{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ZVA7OSCT5OBTKEUKVPEHS34TUV","short_pith_number":"pith:ZVA7OSCT","canonical_record":{"source":{"id":"1412.4487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-12-15T07:49:16Z","cross_cats_sorted":["math.QA","math.RT"],"title_canon_sha256":"3110ed498acf3dfd403f5b08966fe9af20859ff2dc3fee104facb45f6b2f3a17","abstract_canon_sha256":"ba3d88e4eea71bf17e3cfa12c53b7d8202add0cedb84e3a04a3efc8dfb881e10"},"schema_version":"1.0"},"canonical_sha256":"cd41f74853eb8335128aabc8796f93a54a88b418c3567b68a1cb79993501fccd","source":{"kind":"arxiv","id":"1412.4487","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4487","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4487v1","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4487","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"pith_short_12","alias_value":"ZVA7OSCT5OBT","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZVA7OSCT5OBTKEUK","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZVA7OSCT","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ZVA7OSCT5OBTKEUKVPEHS34TUV","target":"record","payload":{"canonical_record":{"source":{"id":"1412.4487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-12-15T07:49:16Z","cross_cats_sorted":["math.QA","math.RT"],"title_canon_sha256":"3110ed498acf3dfd403f5b08966fe9af20859ff2dc3fee104facb45f6b2f3a17","abstract_canon_sha256":"ba3d88e4eea71bf17e3cfa12c53b7d8202add0cedb84e3a04a3efc8dfb881e10"},"schema_version":"1.0"},"canonical_sha256":"cd41f74853eb8335128aabc8796f93a54a88b418c3567b68a1cb79993501fccd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:04.983992Z","signature_b64":"s9aAyZC6QqqDgccM+O26PJjsGKxGMdF29E7tZFyiaBld/XbbGTmsE3E2JiexCc0LE754YNf1a5k1v9wRFXv7BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd41f74853eb8335128aabc8796f93a54a88b418c3567b68a1cb79993501fccd","last_reissued_at":"2026-05-18T01:35:04.983426Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:04.983426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.4487","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QfNGHhxQ9V9vW+/sKPEO7+q4Ul5Vi0o8T2G4/YRB1hGEIVoJnWrs41RAO1kBzEPY1uVtUOWTbUFYBq4H30kpAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:59:39.378752Z"},"content_sha256":"f61af9d0a0865f02703a9596483411f021fe8b01b37701c64d76d995b57b55d7","schema_version":"1.0","event_id":"sha256:f61af9d0a0865f02703a9596483411f021fe8b01b37701c64d76d995b57b55d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ZVA7OSCT5OBTKEUKVPEHS34TUV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Drinfeld centers for bicategories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RT"],"primary_cat":"math.CT","authors_text":"Ehud Meir, Markus Szymik","submitted_at":"2014-12-15T07:49:16Z","abstract_excerpt":"We generalize Drinfeld's notion of the center of a tensor category to bicategories. In this generality, we present a spectral sequence to compute the basic invariants of Drinfeld centers: the abelian monoid of isomorphism classes of objects, and the abelian automorphism group of its identity object. There is an associated obstruction theory that explains the difference between the Drinfeld center and the center of the classifying category. For examples, we discuss bicategories of groups and bands, rings and bimodules, as well as fusion categories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4487","kind":"arxiv","version":1},"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":"2026-05-18T01:35:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yzyWxBlceUpc8BYb+j4nifddED+DfKFSdYzTX6r5v7crEJqM2OhBjVNsXbDIKvYonWYj8LjHgwfc7FiifOEzBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:59:39.379100Z"},"content_sha256":"14568f9667e512a415c9ac7ed502e4a78d849d6db151be6842f3999cd3d5a58d","schema_version":"1.0","event_id":"sha256:14568f9667e512a415c9ac7ed502e4a78d849d6db151be6842f3999cd3d5a58d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZVA7OSCT5OBTKEUKVPEHS34TUV/bundle.json","state_url":"https://pith.science/pith/ZVA7OSCT5OBTKEUKVPEHS34TUV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZVA7OSCT5OBTKEUKVPEHS34TUV/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":"2026-06-02T05:59:39Z","links":{"resolver":"https://pith.science/pith/ZVA7OSCT5OBTKEUKVPEHS34TUV","bundle":"https://pith.science/pith/ZVA7OSCT5OBTKEUKVPEHS34TUV/bundle.json","state":"https://pith.science/pith/ZVA7OSCT5OBTKEUKVPEHS34TUV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZVA7OSCT5OBTKEUKVPEHS34TUV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZVA7OSCT5OBTKEUKVPEHS34TUV","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":"ba3d88e4eea71bf17e3cfa12c53b7d8202add0cedb84e3a04a3efc8dfb881e10","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-12-15T07:49:16Z","title_canon_sha256":"3110ed498acf3dfd403f5b08966fe9af20859ff2dc3fee104facb45f6b2f3a17"},"schema_version":"1.0","source":{"id":"1412.4487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4487","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4487v1","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4487","created_at":"2026-05-18T01:35:04Z"},{"alias_kind":"pith_short_12","alias_value":"ZVA7OSCT5OBT","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZVA7OSCT5OBTKEUK","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZVA7OSCT","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:14568f9667e512a415c9ac7ed502e4a78d849d6db151be6842f3999cd3d5a58d","target":"graph","created_at":"2026-05-18T01:35:04Z","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":"We generalize Drinfeld's notion of the center of a tensor category to bicategories. In this generality, we present a spectral sequence to compute the basic invariants of Drinfeld centers: the abelian monoid of isomorphism classes of objects, and the abelian automorphism group of its identity object. There is an associated obstruction theory that explains the difference between the Drinfeld center and the center of the classifying category. For examples, we discuss bicategories of groups and bands, rings and bimodules, as well as fusion categories.","authors_text":"Ehud Meir, Markus Szymik","cross_cats":["math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-12-15T07:49:16Z","title":"Drinfeld centers for bicategories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4487","kind":"arxiv","version":1},"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:f61af9d0a0865f02703a9596483411f021fe8b01b37701c64d76d995b57b55d7","target":"record","created_at":"2026-05-18T01:35:04Z","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":"ba3d88e4eea71bf17e3cfa12c53b7d8202add0cedb84e3a04a3efc8dfb881e10","cross_cats_sorted":["math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-12-15T07:49:16Z","title_canon_sha256":"3110ed498acf3dfd403f5b08966fe9af20859ff2dc3fee104facb45f6b2f3a17"},"schema_version":"1.0","source":{"id":"1412.4487","kind":"arxiv","version":1}},"canonical_sha256":"cd41f74853eb8335128aabc8796f93a54a88b418c3567b68a1cb79993501fccd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd41f74853eb8335128aabc8796f93a54a88b418c3567b68a1cb79993501fccd","first_computed_at":"2026-05-18T01:35:04.983426Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:04.983426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s9aAyZC6QqqDgccM+O26PJjsGKxGMdF29E7tZFyiaBld/XbbGTmsE3E2JiexCc0LE754YNf1a5k1v9wRFXv7BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:04.983992Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f61af9d0a0865f02703a9596483411f021fe8b01b37701c64d76d995b57b55d7","sha256:14568f9667e512a415c9ac7ed502e4a78d849d6db151be6842f3999cd3d5a58d"],"state_sha256":"50022c646d30e9c92dcf042b004ea6b765264dcd75eb3ab473041f3e9f287689"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qF+YBjqcQ5oOtEqiEdEyZQRWojeqJt4PBM8ivjF3fj67kcuuhTV3btiscT37ND1nKqrhtDhOUuqCbMyv0+lbDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:59:39.381085Z","bundle_sha256":"0ea989fe36d91dbc275a69270e2dc7fd8b2e2b3e7072a84b64b1d8eccbd20f39"}}