{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:X4XUWSHCSZUDQQZBXHK7YKW3UJ","short_pith_number":"pith:X4XUWSHC","canonical_record":{"source":{"id":"1807.07401","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-19T13:34:49Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"f516d28ec31ef4c5e8bf412d63afacd179ecad1f98904864700f43af25ec6bb8","abstract_canon_sha256":"d62bc7dbaccf8f9b6ebcc635c9acb1fe3d59d3d5705f0e4f07d51673b95c51db"},"schema_version":"1.0"},"canonical_sha256":"bf2f4b48e29668384321b9d5fc2adba25dd85729438c4e180f17d8ee1db62cc1","source":{"kind":"arxiv","id":"1807.07401","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.07401","created_at":"2026-05-17T23:59:07Z"},{"alias_kind":"arxiv_version","alias_value":"1807.07401v2","created_at":"2026-05-17T23:59:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.07401","created_at":"2026-05-17T23:59:07Z"},{"alias_kind":"pith_short_12","alias_value":"X4XUWSHCSZUD","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X4XUWSHCSZUDQQZB","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X4XUWSHC","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:X4XUWSHCSZUDQQZBXHK7YKW3UJ","target":"record","payload":{"canonical_record":{"source":{"id":"1807.07401","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-19T13:34:49Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"f516d28ec31ef4c5e8bf412d63afacd179ecad1f98904864700f43af25ec6bb8","abstract_canon_sha256":"d62bc7dbaccf8f9b6ebcc635c9acb1fe3d59d3d5705f0e4f07d51673b95c51db"},"schema_version":"1.0"},"canonical_sha256":"bf2f4b48e29668384321b9d5fc2adba25dd85729438c4e180f17d8ee1db62cc1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:07.885573Z","signature_b64":"jAKU6na+ZYzljYdYC5EsHaKf9y9mjbQi4qNLu5A2KogcCMoJ9e112r4D3tfyM7RRMxRlu5UQVEwHeaWqUTBjDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf2f4b48e29668384321b9d5fc2adba25dd85729438c4e180f17d8ee1db62cc1","last_reissued_at":"2026-05-17T23:59:07.885024Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:07.885024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.07401","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":"2026-05-17T23:59:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3HFCifQfjLY/Ex95dsi7+lYqHYN5dXAD0qYXXv3+STY0uh/74X6+G+Bn12uKfi/OzANBMaYZ3PzQdnLRjS97CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T17:53:21.921447Z"},"content_sha256":"a698232507c955ac912facefa628c88c5e8d626035c47c8c00d8d4579e57100e","schema_version":"1.0","event_id":"sha256:a698232507c955ac912facefa628c88c5e8d626035c47c8c00d8d4579e57100e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:X4XUWSHCSZUDQQZBXHK7YKW3UJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variations on the Dirac string","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Andrew R. Frey, Brad Cownden","submitted_at":"2018-07-19T13:34:49Z","abstract_excerpt":"Dirac's original solution of the nontrivial Bianchi identity for magnetic monopoles [Dirac 1948], which redefines the fieldstrength along the Dirac string, diagonalizes the gauge and monopole degrees of freedom. We provide a variant of the Dirac string, which we motivate through a formal expansion of the Bianchi identity. We show how to use our variant prescription to study monopole electrodynamics without reference to a dual potential and provide some applications."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.07401","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":"2026-05-17T23:59:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UxhECqIH9rIEueO8HuYTN4vjUSyA9HheLIrf2hspasqtIujotoLfz5vn3OURCWBTepB9zW6Vl+QCi/6hsRcnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T17:53:21.922055Z"},"content_sha256":"361b6c6ebc459bc4e98cef4ba23657e2d63b74c9f9953e2df5c7be0530d8ab59","schema_version":"1.0","event_id":"sha256:361b6c6ebc459bc4e98cef4ba23657e2d63b74c9f9953e2df5c7be0530d8ab59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X4XUWSHCSZUDQQZBXHK7YKW3UJ/bundle.json","state_url":"https://pith.science/pith/X4XUWSHCSZUDQQZBXHK7YKW3UJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X4XUWSHCSZUDQQZBXHK7YKW3UJ/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":"2026-06-05T17:53:21Z","links":{"resolver":"https://pith.science/pith/X4XUWSHCSZUDQQZBXHK7YKW3UJ","bundle":"https://pith.science/pith/X4XUWSHCSZUDQQZBXHK7YKW3UJ/bundle.json","state":"https://pith.science/pith/X4XUWSHCSZUDQQZBXHK7YKW3UJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X4XUWSHCSZUDQQZBXHK7YKW3UJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:X4XUWSHCSZUDQQZBXHK7YKW3UJ","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":"d62bc7dbaccf8f9b6ebcc635c9acb1fe3d59d3d5705f0e4f07d51673b95c51db","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-19T13:34:49Z","title_canon_sha256":"f516d28ec31ef4c5e8bf412d63afacd179ecad1f98904864700f43af25ec6bb8"},"schema_version":"1.0","source":{"id":"1807.07401","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.07401","created_at":"2026-05-17T23:59:07Z"},{"alias_kind":"arxiv_version","alias_value":"1807.07401v2","created_at":"2026-05-17T23:59:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.07401","created_at":"2026-05-17T23:59:07Z"},{"alias_kind":"pith_short_12","alias_value":"X4XUWSHCSZUD","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X4XUWSHCSZUDQQZB","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X4XUWSHC","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:361b6c6ebc459bc4e98cef4ba23657e2d63b74c9f9953e2df5c7be0530d8ab59","target":"graph","created_at":"2026-05-17T23:59:07Z","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":"Dirac's original solution of the nontrivial Bianchi identity for magnetic monopoles [Dirac 1948], which redefines the fieldstrength along the Dirac string, diagonalizes the gauge and monopole degrees of freedom. We provide a variant of the Dirac string, which we motivate through a formal expansion of the Bianchi identity. We show how to use our variant prescription to study monopole electrodynamics without reference to a dual potential and provide some applications.","authors_text":"Andrew R. Frey, Brad Cownden","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-19T13:34:49Z","title":"Variations on the Dirac string"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.07401","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:a698232507c955ac912facefa628c88c5e8d626035c47c8c00d8d4579e57100e","target":"record","created_at":"2026-05-17T23:59:07Z","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":"d62bc7dbaccf8f9b6ebcc635c9acb1fe3d59d3d5705f0e4f07d51673b95c51db","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-19T13:34:49Z","title_canon_sha256":"f516d28ec31ef4c5e8bf412d63afacd179ecad1f98904864700f43af25ec6bb8"},"schema_version":"1.0","source":{"id":"1807.07401","kind":"arxiv","version":2}},"canonical_sha256":"bf2f4b48e29668384321b9d5fc2adba25dd85729438c4e180f17d8ee1db62cc1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf2f4b48e29668384321b9d5fc2adba25dd85729438c4e180f17d8ee1db62cc1","first_computed_at":"2026-05-17T23:59:07.885024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:07.885024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jAKU6na+ZYzljYdYC5EsHaKf9y9mjbQi4qNLu5A2KogcCMoJ9e112r4D3tfyM7RRMxRlu5UQVEwHeaWqUTBjDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:07.885573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.07401","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a698232507c955ac912facefa628c88c5e8d626035c47c8c00d8d4579e57100e","sha256:361b6c6ebc459bc4e98cef4ba23657e2d63b74c9f9953e2df5c7be0530d8ab59"],"state_sha256":"65d6a63f25d00aa641b9e3d9ad3ad08370cdf743d5fd852ab95a2128eccc3bf1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"obcQHYhB0fx1UU0sdldUSfQcgPxm5P6COL5FM36Qolbr05fIArF8QtIVsXhx17GBrGB6D1MCxEUf2+omvzglCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T17:53:21.925346Z","bundle_sha256":"84ca8f8f018786ead14096e3c601250528e68f119bd554aed419245fd465fc5f"}}