{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:WRB4CB3QOY633BIVMPK6I2OQ2F","short_pith_number":"pith:WRB4CB3Q","canonical_record":{"source":{"id":"1110.1843","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-10-09T14:14:01Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"66fec95f2b9eebf75c8dfffeaebbd14e238ff9c1b69a2ebcb75f657a2efe176d","abstract_canon_sha256":"f0f2b9470465847c71dca6a3ccc45fb48410da538a43ded434503f36df40da72"},"schema_version":"1.0"},"canonical_sha256":"b443c10770763dbd851563d5e469d0d17f148d6c3020bcd40ff989576febfc65","source":{"kind":"arxiv","id":"1110.1843","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1843","created_at":"2026-05-18T02:00:15Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1843v2","created_at":"2026-05-18T02:00:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1843","created_at":"2026-05-18T02:00:15Z"},{"alias_kind":"pith_short_12","alias_value":"WRB4CB3QOY63","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WRB4CB3QOY633BIV","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WRB4CB3Q","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:WRB4CB3QOY633BIVMPK6I2OQ2F","target":"record","payload":{"canonical_record":{"source":{"id":"1110.1843","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-10-09T14:14:01Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"66fec95f2b9eebf75c8dfffeaebbd14e238ff9c1b69a2ebcb75f657a2efe176d","abstract_canon_sha256":"f0f2b9470465847c71dca6a3ccc45fb48410da538a43ded434503f36df40da72"},"schema_version":"1.0"},"canonical_sha256":"b443c10770763dbd851563d5e469d0d17f148d6c3020bcd40ff989576febfc65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:15.947833Z","signature_b64":"fR4kYutSkhWWK+umUK5o7w7P2DlG2HDMS7odbkG7rhImKdkI904hr+alLG5+9iSo66F20KuRdj1bhtoAb6DJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b443c10770763dbd851563d5e469d0d17f148d6c3020bcd40ff989576febfc65","last_reissued_at":"2026-05-18T02:00:15.947421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:15.947421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.1843","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":"2026-05-18T02:00:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1A7a4pt+Cf0FyEGL2khoFOz6KYSJxXOV+MuIulRtxYjOAWdbt5t3inHhz5STVBQ77GkDlZddQkCQ0+xpCcEdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:26:59.197548Z"},"content_sha256":"ec892c60969f36d55c66b972a1adeed0f94420529bb68403243229c83a706d14","schema_version":"1.0","event_id":"sha256:ec892c60969f36d55c66b972a1adeed0f94420529bb68403243229c83a706d14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:WRB4CB3QOY633BIVMPK6I2OQ2F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New application of decomposition of U(1) gauge potential:Aharonov-Bohm effect and Anderson-Higgs mechanism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.supr-con","authors_text":"Fan Wang, Hong-shi Zong, Jian-Feng Li, Wei-Min Sun, Yu Jiang","submitted_at":"2011-10-09T14:14:01Z","abstract_excerpt":"In this paper we study the Aharonov-Bohm (A-B) effect and Anderson-Higgs mechanism in Ginzburg-Landau model of superconductors from the perspective of the decomposition of U(1) gauge potential. By the Helmholtz theorem, we derive exactly the expression of the transverse gauge potential $\\vec{A}_\\perp$ in A-B experiment, which is gauge-invariant and physical. For the case of a bulk superconductor, we find that the gradient of the total phase field $\\theta$ provides the longitudinal component ${\\vec A}_{\\parallel}$, which reflects the Anderson-Higgs mechanism. For the case of a superconductor ri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1843","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":"2026-05-18T02:00:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i4MEHyU9LEzWOuzG1wUKy5rUj7QrSocx4emT2NXNlQ9E1IBN78zBxyNotsm4eMrTWc9K5QVHLfTm96oWgHpNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:26:59.198122Z"},"content_sha256":"2e906a3d18dd42dcb9ff1bf0efd2506db21490303631fc0e1efd9b336fd38047","schema_version":"1.0","event_id":"sha256:2e906a3d18dd42dcb9ff1bf0efd2506db21490303631fc0e1efd9b336fd38047"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WRB4CB3QOY633BIVMPK6I2OQ2F/bundle.json","state_url":"https://pith.science/pith/WRB4CB3QOY633BIVMPK6I2OQ2F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WRB4CB3QOY633BIVMPK6I2OQ2F/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":"2026-05-25T15:26:59Z","links":{"resolver":"https://pith.science/pith/WRB4CB3QOY633BIVMPK6I2OQ2F","bundle":"https://pith.science/pith/WRB4CB3QOY633BIVMPK6I2OQ2F/bundle.json","state":"https://pith.science/pith/WRB4CB3QOY633BIVMPK6I2OQ2F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WRB4CB3QOY633BIVMPK6I2OQ2F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WRB4CB3QOY633BIVMPK6I2OQ2F","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":"f0f2b9470465847c71dca6a3ccc45fb48410da538a43ded434503f36df40da72","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-10-09T14:14:01Z","title_canon_sha256":"66fec95f2b9eebf75c8dfffeaebbd14e238ff9c1b69a2ebcb75f657a2efe176d"},"schema_version":"1.0","source":{"id":"1110.1843","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1843","created_at":"2026-05-18T02:00:15Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1843v2","created_at":"2026-05-18T02:00:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1843","created_at":"2026-05-18T02:00:15Z"},{"alias_kind":"pith_short_12","alias_value":"WRB4CB3QOY63","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WRB4CB3QOY633BIV","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WRB4CB3Q","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:2e906a3d18dd42dcb9ff1bf0efd2506db21490303631fc0e1efd9b336fd38047","target":"graph","created_at":"2026-05-18T02:00:15Z","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":"In this paper we study the Aharonov-Bohm (A-B) effect and Anderson-Higgs mechanism in Ginzburg-Landau model of superconductors from the perspective of the decomposition of U(1) gauge potential. By the Helmholtz theorem, we derive exactly the expression of the transverse gauge potential $\\vec{A}_\\perp$ in A-B experiment, which is gauge-invariant and physical. For the case of a bulk superconductor, we find that the gradient of the total phase field $\\theta$ provides the longitudinal component ${\\vec A}_{\\parallel}$, which reflects the Anderson-Higgs mechanism. For the case of a superconductor ri","authors_text":"Fan Wang, Hong-shi Zong, Jian-Feng Li, Wei-Min Sun, Yu Jiang","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-10-09T14:14:01Z","title":"New application of decomposition of U(1) gauge potential:Aharonov-Bohm effect and Anderson-Higgs mechanism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1843","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:ec892c60969f36d55c66b972a1adeed0f94420529bb68403243229c83a706d14","target":"record","created_at":"2026-05-18T02:00:15Z","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":"f0f2b9470465847c71dca6a3ccc45fb48410da538a43ded434503f36df40da72","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2011-10-09T14:14:01Z","title_canon_sha256":"66fec95f2b9eebf75c8dfffeaebbd14e238ff9c1b69a2ebcb75f657a2efe176d"},"schema_version":"1.0","source":{"id":"1110.1843","kind":"arxiv","version":2}},"canonical_sha256":"b443c10770763dbd851563d5e469d0d17f148d6c3020bcd40ff989576febfc65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b443c10770763dbd851563d5e469d0d17f148d6c3020bcd40ff989576febfc65","first_computed_at":"2026-05-18T02:00:15.947421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:15.947421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fR4kYutSkhWWK+umUK5o7w7P2DlG2HDMS7odbkG7rhImKdkI904hr+alLG5+9iSo66F20KuRdj1bhtoAb6DJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:15.947833Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.1843","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec892c60969f36d55c66b972a1adeed0f94420529bb68403243229c83a706d14","sha256:2e906a3d18dd42dcb9ff1bf0efd2506db21490303631fc0e1efd9b336fd38047"],"state_sha256":"04a6cbe19e689cb02dbcc5059e2599047fa1490ed8057d18dd98ab9f2a82753a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hUJixy6pyZbpxmtnHRUZXKBQsWTqftckxhHkWi3wZhjqIjh18/3ckAZug1HbB0TpOPXXvbyZxUstYc9gGnfVAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:26:59.201395Z","bundle_sha256":"634f9330c3a412f29a42c8b7b6b76bd5f364bb9a30b53f3c00b2d6e3016ceb23"}}