{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7N4HTAN7SQDBVG4OZR5UWH72IG","short_pith_number":"pith:7N4HTAN7","canonical_record":{"source":{"id":"1612.09298","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-29T20:58:14Z","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"title_canon_sha256":"c940d4f80d5e1ef01a55ec2d4e8cbf55dba42334185baa8ec59aabc09a39a8ba","abstract_canon_sha256":"9635db5437eca67a929c336270c610e0085c7258b318c98c1f61389adfc043ea"},"schema_version":"1.0"},"canonical_sha256":"fb787981bf94061a9b8ecc7b4b1ffa41a631353a24a160a391abcb91a13d749f","source":{"kind":"arxiv","id":"1612.09298","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.09298","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"arxiv_version","alias_value":"1612.09298v4","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.09298","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"pith_short_12","alias_value":"7N4HTAN7SQDB","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7N4HTAN7SQDBVG4O","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7N4HTAN7","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7N4HTAN7SQDBVG4OZR5UWH72IG","target":"record","payload":{"canonical_record":{"source":{"id":"1612.09298","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-29T20:58:14Z","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"title_canon_sha256":"c940d4f80d5e1ef01a55ec2d4e8cbf55dba42334185baa8ec59aabc09a39a8ba","abstract_canon_sha256":"9635db5437eca67a929c336270c610e0085c7258b318c98c1f61389adfc043ea"},"schema_version":"1.0"},"canonical_sha256":"fb787981bf94061a9b8ecc7b4b1ffa41a631353a24a160a391abcb91a13d749f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:29.805263Z","signature_b64":"WGlwKDJvRvRzpZ1QmRBkS3EdMeCWW6L/O+VVgDldwpsEBGcSKhYDnJCzOqkqnuAoguJx04LYH6kdWptcj4xOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb787981bf94061a9b8ecc7b4b1ffa41a631353a24a160a391abcb91a13d749f","last_reissued_at":"2026-05-18T00:14:29.804557Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:29.804557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.09298","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":"2026-05-18T00:14:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wD5HzKITvhMMb76I22Jo09y7z48fUaEAn8ZGoGgSF5lhC06BKq6KsDK4ZrfumQXTwD2LTEvJTOcujnvSrH4wAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:12:38.958603Z"},"content_sha256":"97db93ed529f6459f6f838d8c5dbacc46554568443b6ee6edc6ae588e62fceff","schema_version":"1.0","event_id":"sha256:97db93ed529f6459f6f838d8c5dbacc46554568443b6ee6edc6ae588e62fceff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7N4HTAN7SQDBVG4OZR5UWH72IG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.GT","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Juven Wang, Pavel Putrov, Shing-Tung Yau","submitted_at":"2016-12-29T20:58:14Z","abstract_excerpt":"Topological Quantum Field Theories (TQFTs) pertinent to some emergent low energy phenomena of condensed matter lattice models in 2+1 and 3+1D are explored. Many of our field theories are highly-interacting without free quadratic analogs. Some of our bosonic TQFTs can be regarded as the continuum field theory formulation of Dijkgraaf-Witten twisted discrete gauge theories. Other bosonic TQFTs beyond the Dijkgraaf-Witten description and all fermionic spin TQFTs are either higher-form gauge theories where particles must have strings attached, or fermionic discrete gauge theories obtained by gaugi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09298","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":""},"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":"2026-05-18T00:14:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iqXXg+oOo+/Oq15dqvrbzaWjcQC2vPnlanC98z9gapZJ8DMKiJ0GA9FqZfTCA61TMDrdb5vfWN5o7m29j+LHCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:12:38.958962Z"},"content_sha256":"28300dac6b219abba4c3fab10ad2c8cc20196a292c929edb0d079043d4423842","schema_version":"1.0","event_id":"sha256:28300dac6b219abba4c3fab10ad2c8cc20196a292c929edb0d079043d4423842"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7N4HTAN7SQDBVG4OZR5UWH72IG/bundle.json","state_url":"https://pith.science/pith/7N4HTAN7SQDBVG4OZR5UWH72IG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7N4HTAN7SQDBVG4OZR5UWH72IG/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":"2026-05-30T06:12:38Z","links":{"resolver":"https://pith.science/pith/7N4HTAN7SQDBVG4OZR5UWH72IG","bundle":"https://pith.science/pith/7N4HTAN7SQDBVG4OZR5UWH72IG/bundle.json","state":"https://pith.science/pith/7N4HTAN7SQDBVG4OZR5UWH72IG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7N4HTAN7SQDBVG4OZR5UWH72IG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7N4HTAN7SQDBVG4OZR5UWH72IG","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":"9635db5437eca67a929c336270c610e0085c7258b318c98c1f61389adfc043ea","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-29T20:58:14Z","title_canon_sha256":"c940d4f80d5e1ef01a55ec2d4e8cbf55dba42334185baa8ec59aabc09a39a8ba"},"schema_version":"1.0","source":{"id":"1612.09298","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.09298","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"arxiv_version","alias_value":"1612.09298v4","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.09298","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"pith_short_12","alias_value":"7N4HTAN7SQDB","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7N4HTAN7SQDBVG4O","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7N4HTAN7","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:28300dac6b219abba4c3fab10ad2c8cc20196a292c929edb0d079043d4423842","target":"graph","created_at":"2026-05-18T00:14:29Z","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":"Topological Quantum Field Theories (TQFTs) pertinent to some emergent low energy phenomena of condensed matter lattice models in 2+1 and 3+1D are explored. Many of our field theories are highly-interacting without free quadratic analogs. Some of our bosonic TQFTs can be regarded as the continuum field theory formulation of Dijkgraaf-Witten twisted discrete gauge theories. Other bosonic TQFTs beyond the Dijkgraaf-Witten description and all fermionic spin TQFTs are either higher-form gauge theories where particles must have strings attached, or fermionic discrete gauge theories obtained by gaugi","authors_text":"Juven Wang, Pavel Putrov, Shing-Tung Yau","cross_cats":["hep-th","math-ph","math.GT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-29T20:58:14Z","title":"Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09298","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":"sha256:97db93ed529f6459f6f838d8c5dbacc46554568443b6ee6edc6ae588e62fceff","target":"record","created_at":"2026-05-18T00:14:29Z","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":"9635db5437eca67a929c336270c610e0085c7258b318c98c1f61389adfc043ea","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-29T20:58:14Z","title_canon_sha256":"c940d4f80d5e1ef01a55ec2d4e8cbf55dba42334185baa8ec59aabc09a39a8ba"},"schema_version":"1.0","source":{"id":"1612.09298","kind":"arxiv","version":4}},"canonical_sha256":"fb787981bf94061a9b8ecc7b4b1ffa41a631353a24a160a391abcb91a13d749f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb787981bf94061a9b8ecc7b4b1ffa41a631353a24a160a391abcb91a13d749f","first_computed_at":"2026-05-18T00:14:29.804557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:29.804557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WGlwKDJvRvRzpZ1QmRBkS3EdMeCWW6L/O+VVgDldwpsEBGcSKhYDnJCzOqkqnuAoguJx04LYH6kdWptcj4xOCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:29.805263Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.09298","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97db93ed529f6459f6f838d8c5dbacc46554568443b6ee6edc6ae588e62fceff","sha256:28300dac6b219abba4c3fab10ad2c8cc20196a292c929edb0d079043d4423842"],"state_sha256":"b83c7907f1b78e36c823ad420ee7a07bafff66cf943bf607dd5275b1da013014"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Bu4pGgokuHBlPnOIktAe8a9jI5K3qYvfYMgx7PQtkJ1FBkdOjPotAOAJ0oZYNIwxKyVp9Io9/2+NhqglMlxDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:12:38.961122Z","bundle_sha256":"d5b0f9d33523698ef9f21095d6485592901a229bf1ff41875ee4924089e8df5e"}}