{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FDDOVY4WXKGVIMLEG4RJRELQBZ","short_pith_number":"pith:FDDOVY4W","canonical_record":{"source":{"id":"1811.06670","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-14T16:53:06Z","cross_cats_sorted":["cond-mat.str-el","hep-th"],"title_canon_sha256":"a5ae0e10353ed2f7a7cd7928d19ec4dbda6d590fda226433be687878c3d163d5","abstract_canon_sha256":"0a89b819344a8969fdd7b9da59f02d6afe83ab96e10c1213856163bd407d8403"},"schema_version":"1.0"},"canonical_sha256":"28c6eae396ba8d54316437229891700e7815db193efb199da0bfe9361e4a86ae","source":{"kind":"arxiv","id":"1811.06670","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06670","created_at":"2026-05-17T23:58:36Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06670v2","created_at":"2026-05-17T23:58:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06670","created_at":"2026-05-17T23:58:36Z"},{"alias_kind":"pith_short_12","alias_value":"FDDOVY4WXKGV","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FDDOVY4WXKGVIMLE","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FDDOVY4W","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FDDOVY4WXKGVIMLEG4RJRELQBZ","target":"record","payload":{"canonical_record":{"source":{"id":"1811.06670","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-14T16:53:06Z","cross_cats_sorted":["cond-mat.str-el","hep-th"],"title_canon_sha256":"a5ae0e10353ed2f7a7cd7928d19ec4dbda6d590fda226433be687878c3d163d5","abstract_canon_sha256":"0a89b819344a8969fdd7b9da59f02d6afe83ab96e10c1213856163bd407d8403"},"schema_version":"1.0"},"canonical_sha256":"28c6eae396ba8d54316437229891700e7815db193efb199da0bfe9361e4a86ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:36.414248Z","signature_b64":"YTf2uLiaTp+75Vz+GvSy9/Z1XO2H+CUuGzf3JdmYgb0xqVUW1+zHS6uVSvuP20EsrQP0eurfMelsOv6yziOBBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28c6eae396ba8d54316437229891700e7815db193efb199da0bfe9361e4a86ae","last_reissued_at":"2026-05-17T23:58:36.413450Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:36.413450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.06670","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":"2026-05-17T23:58:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rWAo5Lqg6YcIQ8XpR9F83BhtKUfsXdh+6Rxc/mslVwn3jqd77venLs1YzfXn8K+gW94GaAOUiy3tNtma/j5HBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T13:36:22.325022Z"},"content_sha256":"ab88ec8419dd58c1290574e792d61b46571f87ded6abaafbb32d13569a888f71","schema_version":"1.0","event_id":"sha256:ab88ec8419dd58c1290574e792d61b46571f87ded6abaafbb32d13569a888f71"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FDDOVY4WXKGVIMLEG4RJRELQBZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From categories to anyons: a travelogue","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Alexander Hahn, Christin Schridde, Deniz E. Stiegemann, Dmytro Bondarenko, Kerstin Beer, Laura Niermann, Maria Kalabakov, Nicole Knust, Ramona Wolf, Stefan Seckmeyer, Tobias J. Osborne","submitted_at":"2018-11-14T16:53:06Z","abstract_excerpt":"In this paper we provide an overview of category theory, focussing on applications in physics. The route we follow is motivated by the final goal of understanding anyons and topological QFTs using category theory. This entails introducing modular tensor categories and fusion rings. Rather than providing an in-depth mathematical development we concentrate instead on presenting the \"highlights for a physicist\"."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06670","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":""},"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":"2026-05-17T23:58:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wm9W7OiSrbtRATYvz8f0K1IWQQnXhG+lkq7MNtL0QGvFefjVbpCpJsb2Abr9qqyVVemYt5eqCWWMjQ8eGs0WBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T13:36:22.325383Z"},"content_sha256":"ecc2544980eedf13e01993951095bf41aabed707f70d040dca6d43e94becc4ef","schema_version":"1.0","event_id":"sha256:ecc2544980eedf13e01993951095bf41aabed707f70d040dca6d43e94becc4ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FDDOVY4WXKGVIMLEG4RJRELQBZ/bundle.json","state_url":"https://pith.science/pith/FDDOVY4WXKGVIMLEG4RJRELQBZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FDDOVY4WXKGVIMLEG4RJRELQBZ/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":"2026-05-20T13:36:22Z","links":{"resolver":"https://pith.science/pith/FDDOVY4WXKGVIMLEG4RJRELQBZ","bundle":"https://pith.science/pith/FDDOVY4WXKGVIMLEG4RJRELQBZ/bundle.json","state":"https://pith.science/pith/FDDOVY4WXKGVIMLEG4RJRELQBZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FDDOVY4WXKGVIMLEG4RJRELQBZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FDDOVY4WXKGVIMLEG4RJRELQBZ","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":"0a89b819344a8969fdd7b9da59f02d6afe83ab96e10c1213856163bd407d8403","cross_cats_sorted":["cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-14T16:53:06Z","title_canon_sha256":"a5ae0e10353ed2f7a7cd7928d19ec4dbda6d590fda226433be687878c3d163d5"},"schema_version":"1.0","source":{"id":"1811.06670","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06670","created_at":"2026-05-17T23:58:36Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06670v2","created_at":"2026-05-17T23:58:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06670","created_at":"2026-05-17T23:58:36Z"},{"alias_kind":"pith_short_12","alias_value":"FDDOVY4WXKGV","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FDDOVY4WXKGVIMLE","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FDDOVY4W","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:ecc2544980eedf13e01993951095bf41aabed707f70d040dca6d43e94becc4ef","target":"graph","created_at":"2026-05-17T23:58:36Z","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 this paper we provide an overview of category theory, focussing on applications in physics. The route we follow is motivated by the final goal of understanding anyons and topological QFTs using category theory. This entails introducing modular tensor categories and fusion rings. Rather than providing an in-depth mathematical development we concentrate instead on presenting the \"highlights for a physicist\".","authors_text":"Alexander Hahn, Christin Schridde, Deniz E. Stiegemann, Dmytro Bondarenko, Kerstin Beer, Laura Niermann, Maria Kalabakov, Nicole Knust, Ramona Wolf, Stefan Seckmeyer, Tobias J. Osborne","cross_cats":["cond-mat.str-el","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-14T16:53:06Z","title":"From categories to anyons: a travelogue"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06670","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:ab88ec8419dd58c1290574e792d61b46571f87ded6abaafbb32d13569a888f71","target":"record","created_at":"2026-05-17T23:58:36Z","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":"0a89b819344a8969fdd7b9da59f02d6afe83ab96e10c1213856163bd407d8403","cross_cats_sorted":["cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-14T16:53:06Z","title_canon_sha256":"a5ae0e10353ed2f7a7cd7928d19ec4dbda6d590fda226433be687878c3d163d5"},"schema_version":"1.0","source":{"id":"1811.06670","kind":"arxiv","version":2}},"canonical_sha256":"28c6eae396ba8d54316437229891700e7815db193efb199da0bfe9361e4a86ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28c6eae396ba8d54316437229891700e7815db193efb199da0bfe9361e4a86ae","first_computed_at":"2026-05-17T23:58:36.413450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:36.413450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YTf2uLiaTp+75Vz+GvSy9/Z1XO2H+CUuGzf3JdmYgb0xqVUW1+zHS6uVSvuP20EsrQP0eurfMelsOv6yziOBBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:36.414248Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.06670","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab88ec8419dd58c1290574e792d61b46571f87ded6abaafbb32d13569a888f71","sha256:ecc2544980eedf13e01993951095bf41aabed707f70d040dca6d43e94becc4ef"],"state_sha256":"8328b741e70d1b919a7c7b08c74a6b256afdc55bb3593507d985bcbc95385bf0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hmEGk3wFwu5b3W4JgM6JX5FoHKmCXRexAF1y4CaJGY9Gnkczrok4kYSP9QLGlTWcvBOWmuKstvM5CwPJ01T3Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T13:36:22.327653Z","bundle_sha256":"5ebbf90d275d940695bab0ef6704944f6f6ac65fb3a6acfc1d84ee3eeb888da2"}}