{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:7KWG7XZS6J4E3ELXHOLBUJXGYL","short_pith_number":"pith:7KWG7XZS","canonical_record":{"source":{"id":"hep-th/0406073","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-06-09T00:18:04Z","cross_cats_sorted":["math-ph","math.GR","math.MP","quant-ph"],"title_canon_sha256":"182353187de906680300019740eda6d656e647b450d068176a1240664edfe037","abstract_canon_sha256":"9f773784fdbc68ad608edee2cf3e6f6b5be4217ac561b139e40b5dfa4bfb4d62"},"schema_version":"1.0"},"canonical_sha256":"faac6fdf32f2784d91773b961a26e6c2fd936ddcfad7cfdeed417d1c9d802585","source":{"kind":"arxiv","id":"hep-th/0406073","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0406073","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0406073v3","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0406073","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"pith_short_12","alias_value":"7KWG7XZS6J4E","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"7KWG7XZS6J4E3ELX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"7KWG7XZS","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:7KWG7XZS6J4E3ELXHOLBUJXGYL","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0406073","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-06-09T00:18:04Z","cross_cats_sorted":["math-ph","math.GR","math.MP","quant-ph"],"title_canon_sha256":"182353187de906680300019740eda6d656e647b450d068176a1240664edfe037","abstract_canon_sha256":"9f773784fdbc68ad608edee2cf3e6f6b5be4217ac561b139e40b5dfa4bfb4d62"},"schema_version":"1.0"},"canonical_sha256":"faac6fdf32f2784d91773b961a26e6c2fd936ddcfad7cfdeed417d1c9d802585","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:27.400203Z","signature_b64":"vwjuhhTz+0ggeNMj+eNOtDKfSvarqp1GbQxusf8Zadpr7RJYjsCQDhqjNm4FBoXib78zAgfUIbbUzpofW8h5Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"faac6fdf32f2784d91773b961a26e6c2fd936ddcfad7cfdeed417d1c9d802585","last_reissued_at":"2026-05-18T03:36:27.399830Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:27.399830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0406073","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":"2026-05-18T03:36:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wt7d80GGqJ49nr0PgTx33gP73fGB6PQAeONlRjddtUg+Bh8Ni4AHyTaSWj0Kamnp2vI+6V3/c2Umf5+AFIDJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T22:53:36.158494Z"},"content_sha256":"064a6f244072c48d39c50e4645479b34614a50f3f89d0e83aa583b48efd3c0dc","schema_version":"1.0","event_id":"sha256:064a6f244072c48d39c50e4645479b34614a50f3f89d0e83aa583b48efd3c0dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:7KWG7XZS6J4E3ELXHOLBUJXGYL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-cocycles, Nonassociative Gauge Transformations and Dirac's Monopole","license":"","headline":"","cross_cats":["math-ph","math.GR","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Alexander I Nesterov","submitted_at":"2004-06-09T00:18:04Z","abstract_excerpt":"The relation between 3-cocycles arising in the Dirac monopole problem and nonassociative gauge transformations is studied. It is shown that nonassociative extension of the group U(1) allows to obtain a consistent theory of pointlike magnetic monopole with an arbitrary magnetic charge."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0406073","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":""},"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":"2026-05-18T03:36:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HoFkQ/zGtzLPGSuIfsxp/hjZKenDL4+i/k+TCBPjoY96zgy+DGJHlpFnD+XojTOnhUXScG4F5UZpOkLI+i6jCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T22:53:36.159191Z"},"content_sha256":"3060ca984fe1f31df731e29bd2003a310595b89601f8cbc99d86bd3403aebd87","schema_version":"1.0","event_id":"sha256:3060ca984fe1f31df731e29bd2003a310595b89601f8cbc99d86bd3403aebd87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7KWG7XZS6J4E3ELXHOLBUJXGYL/bundle.json","state_url":"https://pith.science/pith/7KWG7XZS6J4E3ELXHOLBUJXGYL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7KWG7XZS6J4E3ELXHOLBUJXGYL/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":"2026-05-29T22:53:36Z","links":{"resolver":"https://pith.science/pith/7KWG7XZS6J4E3ELXHOLBUJXGYL","bundle":"https://pith.science/pith/7KWG7XZS6J4E3ELXHOLBUJXGYL/bundle.json","state":"https://pith.science/pith/7KWG7XZS6J4E3ELXHOLBUJXGYL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7KWG7XZS6J4E3ELXHOLBUJXGYL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:7KWG7XZS6J4E3ELXHOLBUJXGYL","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":"9f773784fdbc68ad608edee2cf3e6f6b5be4217ac561b139e40b5dfa4bfb4d62","cross_cats_sorted":["math-ph","math.GR","math.MP","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2004-06-09T00:18:04Z","title_canon_sha256":"182353187de906680300019740eda6d656e647b450d068176a1240664edfe037"},"schema_version":"1.0","source":{"id":"hep-th/0406073","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0406073","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0406073v3","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0406073","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"pith_short_12","alias_value":"7KWG7XZS6J4E","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"7KWG7XZS6J4E3ELX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"7KWG7XZS","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:3060ca984fe1f31df731e29bd2003a310595b89601f8cbc99d86bd3403aebd87","target":"graph","created_at":"2026-05-18T03:36:27Z","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":"The relation between 3-cocycles arising in the Dirac monopole problem and nonassociative gauge transformations is studied. It is shown that nonassociative extension of the group U(1) allows to obtain a consistent theory of pointlike magnetic monopole with an arbitrary magnetic charge.","authors_text":"Alexander I Nesterov","cross_cats":["math-ph","math.GR","math.MP","quant-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-06-09T00:18:04Z","title":"Three-cocycles, Nonassociative Gauge Transformations and Dirac's Monopole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0406073","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":"sha256:064a6f244072c48d39c50e4645479b34614a50f3f89d0e83aa583b48efd3c0dc","target":"record","created_at":"2026-05-18T03:36:27Z","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":"9f773784fdbc68ad608edee2cf3e6f6b5be4217ac561b139e40b5dfa4bfb4d62","cross_cats_sorted":["math-ph","math.GR","math.MP","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2004-06-09T00:18:04Z","title_canon_sha256":"182353187de906680300019740eda6d656e647b450d068176a1240664edfe037"},"schema_version":"1.0","source":{"id":"hep-th/0406073","kind":"arxiv","version":3}},"canonical_sha256":"faac6fdf32f2784d91773b961a26e6c2fd936ddcfad7cfdeed417d1c9d802585","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"faac6fdf32f2784d91773b961a26e6c2fd936ddcfad7cfdeed417d1c9d802585","first_computed_at":"2026-05-18T03:36:27.399830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:27.399830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vwjuhhTz+0ggeNMj+eNOtDKfSvarqp1GbQxusf8Zadpr7RJYjsCQDhqjNm4FBoXib78zAgfUIbbUzpofW8h5Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:27.400203Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0406073","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:064a6f244072c48d39c50e4645479b34614a50f3f89d0e83aa583b48efd3c0dc","sha256:3060ca984fe1f31df731e29bd2003a310595b89601f8cbc99d86bd3403aebd87"],"state_sha256":"e085fb0397dc7f0aa95502903e974f665f630fce30c680514494e09f7d70687d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5nG5NBeebvEkwQeg4vWApY81A/I/h3acvvJVvK0B04u/OSfh8XjcHOexQEaZTdxTbfhQylMh9EphTolQT8RUAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T22:53:36.162906Z","bundle_sha256":"fbdb0beb3b93e8404a9714d455b0129801acb812e4c4ccad7155723030767395"}}