{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:UEPGWCFROLG6YY5WMAWXNXREQB","short_pith_number":"pith:UEPGWCFR","canonical_record":{"source":{"id":"1106.4854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-06-23T22:54:52Z","cross_cats_sorted":["math-ph","math.AG","math.DG","math.MP"],"title_canon_sha256":"5776a6c928d8a3d302fd068a056db053f6fb29bb035e1f40feab826e668792ea","abstract_canon_sha256":"da861179b66f6adcf210c3fc13a9bff1d68492304295285f1a4d6067fa0227c7"},"schema_version":"1.0"},"canonical_sha256":"a11e6b08b172cdec63b6602d76de24805f47e86ffe573ecaa3eaf25962819ec7","source":{"kind":"arxiv","id":"1106.4854","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4854","created_at":"2026-05-18T04:19:22Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4854v1","created_at":"2026-05-18T04:19:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4854","created_at":"2026-05-18T04:19:22Z"},{"alias_kind":"pith_short_12","alias_value":"UEPGWCFROLG6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UEPGWCFROLG6YY5W","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UEPGWCFR","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:UEPGWCFROLG6YY5WMAWXNXREQB","target":"record","payload":{"canonical_record":{"source":{"id":"1106.4854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-06-23T22:54:52Z","cross_cats_sorted":["math-ph","math.AG","math.DG","math.MP"],"title_canon_sha256":"5776a6c928d8a3d302fd068a056db053f6fb29bb035e1f40feab826e668792ea","abstract_canon_sha256":"da861179b66f6adcf210c3fc13a9bff1d68492304295285f1a4d6067fa0227c7"},"schema_version":"1.0"},"canonical_sha256":"a11e6b08b172cdec63b6602d76de24805f47e86ffe573ecaa3eaf25962819ec7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:22.824864Z","signature_b64":"L5sM3v9lPNgz/SiljfZnrrhQCXYmy+pvjYYxuvPtB6RkTxo0Hq3nrj6pxx5mcl/Hhm17TToDsvMhVKSNG1wLCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a11e6b08b172cdec63b6602d76de24805f47e86ffe573ecaa3eaf25962819ec7","last_reissued_at":"2026-05-18T04:19:22.824472Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:22.824472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.4854","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":"2026-05-18T04:19:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P6izlbKJxUCpwgD4T7sUvl6vmiLNYJBGPHcVg0e5tmR/714xcIPW3cgVqrqJMoFMpsXoeCwOyotfxA86700kDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T07:43:35.136503Z"},"content_sha256":"926929730e3083449c7e62c2ec037c9425f7a6472a9e6b5d92ab835df038a7cc","schema_version":"1.0","event_id":"sha256:926929730e3083449c7e62c2ec037c9425f7a6472a9e6b5d92ab835df038a7cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:UEPGWCFROLG6YY5WMAWXNXREQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Verlinde formulas for SO(3)-bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.DG","math.MP"],"primary_cat":"math.SG","authors_text":"Derek Krepski, Eckhard Meinrenken","submitted_at":"2011-06-23T22:54:52Z","abstract_excerpt":"This paper computes the quantization of the moduli space of flat SO(3)-bundles over an oriented surface with boundary, with prescribed holonomies around the boundary circles. The result agrees with the generalized Verlinde formula conjectured by Fuchs and Schweigert."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4854","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":"2026-05-18T04:19:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r/z/7SG631ENlbsBvFBLxOSMd242pya/QSBOi8u1JpIldkOjIkPg3l/Q143dPBDyWckwR3t/Gn8pvyy3J/IiCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T07:43:35.136839Z"},"content_sha256":"a1476e8fcb77e27cbca9f1a308a53939ee54d35ccbf6c75259293e0876ef7b4c","schema_version":"1.0","event_id":"sha256:a1476e8fcb77e27cbca9f1a308a53939ee54d35ccbf6c75259293e0876ef7b4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UEPGWCFROLG6YY5WMAWXNXREQB/bundle.json","state_url":"https://pith.science/pith/UEPGWCFROLG6YY5WMAWXNXREQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UEPGWCFROLG6YY5WMAWXNXREQB/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":"2026-06-27T07:43:35Z","links":{"resolver":"https://pith.science/pith/UEPGWCFROLG6YY5WMAWXNXREQB","bundle":"https://pith.science/pith/UEPGWCFROLG6YY5WMAWXNXREQB/bundle.json","state":"https://pith.science/pith/UEPGWCFROLG6YY5WMAWXNXREQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UEPGWCFROLG6YY5WMAWXNXREQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UEPGWCFROLG6YY5WMAWXNXREQB","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":"da861179b66f6adcf210c3fc13a9bff1d68492304295285f1a4d6067fa0227c7","cross_cats_sorted":["math-ph","math.AG","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-06-23T22:54:52Z","title_canon_sha256":"5776a6c928d8a3d302fd068a056db053f6fb29bb035e1f40feab826e668792ea"},"schema_version":"1.0","source":{"id":"1106.4854","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4854","created_at":"2026-05-18T04:19:22Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4854v1","created_at":"2026-05-18T04:19:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4854","created_at":"2026-05-18T04:19:22Z"},{"alias_kind":"pith_short_12","alias_value":"UEPGWCFROLG6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UEPGWCFROLG6YY5W","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UEPGWCFR","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:a1476e8fcb77e27cbca9f1a308a53939ee54d35ccbf6c75259293e0876ef7b4c","target":"graph","created_at":"2026-05-18T04:19:22Z","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":"This paper computes the quantization of the moduli space of flat SO(3)-bundles over an oriented surface with boundary, with prescribed holonomies around the boundary circles. The result agrees with the generalized Verlinde formula conjectured by Fuchs and Schweigert.","authors_text":"Derek Krepski, Eckhard Meinrenken","cross_cats":["math-ph","math.AG","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-06-23T22:54:52Z","title":"On the Verlinde formulas for SO(3)-bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4854","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":"sha256:926929730e3083449c7e62c2ec037c9425f7a6472a9e6b5d92ab835df038a7cc","target":"record","created_at":"2026-05-18T04:19:22Z","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":"da861179b66f6adcf210c3fc13a9bff1d68492304295285f1a4d6067fa0227c7","cross_cats_sorted":["math-ph","math.AG","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-06-23T22:54:52Z","title_canon_sha256":"5776a6c928d8a3d302fd068a056db053f6fb29bb035e1f40feab826e668792ea"},"schema_version":"1.0","source":{"id":"1106.4854","kind":"arxiv","version":1}},"canonical_sha256":"a11e6b08b172cdec63b6602d76de24805f47e86ffe573ecaa3eaf25962819ec7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a11e6b08b172cdec63b6602d76de24805f47e86ffe573ecaa3eaf25962819ec7","first_computed_at":"2026-05-18T04:19:22.824472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:22.824472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L5sM3v9lPNgz/SiljfZnrrhQCXYmy+pvjYYxuvPtB6RkTxo0Hq3nrj6pxx5mcl/Hhm17TToDsvMhVKSNG1wLCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:22.824864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.4854","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:926929730e3083449c7e62c2ec037c9425f7a6472a9e6b5d92ab835df038a7cc","sha256:a1476e8fcb77e27cbca9f1a308a53939ee54d35ccbf6c75259293e0876ef7b4c"],"state_sha256":"30172cffbf51dc70e3239c34b45dc5221f8a54369ad60c492643c79b4ab33474"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u3Mp8WU0SQxMWZqYl1zs0d/utsKTDZE8/Y+7Y+WPLf24AN1MaxmrwL4RsReyg7trRfsO8o4qsp+rwzw6qdP/Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T07:43:35.138875Z","bundle_sha256":"1509df97a14487b407ab499c5af99b5bf1c60081b47fed0d281b544398515838"}}