature_b64":"UK21O9kXnlOAKWwOnzxKWIjr02/rbtAuUxcuGcZHSvV+1e6Pl/CJmDSFdlxr5WZY4uamPfcsma1zCFnnRD/YDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e571b430856bbdc952b9e4af1402023da2ff2c5af957dad08ee4cde83927f0ed","last_reissued_at":"2026-07-05T00:56:28.110795Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:56:28.110795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.01608","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:56:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z+ST604C8AN1PMtyJjHrJnEIh9FR981/CobPGLDwpt9OV2r4hOciW08Ev56+tz4cfWg1KniZvnO/snYXc4fZAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T16:09:23.732984Z"},"content_sha256":"dfa6e27593534ecfd42449cf675d14ea583c12682459d0139c9ea222af74b528","schema_version":"1.0","event_id":"sha256:dfa6e27593534ecfd42449cf675d14ea583c12682459d0139c9ea222af74b528"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:4VY3IMEFNO64SUVZ4SXRIAQCHW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Entanglement Entropy in \\(d\\)-dimensions for Abelian Higher Gauge Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"J. P. Ibieta-Jimenez, L. N. Queiroz Xavier, M. Petrucci, P. Teotonio-Sobrinho","submitted_at":"2019-07-02T19:55:38Z","abstract_excerpt":"We compute the topological entanglement entropy for a large set of lattice models in $d$-dimensions. It is well known that many such quantum systems can be constructed out of lattice gauge models. For dimensionality higher than two, there are generalizations going beyond gauge theories, which are called higher gauge theories and rely on higher-order generalizations of groups. Our main concern is a large class of $d$-dimensional quantum systems derived from Abelian higher gauge theories. In this paper, we derive a general formula for the bipartition entanglement entropy for this class of models"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.01608","kind":"arxiv","version":2},"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/1907.01608/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":"2026-07-05T00:56:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9bILoz19oHOsW9+GWaWZxGmfnuzuJpZrcEzTePuiOPaSdRXSHLTb0qNxDDZUB6x4ZGAC9BjpLMeQ6ESO/JJtBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T16:09:23.733594Z"},"content_sha256":"56de30f4da718432ea3436785a2bdcf3c5071158b729aa6f02d6adecc6c63a32","schema_version":"1.0","event_id":"sha256:56de30f4da718432ea3436785a2bdcf3c5071158b729aa6f02d6adecc6c63a32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4VY3IMEFNO64SUVZ4SXRIAQCHW/bundle.json","state_url":"https://pith.science/pith/4VY3IMEFNO64SUVZ4SXRIAQCHW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4VY3IMEFNO64SUVZ4SXRIAQCHW/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":"2026-08-15T16:09:23Z","links":{"resolver":"https://pith.science/pith/4VY3IMEFNO64SUVZ4SXRIAQCHW","bundle":"https://pith.science/pith/4VY3IMEFNO64SUVZ4SXRIAQCHW/bundle.json","state":"https://pith.science/pith/4VY3IMEFNO64SUVZ4SXRIAQCHW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4VY3IMEFNO64SUVZ4SXRIAQCHW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:4VY3IMEFNO64SUVZ4SXRIAQCHW","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":"9fd2912933516e9c76fbb60afa40ce12a7bfd34c32238a692b14783072cbd89a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-07-02T19:55:38Z","title_canon_sha256":"f3f968abb1b3fab9b70200e2db3445882d0927ac71cb93abd3b9835faf058d42"},"schema_version":"1.0","source":{"id":"1907.01608","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.01608","created_at":"2026-07-05T00:56:28Z"},{"alias_kind":"arxiv_version","alias_value":"1907.01608v2","created_at":"2026-07-05T00:56:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.01608","created_at":"2026-07-05T00:56:28Z"},{"alias_kind":"pith_short_12","alias_value":"4VY3IMEFNO64","created_at":"2026-07-05T00:56:28Z"},{"alias_kind":"pith_short_16","alias_value":"4VY3IMEFNO64SUVZ","created_at":"2026-07-05T00:56:28Z"},{"alias_kind":"pith_short_8","alias_value":"4VY3IMEF","created_at":"2026-07-05T00:56:28Z"}],"graph_snapshots":[{"event_id":"sha256:56de30f4da718432ea3436785a2bdcf3c5071158b729aa6f02d6adecc6c63a32","target":"graph","created_at":"2026-07-05T00:56:28Z","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/1907.01608/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the topological entanglement entropy for a large set of lattice models in $d$-dimensions. It is well known that many such quantum systems can be constructed out of lattice gauge models. For dimensionality higher than two, there are generalizations going beyond gauge theories, which are called higher gauge theories and rely on higher-order generalizations of groups. Our main concern is a large class of $d$-dimensional quantum systems derived from Abelian higher gauge theories. In this paper, we derive a general formula for the bipartition entanglement entropy for this class of models","authors_text":"J. P. Ibieta-Jimenez, L. N. Queiroz Xavier, M. Petrucci, P. Teotonio-Sobrinho","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-07-02T19:55:38Z","title":"Topological Entanglement Entropy in \\(d\\)-dimensions for Abelian Higher Gauge Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.01608","kind":"arxiv","version":2},"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:dfa6e27593534ecfd42449cf675d14ea583c12682459d0139c9ea222af74b528","target":"record","created_at":"2026-07-05T00:56:28Z","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":"9fd2912933516e9c76fbb60afa40ce12a7bfd34c32238a692b14783072cbd89a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-07-02T19:55:38Z","title_canon_sha256":"f3f968abb1b3fab9b70200e2db3445882d0927ac71cb93abd3b9835faf058d42"},"schema_version":"1.0","source":{"id":"1907.01608","kind":"arxiv","version":2}},"canonical_sha256":"e571b430856bbdc952b9e4af1402023da2ff2c5af957dad08ee4cde83927f0ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e571b430856bbdc952b9e4af1402023da2ff2c5af957dad08ee4cde83927f0ed","first_computed_at":"2026-07-05T00:56:28.110795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:56:28.110795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UK21O9kXnlOAKWwOnzxKWIjr02/rbtAuUxcuGcZHSvV+1e6Pl/CJmDSFdlxr5WZY4uamPfcsma1zCFnnRD/YDA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:56:28.111200Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.01608","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfa6e27593534ecfd42449cf675d14ea583c12682459d0139c9ea222af74b528","sha256:56de30f4da718432ea3436785a2bdcf3c5071158b729aa6f02d6adecc6c63a32"],"state_sha256":"b2783c9be26be9f693c9fc32dbaedbcaa70a670d3d3049e7075990688b0f8836"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zHPRz661VcOCVvcodL1fPZE399UBbKuvqK40U84wBGNay1ECMWewXdwC8yE4gLlXNRiH/TQOYIci1xQA8smWCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T16:09:23.739666Z","bundle_sha256":"4f7983ce08adbdea70debe015e8f33d906d6cb4e12ff7ea15fc32eedba087a82"}}