{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HZYOUTZFGZKOC6F7JFALKETCX2","short_pith_number":"pith:HZYOUTZF","canonical_record":{"source":{"id":"1002.4901","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-26T00:08:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"9eab366a33b7e08c7fde773a180a1be6ddd209ead8791bb340aadca2c4673d8f","abstract_canon_sha256":"55c4b746b5d4e14a5512fc15581dee984bbe0107989b50c9668c7bad813313a4"},"schema_version":"1.0"},"canonical_sha256":"3e70ea4f253654e178bf4940b51262beb90ed51df03daaefa4335da3f4f6ee53","source":{"kind":"arxiv","id":"1002.4901","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4901","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4901v2","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4901","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"HZYOUTZFGZKO","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HZYOUTZFGZKOC6F7","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HZYOUTZF","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HZYOUTZFGZKOC6F7JFALKETCX2","target":"record","payload":{"canonical_record":{"source":{"id":"1002.4901","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-26T00:08:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"9eab366a33b7e08c7fde773a180a1be6ddd209ead8791bb340aadca2c4673d8f","abstract_canon_sha256":"55c4b746b5d4e14a5512fc15581dee984bbe0107989b50c9668c7bad813313a4"},"schema_version":"1.0"},"canonical_sha256":"3e70ea4f253654e178bf4940b51262beb90ed51df03daaefa4335da3f4f6ee53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:38.502265Z","signature_b64":"kd5c/8POaWH0zBDlQEXmrgkuclRx38hxp/WqQvMPps6proGgePCWL61UzE9CXZGwul/SJR3lXh8S/iH58wF/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e70ea4f253654e178bf4940b51262beb90ed51df03daaefa4335da3f4f6ee53","last_reissued_at":"2026-05-18T02:24:38.501600Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:38.501600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.4901","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":"2026-05-18T02:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qwsloQe/y4OgAK81lrANGhd6XB94DJy398o4QmxS6bdoSAKbZ5fs2r61CXF/dv3BOwv5zqwIZhf3TqrTyIAcAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:42:46.018766Z"},"content_sha256":"7d57913c552f3b87fb2a7347749056514e513791ea12b36e88f9eee836207430","schema_version":"1.0","event_id":"sha256:7d57913c552f3b87fb2a7347749056514e513791ea12b36e88f9eee836207430"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HZYOUTZFGZKOC6F7JFALKETCX2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical study on holographic superconductors in external magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Bin Wang, Guo-Hong Yang, Shao-Feng Wu, Xian-Hui Ge","submitted_at":"2010-02-26T00:08:26Z","abstract_excerpt":"We investigate the holographic superconductors immersed in an external magnetic field by using the analytical approach. We obtain the spatially dependent condensate solutions in the presence of the magnetism and find analytically that the upper critical magnetic field satisfies the relation given in the Ginzburg-Landau theory. We observe analytically the reminiscent of the Meissner effect where the magnetic field expels the condensate. Extending to the D-dimensional Gauss-Bonnet AdS black holes, we examine the influence given by the Gauss-Bonnet coupling on the condensation. Different from the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4901","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":"2026-05-18T02:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8m9jvDYCJkLQ3QRwFYGyEIp3OKt4GdCiTSZ9LawVqHa5Cft6JZrqFP+X+LGUdfGtxKW73tWNNy2E1SQn01oRBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:42:46.019441Z"},"content_sha256":"46e0ea863abcb567bfa0f09a3e5334e852eafbd8efd2b122770836619a074395","schema_version":"1.0","event_id":"sha256:46e0ea863abcb567bfa0f09a3e5334e852eafbd8efd2b122770836619a074395"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HZYOUTZFGZKOC6F7JFALKETCX2/bundle.json","state_url":"https://pith.science/pith/HZYOUTZFGZKOC6F7JFALKETCX2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HZYOUTZFGZKOC6F7JFALKETCX2/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":"2026-06-06T06:42:46Z","links":{"resolver":"https://pith.science/pith/HZYOUTZFGZKOC6F7JFALKETCX2","bundle":"https://pith.science/pith/HZYOUTZFGZKOC6F7JFALKETCX2/bundle.json","state":"https://pith.science/pith/HZYOUTZFGZKOC6F7JFALKETCX2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HZYOUTZFGZKOC6F7JFALKETCX2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HZYOUTZFGZKOC6F7JFALKETCX2","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":"55c4b746b5d4e14a5512fc15581dee984bbe0107989b50c9668c7bad813313a4","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-26T00:08:26Z","title_canon_sha256":"9eab366a33b7e08c7fde773a180a1be6ddd209ead8791bb340aadca2c4673d8f"},"schema_version":"1.0","source":{"id":"1002.4901","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4901","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4901v2","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4901","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"HZYOUTZFGZKO","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HZYOUTZFGZKOC6F7","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HZYOUTZF","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:46e0ea863abcb567bfa0f09a3e5334e852eafbd8efd2b122770836619a074395","target":"graph","created_at":"2026-05-18T02:24:38Z","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 investigate the holographic superconductors immersed in an external magnetic field by using the analytical approach. We obtain the spatially dependent condensate solutions in the presence of the magnetism and find analytically that the upper critical magnetic field satisfies the relation given in the Ginzburg-Landau theory. We observe analytically the reminiscent of the Meissner effect where the magnetic field expels the condensate. Extending to the D-dimensional Gauss-Bonnet AdS black holes, we examine the influence given by the Gauss-Bonnet coupling on the condensation. Different from the","authors_text":"Bin Wang, Guo-Hong Yang, Shao-Feng Wu, Xian-Hui Ge","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-26T00:08:26Z","title":"Analytical study on holographic superconductors in external magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4901","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":"sha256:7d57913c552f3b87fb2a7347749056514e513791ea12b36e88f9eee836207430","target":"record","created_at":"2026-05-18T02:24:38Z","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":"55c4b746b5d4e14a5512fc15581dee984bbe0107989b50c9668c7bad813313a4","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-26T00:08:26Z","title_canon_sha256":"9eab366a33b7e08c7fde773a180a1be6ddd209ead8791bb340aadca2c4673d8f"},"schema_version":"1.0","source":{"id":"1002.4901","kind":"arxiv","version":2}},"canonical_sha256":"3e70ea4f253654e178bf4940b51262beb90ed51df03daaefa4335da3f4f6ee53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e70ea4f253654e178bf4940b51262beb90ed51df03daaefa4335da3f4f6ee53","first_computed_at":"2026-05-18T02:24:38.501600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:38.501600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kd5c/8POaWH0zBDlQEXmrgkuclRx38hxp/WqQvMPps6proGgePCWL61UzE9CXZGwul/SJR3lXh8S/iH58wF/Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:38.502265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.4901","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d57913c552f3b87fb2a7347749056514e513791ea12b36e88f9eee836207430","sha256:46e0ea863abcb567bfa0f09a3e5334e852eafbd8efd2b122770836619a074395"],"state_sha256":"fa10e3187c7b5cae8bc0b407ddbe7fe3992c1f087457a3ec30c814f06a1df176"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"30zopEs6y4wlVG+ozDz6i1nEJ6ZuVsc9cV/p9V/9s/Hx3gDzZk9+1QC6H0GR0aUXGBVPCpjRO7EC/rVjyCRlDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T06:42:46.022964Z","bundle_sha256":"d3b16ea6ecb70eb8fedf3f07d3128907aa61b64aba0af3ec2c105920f53c6f24"}}