{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:UNO5YAJAKFPMP2EJASSV43CU3N","short_pith_number":"pith:UNO5YAJA","canonical_record":{"source":{"id":"1106.3946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-06-20T15:39:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"88ae25b2801c28272a59cb7f66fdfd3eef34a4709e49aa4d75a28df595cb10c8","abstract_canon_sha256":"ef09106973db6bd5779e2226fd655ad80a0a32de1ce717a898f34fc5bb60b235"},"schema_version":"1.0"},"canonical_sha256":"a35ddc0120515ec7e88904a55e6c54db79f76089dcff1068fb9ae5ce94cbd9cf","source":{"kind":"arxiv","id":"1106.3946","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3946","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3946v1","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3946","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"pith_short_12","alias_value":"UNO5YAJAKFPM","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UNO5YAJAKFPMP2EJ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UNO5YAJA","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:UNO5YAJAKFPMP2EJASSV43CU3N","target":"record","payload":{"canonical_record":{"source":{"id":"1106.3946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-06-20T15:39:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"88ae25b2801c28272a59cb7f66fdfd3eef34a4709e49aa4d75a28df595cb10c8","abstract_canon_sha256":"ef09106973db6bd5779e2226fd655ad80a0a32de1ce717a898f34fc5bb60b235"},"schema_version":"1.0"},"canonical_sha256":"a35ddc0120515ec7e88904a55e6c54db79f76089dcff1068fb9ae5ce94cbd9cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:49.691171Z","signature_b64":"+yLjdsvnrjg9PpePk9byUPRBN8ezHT/cFMz53eLAx2yEfPnm7c2WvaIs/mKRZNMeQoN/ZPDkFXWQtT/qNb+6Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a35ddc0120515ec7e88904a55e6c54db79f76089dcff1068fb9ae5ce94cbd9cf","last_reissued_at":"2026-05-18T04:01:49.690690Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:49.690690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.3946","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":"2026-05-18T04:01:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FUjNtj99jmmD5nRfataEtF7G7ZZnFmNT8MbbH0d6lpgNNdI7Gkj/nrN9ZcwLol/zi7iHVBleHzZ2WUvU+Hc1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T18:19:03.254684Z"},"content_sha256":"5b35c41e5f609c0bf8e2599abf0dc4a89fccc65f8dc8910a1334ffb7646d7c97","schema_version":"1.0","event_id":"sha256:5b35c41e5f609c0bf8e2599abf0dc4a89fccc65f8dc8910a1334ffb7646d7c97"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:UNO5YAJAKFPMP2EJASSV43CU3N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electrodynamics of Abrikosov vortices: the Field Theoretical Formulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.supr-con","authors_text":"A.J. Beekman, J. Zaanen","submitted_at":"2011-06-20T15:39:21Z","abstract_excerpt":"Electrodynamic phenomena related to vortices in superconductors have been studied since their prediction by Abrikosov, and seem to hold no fundamental mysteries. However, most of the effects are treated separately, with no guiding principle. We demonstrate that the relativistic vortex worldsheet in spacetime is the object that naturally conveys all electric and magnetic information, for which we obtain simple and concise equations. Breaking Lorentz invariance leads to down-to-earth Abrikosov vortices, and special limits of these equations include for instance dynamic Meissner screening and the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3946","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":"2026-05-18T04:01:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"th2aR+gBx9La2OIF7cGnNh4MVx/wRtD/6DCkae7Gn8iLsTn2NKeFiqlK1vAgYbiGVga2SvSl+CZKYDQeUDEkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T18:19:03.255037Z"},"content_sha256":"fa4826c4082e8b540fa24704db8b7883948174c4f9beb6f4c1d890621cf17d9c","schema_version":"1.0","event_id":"sha256:fa4826c4082e8b540fa24704db8b7883948174c4f9beb6f4c1d890621cf17d9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UNO5YAJAKFPMP2EJASSV43CU3N/bundle.json","state_url":"https://pith.science/pith/UNO5YAJAKFPMP2EJASSV43CU3N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UNO5YAJAKFPMP2EJASSV43CU3N/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":"2026-05-19T18:19:03Z","links":{"resolver":"https://pith.science/pith/UNO5YAJAKFPMP2EJASSV43CU3N","bundle":"https://pith.science/pith/UNO5YAJAKFPMP2EJASSV43CU3N/bundle.json","state":"https://pith.science/pith/UNO5YAJAKFPMP2EJASSV43CU3N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UNO5YAJAKFPMP2EJASSV43CU3N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UNO5YAJAKFPMP2EJASSV43CU3N","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":"ef09106973db6bd5779e2226fd655ad80a0a32de1ce717a898f34fc5bb60b235","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-06-20T15:39:21Z","title_canon_sha256":"88ae25b2801c28272a59cb7f66fdfd3eef34a4709e49aa4d75a28df595cb10c8"},"schema_version":"1.0","source":{"id":"1106.3946","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3946","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3946v1","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3946","created_at":"2026-05-18T04:01:49Z"},{"alias_kind":"pith_short_12","alias_value":"UNO5YAJAKFPM","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UNO5YAJAKFPMP2EJ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UNO5YAJA","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:fa4826c4082e8b540fa24704db8b7883948174c4f9beb6f4c1d890621cf17d9c","target":"graph","created_at":"2026-05-18T04:01:49Z","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":"Electrodynamic phenomena related to vortices in superconductors have been studied since their prediction by Abrikosov, and seem to hold no fundamental mysteries. However, most of the effects are treated separately, with no guiding principle. We demonstrate that the relativistic vortex worldsheet in spacetime is the object that naturally conveys all electric and magnetic information, for which we obtain simple and concise equations. Breaking Lorentz invariance leads to down-to-earth Abrikosov vortices, and special limits of these equations include for instance dynamic Meissner screening and the","authors_text":"A.J. Beekman, J. Zaanen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-06-20T15:39:21Z","title":"Electrodynamics of Abrikosov vortices: the Field Theoretical Formulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3946","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":"sha256:5b35c41e5f609c0bf8e2599abf0dc4a89fccc65f8dc8910a1334ffb7646d7c97","target":"record","created_at":"2026-05-18T04:01:49Z","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":"ef09106973db6bd5779e2226fd655ad80a0a32de1ce717a898f34fc5bb60b235","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-06-20T15:39:21Z","title_canon_sha256":"88ae25b2801c28272a59cb7f66fdfd3eef34a4709e49aa4d75a28df595cb10c8"},"schema_version":"1.0","source":{"id":"1106.3946","kind":"arxiv","version":1}},"canonical_sha256":"a35ddc0120515ec7e88904a55e6c54db79f76089dcff1068fb9ae5ce94cbd9cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a35ddc0120515ec7e88904a55e6c54db79f76089dcff1068fb9ae5ce94cbd9cf","first_computed_at":"2026-05-18T04:01:49.690690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:49.690690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+yLjdsvnrjg9PpePk9byUPRBN8ezHT/cFMz53eLAx2yEfPnm7c2WvaIs/mKRZNMeQoN/ZPDkFXWQtT/qNb+6Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:49.691171Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.3946","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b35c41e5f609c0bf8e2599abf0dc4a89fccc65f8dc8910a1334ffb7646d7c97","sha256:fa4826c4082e8b540fa24704db8b7883948174c4f9beb6f4c1d890621cf17d9c"],"state_sha256":"3bf71274b947332d360adf7f493959fe834025359e1b10701d71b2d44171270d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XBxKwsbD64qlC0TSBMwVISYgn62IsP7UvlyxdUIEfsjz4tBs1bc7bcAft8F9ldKozkSNw6Tp1rpUh8HNNqhQBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T18:19:03.257253Z","bundle_sha256":"3b01dea8dabc3dab55377439be638f95568d234ee50ab91c12c23989791bdde0"}}