{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:EZF6IM7TPLYJOYQOONM24NX6YV","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":"cf82c32cf1daf7531ecc889066df73f4f621c5f8770c6b3cf82e6b08e7d8d9fd","cross_cats_sorted":["astro-ph","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1994-06-30T15:50:39Z","title_canon_sha256":"06dced8e71f91128ba861e7bccfe163ae1b14113bac1aafec03a1998ee83956f"},"schema_version":"1.0","source":{"id":"hep-th/9406208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9406208","created_at":"2026-05-18T04:37:35Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9406208v1","created_at":"2026-05-18T04:37:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9406208","created_at":"2026-05-18T04:37:35Z"},{"alias_kind":"pith_short_12","alias_value":"EZF6IM7TPLYJ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"EZF6IM7TPLYJOYQO","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"EZF6IM7T","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:0737abf3459427d1870b066e36e5b019bf1fc0a713dc82eb5f573a2c9a7b9c14","target":"graph","created_at":"2026-05-18T04:37:35Z","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":"We present a ``topological'' formulation of arbitrarily shaped vortex strings in four dimensional field theory. By using a large Higgs mass expansion, we then evaluate the effective action of the closed Abrikosov-Nielsen-Olesen vortex string. It is shown that the effective action contains the Nambu-Goto term and an extrinsic curvature squared term with negative sign. We next evaluate the topological $\\FtF$ term and find that it becomes the sum of an ordinary self-intersection number and Polyakov's self-intersection number of the world sheet swept by the vortex string. These self-intersection n","authors_text":"Masatoshi Sato, Shigeaki Yahikozawa","cross_cats":["astro-ph","hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-06-30T15:50:39Z","title":"\"Topological\" Formulation of Effective Vortex Strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9406208","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":"sha256:8687c2f3de6757c398e60c89986d7c72e6d41f1b2a1141ec5a2763bb6f49aff4","target":"record","created_at":"2026-05-18T04:37:35Z","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":"cf82c32cf1daf7531ecc889066df73f4f621c5f8770c6b3cf82e6b08e7d8d9fd","cross_cats_sorted":["astro-ph","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1994-06-30T15:50:39Z","title_canon_sha256":"06dced8e71f91128ba861e7bccfe163ae1b14113bac1aafec03a1998ee83956f"},"schema_version":"1.0","source":{"id":"hep-th/9406208","kind":"arxiv","version":1}},"canonical_sha256":"264be433f37af097620e7359ae36fec57f7d7ae73a5339651cfa59fafb0cf585","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"264be433f37af097620e7359ae36fec57f7d7ae73a5339651cfa59fafb0cf585","first_computed_at":"2026-05-18T04:37:35.092398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:35.092398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w5T2nzjtpl2s3f+EgGbo0qqaKPGgw0QPlRjG3L+jiX+2AoiBS6oRC2sFC1t9l2hFXMI2oMceN7S8tP+GZ+qfCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:35.093058Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9406208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8687c2f3de6757c398e60c89986d7c72e6d41f1b2a1141ec5a2763bb6f49aff4","sha256:0737abf3459427d1870b066e36e5b019bf1fc0a713dc82eb5f573a2c9a7b9c14"],"state_sha256":"438724d71ead8fc0cfc35711f7d4fe2fc02008883ebc157aa4f8f37bf3c13d5a"}