{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:MF3D5SZAZJQLXXAETZPNMDBBZ6","short_pith_number":"pith:MF3D5SZA","canonical_record":{"source":{"id":"1906.09376","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-06-22T03:15:54Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"ffd1873fb77e629afa3809fb08f3ab16f8997bca4d459958b729fd8500ea4e7a","abstract_canon_sha256":"e48b5dced23145432eb0355beaa2e26cb8f7ae0b4c4211e70becd1de719f80f3"},"schema_version":"1.0"},"canonical_sha256":"61763ecb20ca60bbdc049e5ed60c21cf9c75c23e21e84597d0d5401cbd23004e","source":{"kind":"arxiv","id":"1906.09376","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09376","created_at":"2026-07-05T01:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09376v3","created_at":"2026-07-05T01:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09376","created_at":"2026-07-05T01:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"MF3D5SZAZJQL","created_at":"2026-07-05T01:08:59Z"},{"alias_kind":"pith_short_16","alias_value":"MF3D5SZAZJQLXXAE","created_at":"2026-07-05T01:08:59Z"},{"alias_kind":"pith_short_8","alias_value":"MF3D5SZA","created_at":"2026-07-05T01:08:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:MF3D5SZAZJQLXXAETZPNMDBBZ6","target":"record","payload":{"canonical_record":{"source":{"id":"1906.09376","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-06-22T03:15:54Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"ffd1873fb77e629afa3809fb08f3ab16f8997bca4d459958b729fd8500ea4e7a","abstract_canon_sha256":"e48b5dced23145432eb0355beaa2e26cb8f7ae0b4c4211e70becd1de719f80f3"},"schema_version":"1.0"},"canonical_sha256":"61763ecb20ca60bbdc049e5ed60c21cf9c75c23e21e84597d0d5401cbd23004e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:08:59.963238Z","signature_b64":"gsVCfcFAH8qWV1JMBzUVhOFNuVTDVoKGoNEwpezm74j2SuwhSlUQzdMOndzgnqk1741xJSOlxFpCUp1/dz79Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61763ecb20ca60bbdc049e5ed60c21cf9c75c23e21e84597d0d5401cbd23004e","last_reissued_at":"2026-07-05T01:08:59.962826Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:08:59.962826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.09376","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":"2026-07-05T01:08:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XyO/rS7pWds2fak6jWrjssMtvySY0gcdiFm4rSIyNcv2rxv3qjn+VBqEvYIr4RD7PnNiV859VaUgUUQJKI6ABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-28T06:45:48.788801Z"},"content_sha256":"2abeb3ddeefbc660c1e040b598628739a519b2097cf982aa001d5dc05b0a29c1","schema_version":"1.0","event_id":"sha256:2abeb3ddeefbc660c1e040b598628739a519b2097cf982aa001d5dc05b0a29c1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:MF3D5SZAZJQLXXAETZPNMDBBZ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fusion rules from entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Bowen Shi, Isaac H. Kim, Kohtaro Kato","submitted_at":"2019-06-22T03:15:54Z","abstract_excerpt":"We derive some of the axioms of the algebraic theory of anyon [A. Kitaev, Ann. Phys., 321, 2 (2006)] from a conjectured form of entanglement area law for two-dimensional gapped systems. We derive the fusion rules of topological charges and show that the multiplicities of the fusion rules satisfy these axioms. Moreover, even though we make no assumption about the exact value of the constant sub-leading term of the entanglement entropy of a disk-like region, this term is shown to be equal to $\\ln \\mathcal{D}$, where $\\mathcal{D}$ is the total quantum dimension of the underlying anyon theory. The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09376","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/1906.09376/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":"2026-07-05T01:08:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XtO9R2jmkC4sW+xK/ymsyemKtYmIbtUFoeeyLMf2wyQ5F5Z5vIlhLxBsi91s+710gSStfqZFbxYnCAuWH9ffAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-28T06:45:48.789185Z"},"content_sha256":"35aa095f80226ce145293fe19dcde3ddc0317239c9fce0a1820b202b5d475ac4","schema_version":"1.0","event_id":"sha256:35aa095f80226ce145293fe19dcde3ddc0317239c9fce0a1820b202b5d475ac4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MF3D5SZAZJQLXXAETZPNMDBBZ6/bundle.json","state_url":"https://pith.science/pith/MF3D5SZAZJQLXXAETZPNMDBBZ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MF3D5SZAZJQLXXAETZPNMDBBZ6/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":"2026-07-28T06:45:48Z","links":{"resolver":"https://pith.science/pith/MF3D5SZAZJQLXXAETZPNMDBBZ6","bundle":"https://pith.science/pith/MF3D5SZAZJQLXXAETZPNMDBBZ6/bundle.json","state":"https://pith.science/pith/MF3D5SZAZJQLXXAETZPNMDBBZ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MF3D5SZAZJQLXXAETZPNMDBBZ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MF3D5SZAZJQLXXAETZPNMDBBZ6","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":"e48b5dced23145432eb0355beaa2e26cb8f7ae0b4c4211e70becd1de719f80f3","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-06-22T03:15:54Z","title_canon_sha256":"ffd1873fb77e629afa3809fb08f3ab16f8997bca4d459958b729fd8500ea4e7a"},"schema_version":"1.0","source":{"id":"1906.09376","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09376","created_at":"2026-07-05T01:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09376v3","created_at":"2026-07-05T01:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09376","created_at":"2026-07-05T01:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"MF3D5SZAZJQL","created_at":"2026-07-05T01:08:59Z"},{"alias_kind":"pith_short_16","alias_value":"MF3D5SZAZJQLXXAE","created_at":"2026-07-05T01:08:59Z"},{"alias_kind":"pith_short_8","alias_value":"MF3D5SZA","created_at":"2026-07-05T01:08:59Z"}],"graph_snapshots":[{"event_id":"sha256:35aa095f80226ce145293fe19dcde3ddc0317239c9fce0a1820b202b5d475ac4","target":"graph","created_at":"2026-07-05T01:08:59Z","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/1906.09376/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive some of the axioms of the algebraic theory of anyon [A. Kitaev, Ann. Phys., 321, 2 (2006)] from a conjectured form of entanglement area law for two-dimensional gapped systems. We derive the fusion rules of topological charges and show that the multiplicities of the fusion rules satisfy these axioms. Moreover, even though we make no assumption about the exact value of the constant sub-leading term of the entanglement entropy of a disk-like region, this term is shown to be equal to $\\ln \\mathcal{D}$, where $\\mathcal{D}$ is the total quantum dimension of the underlying anyon theory. The","authors_text":"Bowen Shi, Isaac H. Kim, Kohtaro Kato","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-06-22T03:15:54Z","title":"Fusion rules from entanglement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09376","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":"sha256:2abeb3ddeefbc660c1e040b598628739a519b2097cf982aa001d5dc05b0a29c1","target":"record","created_at":"2026-07-05T01:08:59Z","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":"e48b5dced23145432eb0355beaa2e26cb8f7ae0b4c4211e70becd1de719f80f3","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-06-22T03:15:54Z","title_canon_sha256":"ffd1873fb77e629afa3809fb08f3ab16f8997bca4d459958b729fd8500ea4e7a"},"schema_version":"1.0","source":{"id":"1906.09376","kind":"arxiv","version":3}},"canonical_sha256":"61763ecb20ca60bbdc049e5ed60c21cf9c75c23e21e84597d0d5401cbd23004e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61763ecb20ca60bbdc049e5ed60c21cf9c75c23e21e84597d0d5401cbd23004e","first_computed_at":"2026-07-05T01:08:59.962826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:08:59.962826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gsVCfcFAH8qWV1JMBzUVhOFNuVTDVoKGoNEwpezm74j2SuwhSlUQzdMOndzgnqk1741xJSOlxFpCUp1/dz79Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:08:59.963238Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.09376","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2abeb3ddeefbc660c1e040b598628739a519b2097cf982aa001d5dc05b0a29c1","sha256:35aa095f80226ce145293fe19dcde3ddc0317239c9fce0a1820b202b5d475ac4"],"state_sha256":"e00f4a445a82bea6b971000f29d981d4f66f407eec1be9504edbd641c8f750be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X9f9LNHQgRGdhavueopspeKMt6Pl83Ch8snOa2wIOvXEMXEZm6H0C2Dg1vKNfXG7IPSHh090OSkfESg+dFbOBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-28T06:45:48.791803Z","bundle_sha256":"e251f408d9983a7ac5ac17cdc66e10efbb4970ca9cc2851f4be000492d51eea5"}}