{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:5P7DR4QQODBH4AXCULMY7GM3LC","short_pith_number":"pith:5P7DR4QQ","canonical_record":{"source":{"id":"0812.1493","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-08T14:32:47Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"f4fd5630b233e998ae92f7117e3bc2ced7bbcac100c9cfbb1201616fd146634b","abstract_canon_sha256":"32864d3b53312000cb132b897f19285c555d6837f533dd6ef829fd4853e4b761"},"schema_version":"1.0"},"canonical_sha256":"ebfe38f21070c27e02e2a2d98f999b589a21e51b7c4159c98398c845824c902e","source":{"kind":"arxiv","id":"0812.1493","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.1493","created_at":"2026-05-18T02:15:11Z"},{"alias_kind":"arxiv_version","alias_value":"0812.1493v1","created_at":"2026-05-18T02:15:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.1493","created_at":"2026-05-18T02:15:11Z"},{"alias_kind":"pith_short_12","alias_value":"5P7DR4QQODBH","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"5P7DR4QQODBH4AXC","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"5P7DR4QQ","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:5P7DR4QQODBH4AXCULMY7GM3LC","target":"record","payload":{"canonical_record":{"source":{"id":"0812.1493","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-08T14:32:47Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"f4fd5630b233e998ae92f7117e3bc2ced7bbcac100c9cfbb1201616fd146634b","abstract_canon_sha256":"32864d3b53312000cb132b897f19285c555d6837f533dd6ef829fd4853e4b761"},"schema_version":"1.0"},"canonical_sha256":"ebfe38f21070c27e02e2a2d98f999b589a21e51b7c4159c98398c845824c902e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:11.423627Z","signature_b64":"xqFpQhzlxw5Ba+Ek4gXOtJ0I/vlJmLdHbwER+8qmVcP3UBjxtfS5bdRLLvLs1WzsQm2VgC8+4b0CM8lCyjrlBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ebfe38f21070c27e02e2a2d98f999b589a21e51b7c4159c98398c845824c902e","last_reissued_at":"2026-05-18T02:15:11.423000Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:11.423000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.1493","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":"2026-05-18T02:15:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TxNXECEz9kcNmpS/mjv+II1a0CDrz4lTNH8aKVIPe4UDLauWRo7dbGW9fUmJfurFC+ho6cQyKX2f5B3s6kMEBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:27:32.078968Z"},"content_sha256":"84840bc5bd3ce958bf813b33931617d6c6c7441cc974c8f40eff09873626a78d","schema_version":"1.0","event_id":"sha256:84840bc5bd3ce958bf813b33931617d6c6c7441cc974c8f40eff09873626a78d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:5P7DR4QQODBH4AXCULMY7GM3LC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Supercurrent coupling in the Faddeev-Skyrme model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"hep-th","authors_text":"J.M. Speight","submitted_at":"2008-12-08T14:32:47Z","abstract_excerpt":"Motivated by the sigma model limit of multicomponent Ginzburg-Landau theory, a version of the Faddeev-Skyrme model is considered in which the scalar field is coupled dynamically to a one-form field called the supercurrent. This coupled model is investigated in the general setting where physical space is an oriented Riemannian manifold and the target space is a Kaehler manifold. It is shown that supercurrent coupling destroys the topological stability enjoyed by the usual Faddeev-Skyrme model, so that there can be no globally stable knot solitons in this model. Nonetheless, local energy minimiz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.1493","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":"2026-05-18T02:15:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FT3KHkabdV5DMEZRaKJ10VvxoEdXY0tby/FFz8vCeMXm2OOPGKolQ3ck362jksuIBJNn5DUVoyhpP+fbi+D7CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:27:32.079552Z"},"content_sha256":"37096eb28221803663d5e411841e90ef950153b44fa929bedcc9198ae9fd4f88","schema_version":"1.0","event_id":"sha256:37096eb28221803663d5e411841e90ef950153b44fa929bedcc9198ae9fd4f88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC/bundle.json","state_url":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5P7DR4QQODBH4AXCULMY7GM3LC/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":"2026-06-01T01:27:32Z","links":{"resolver":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC","bundle":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC/bundle.json","state":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5P7DR4QQODBH4AXCULMY7GM3LC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:5P7DR4QQODBH4AXCULMY7GM3LC","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":"32864d3b53312000cb132b897f19285c555d6837f533dd6ef829fd4853e4b761","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-08T14:32:47Z","title_canon_sha256":"f4fd5630b233e998ae92f7117e3bc2ced7bbcac100c9cfbb1201616fd146634b"},"schema_version":"1.0","source":{"id":"0812.1493","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.1493","created_at":"2026-05-18T02:15:11Z"},{"alias_kind":"arxiv_version","alias_value":"0812.1493v1","created_at":"2026-05-18T02:15:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.1493","created_at":"2026-05-18T02:15:11Z"},{"alias_kind":"pith_short_12","alias_value":"5P7DR4QQODBH","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"5P7DR4QQODBH4AXC","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"5P7DR4QQ","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:37096eb28221803663d5e411841e90ef950153b44fa929bedcc9198ae9fd4f88","target":"graph","created_at":"2026-05-18T02:15:11Z","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":"Motivated by the sigma model limit of multicomponent Ginzburg-Landau theory, a version of the Faddeev-Skyrme model is considered in which the scalar field is coupled dynamically to a one-form field called the supercurrent. This coupled model is investigated in the general setting where physical space is an oriented Riemannian manifold and the target space is a Kaehler manifold. It is shown that supercurrent coupling destroys the topological stability enjoyed by the usual Faddeev-Skyrme model, so that there can be no globally stable knot solitons in this model. Nonetheless, local energy minimiz","authors_text":"J.M. Speight","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-08T14:32:47Z","title":"Supercurrent coupling in the Faddeev-Skyrme model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.1493","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":"sha256:84840bc5bd3ce958bf813b33931617d6c6c7441cc974c8f40eff09873626a78d","target":"record","created_at":"2026-05-18T02:15:11Z","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":"32864d3b53312000cb132b897f19285c555d6837f533dd6ef829fd4853e4b761","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-08T14:32:47Z","title_canon_sha256":"f4fd5630b233e998ae92f7117e3bc2ced7bbcac100c9cfbb1201616fd146634b"},"schema_version":"1.0","source":{"id":"0812.1493","kind":"arxiv","version":1}},"canonical_sha256":"ebfe38f21070c27e02e2a2d98f999b589a21e51b7c4159c98398c845824c902e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebfe38f21070c27e02e2a2d98f999b589a21e51b7c4159c98398c845824c902e","first_computed_at":"2026-05-18T02:15:11.423000Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:11.423000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xqFpQhzlxw5Ba+Ek4gXOtJ0I/vlJmLdHbwER+8qmVcP3UBjxtfS5bdRLLvLs1WzsQm2VgC8+4b0CM8lCyjrlBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:11.423627Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.1493","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84840bc5bd3ce958bf813b33931617d6c6c7441cc974c8f40eff09873626a78d","sha256:37096eb28221803663d5e411841e90ef950153b44fa929bedcc9198ae9fd4f88"],"state_sha256":"c3f9e4ff569d5221d2229fdba389cb01ba16aa9ddfbcec2905eca3e2d3dca7ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ffkRSRF2VloaxDC5oRWBRHAXcz9lJT4AM5/USG/poGrXiz1e1xWNsB7uUgD9XmzYgHpCg0ybSI6ZhQf1dWKCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:27:32.082223Z","bundle_sha256":"23ff26905dcac03cf05d363179110698bf889f82ff28daabaede47e22c5ac849"}}