{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5TAUPP3RUSRNDW7JEBZG3KW5EJ","short_pith_number":"pith:5TAUPP3R","canonical_record":{"source":{"id":"1208.4795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2012-08-23T16:51:14Z","cross_cats_sorted":[],"title_canon_sha256":"34018d9b207736c9b83f27655e1e7e1d386ff7a2ef1468e2453b4f8c6e6b2795","abstract_canon_sha256":"a6272e4a6bf9f9937d7271a42c8a4345508e50c05335ade3f426000bd123f8af"},"schema_version":"1.0"},"canonical_sha256":"ecc147bf71a4a2d1dbe920726daadd227a05ee172f3209e515f4d923a793ad4a","source":{"kind":"arxiv","id":"1208.4795","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4795","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4795v1","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4795","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"pith_short_12","alias_value":"5TAUPP3RUSRN","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5TAUPP3RUSRNDW7J","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5TAUPP3R","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5TAUPP3RUSRNDW7JEBZG3KW5EJ","target":"record","payload":{"canonical_record":{"source":{"id":"1208.4795","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2012-08-23T16:51:14Z","cross_cats_sorted":[],"title_canon_sha256":"34018d9b207736c9b83f27655e1e7e1d386ff7a2ef1468e2453b4f8c6e6b2795","abstract_canon_sha256":"a6272e4a6bf9f9937d7271a42c8a4345508e50c05335ade3f426000bd123f8af"},"schema_version":"1.0"},"canonical_sha256":"ecc147bf71a4a2d1dbe920726daadd227a05ee172f3209e515f4d923a793ad4a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:12.657527Z","signature_b64":"E2tUmJQwNMfjTLakzA2XAldrh9k9l6MVGUlq9VX15/f33+FFnVRhGsXx3YYZY8tgnMbM3oarfgw2RH697FdrDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ecc147bf71a4a2d1dbe920726daadd227a05ee172f3209e515f4d923a793ad4a","last_reissued_at":"2026-05-18T03:48:12.657022Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:12.657022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.4795","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":"2026-05-18T03:48:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iGK6lFVj2iKg8pMGHCeqDjKMT4HSYan2wdnBcCJtWMzA4iVvHhfO0YYOA4qld9+oVK76dcNIW5LjvtpOeE9lDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:00:12.303832Z"},"content_sha256":"794fcf7a41c799a3236c39cb2b37c83813a3451b97348ff9b2b177401f121052","schema_version":"1.0","event_id":"sha256:794fcf7a41c799a3236c39cb2b37c83813a3451b97348ff9b2b177401f121052"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5TAUPP3RUSRNDW7JEBZG3KW5EJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pinning of an Abrikosov vortex on a small cylindrical cavity: A Ginzburg-Landau approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"A. A. Bespalov, A. S. Mel'nikov","submitted_at":"2012-08-23T16:51:14Z","abstract_excerpt":"Within the Ginzburg-Landau theory we consider Abrikosov vortex pinning on a columnar defect with the characteristic size of the cross-section much smaller than the coherence length. We present an extension of the electrostatic analogies method, which proved to be useful for calculations of the pinning force for large cavities, to the case of small defects. The pinning potential for an elliptic cavity is derived analytically. Also, we determine the depinning current for a circular defect."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4795","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":"2026-05-18T03:48:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hb+D9gPgnTMcpxzgVuwBRaz9KbQKOscig8NSYWRRpKC2LR+UmcsC0faTeEhns8xaNvtxUnhR0cER3sn+7Hc4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:00:12.304543Z"},"content_sha256":"e52f46351450758959a971545b21c0aded43a80178f5131921d20079b91d8c57","schema_version":"1.0","event_id":"sha256:e52f46351450758959a971545b21c0aded43a80178f5131921d20079b91d8c57"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5TAUPP3RUSRNDW7JEBZG3KW5EJ/bundle.json","state_url":"https://pith.science/pith/5TAUPP3RUSRNDW7JEBZG3KW5EJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5TAUPP3RUSRNDW7JEBZG3KW5EJ/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":"2026-06-05T23:00:12Z","links":{"resolver":"https://pith.science/pith/5TAUPP3RUSRNDW7JEBZG3KW5EJ","bundle":"https://pith.science/pith/5TAUPP3RUSRNDW7JEBZG3KW5EJ/bundle.json","state":"https://pith.science/pith/5TAUPP3RUSRNDW7JEBZG3KW5EJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5TAUPP3RUSRNDW7JEBZG3KW5EJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5TAUPP3RUSRNDW7JEBZG3KW5EJ","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":"a6272e4a6bf9f9937d7271a42c8a4345508e50c05335ade3f426000bd123f8af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2012-08-23T16:51:14Z","title_canon_sha256":"34018d9b207736c9b83f27655e1e7e1d386ff7a2ef1468e2453b4f8c6e6b2795"},"schema_version":"1.0","source":{"id":"1208.4795","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4795","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4795v1","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4795","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"pith_short_12","alias_value":"5TAUPP3RUSRN","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5TAUPP3RUSRNDW7J","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5TAUPP3R","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:e52f46351450758959a971545b21c0aded43a80178f5131921d20079b91d8c57","target":"graph","created_at":"2026-05-18T03:48:12Z","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":"Within the Ginzburg-Landau theory we consider Abrikosov vortex pinning on a columnar defect with the characteristic size of the cross-section much smaller than the coherence length. We present an extension of the electrostatic analogies method, which proved to be useful for calculations of the pinning force for large cavities, to the case of small defects. The pinning potential for an elliptic cavity is derived analytically. Also, we determine the depinning current for a circular defect.","authors_text":"A. A. Bespalov, A. S. Mel'nikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2012-08-23T16:51:14Z","title":"Pinning of an Abrikosov vortex on a small cylindrical cavity: A Ginzburg-Landau approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4795","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":"sha256:794fcf7a41c799a3236c39cb2b37c83813a3451b97348ff9b2b177401f121052","target":"record","created_at":"2026-05-18T03:48:12Z","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":"a6272e4a6bf9f9937d7271a42c8a4345508e50c05335ade3f426000bd123f8af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2012-08-23T16:51:14Z","title_canon_sha256":"34018d9b207736c9b83f27655e1e7e1d386ff7a2ef1468e2453b4f8c6e6b2795"},"schema_version":"1.0","source":{"id":"1208.4795","kind":"arxiv","version":1}},"canonical_sha256":"ecc147bf71a4a2d1dbe920726daadd227a05ee172f3209e515f4d923a793ad4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecc147bf71a4a2d1dbe920726daadd227a05ee172f3209e515f4d923a793ad4a","first_computed_at":"2026-05-18T03:48:12.657022Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:12.657022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E2tUmJQwNMfjTLakzA2XAldrh9k9l6MVGUlq9VX15/f33+FFnVRhGsXx3YYZY8tgnMbM3oarfgw2RH697FdrDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:12.657527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4795","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:794fcf7a41c799a3236c39cb2b37c83813a3451b97348ff9b2b177401f121052","sha256:e52f46351450758959a971545b21c0aded43a80178f5131921d20079b91d8c57"],"state_sha256":"518ec8f86e091aa562b7c6ccf0b2a23a1f7e274efc07396a296495d359128f0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XKSbfWD52+VTM3EUMNEN+uHgfej6226W3yzI9mnJVPj4FbBMjHjbU9/Q2N9tBrjKddTb+hidnsySE5jbV+aGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T23:00:12.309283Z","bundle_sha256":"e4e58f02d6aa6b9ddc487c1a0e49470874a5cae20d1cded908273f3ffde35ce3"}}