{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:MITJ77EJST4W67UNEQTBN5KKFV","short_pith_number":"pith:MITJ77EJ","canonical_record":{"source":{"id":"1610.07146","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-23T10:55:38Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"050f18433ef12bc837dda3f1d942edd361da0e2f2864411ce4f4e33d7e8cb646","abstract_canon_sha256":"f337215d084feaf74b83141cfc1f1c08dfecd0624f36d9b1e90054aecd71e51a"},"schema_version":"1.0"},"canonical_sha256":"62269ffc8994f96f7e8d242616f54a2d486b487ba211d39eee5b88f682de32f0","source":{"kind":"arxiv","id":"1610.07146","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.07146","created_at":"2026-05-18T00:48:32Z"},{"alias_kind":"arxiv_version","alias_value":"1610.07146v2","created_at":"2026-05-18T00:48:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07146","created_at":"2026-05-18T00:48:32Z"},{"alias_kind":"pith_short_12","alias_value":"MITJ77EJST4W","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MITJ77EJST4W67UN","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MITJ77EJ","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:MITJ77EJST4W67UNEQTBN5KKFV","target":"record","payload":{"canonical_record":{"source":{"id":"1610.07146","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-23T10:55:38Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"050f18433ef12bc837dda3f1d942edd361da0e2f2864411ce4f4e33d7e8cb646","abstract_canon_sha256":"f337215d084feaf74b83141cfc1f1c08dfecd0624f36d9b1e90054aecd71e51a"},"schema_version":"1.0"},"canonical_sha256":"62269ffc8994f96f7e8d242616f54a2d486b487ba211d39eee5b88f682de32f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:32.604614Z","signature_b64":"MdypUF6LK4McI+lFSdTnuNdYhZC4lyazflWERLPtGUG4Y3KColYSUmGKE4UzyM/uqPy/M2/yElNHTO/kPlG/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62269ffc8994f96f7e8d242616f54a2d486b487ba211d39eee5b88f682de32f0","last_reissued_at":"2026-05-18T00:48:32.604013Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:32.604013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.07146","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":"2026-05-18T00:48:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sMdH3wo5Czl0NptanTb1+29I54v+n7NSfdaJ1C+ln9/MF5+nkqUfZoFlvizk6euFNMSA5XI7GNyWCs8dkX5YAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:12:01.670382Z"},"content_sha256":"b44bb1669d90028aed3b6d5f06ce8c877ade5a903906a9ff0dd29f3f1f8d637c","schema_version":"1.0","event_id":"sha256:b44bb1669d90028aed3b6d5f06ce8c877ade5a903906a9ff0dd29f3f1f8d637c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:MITJ77EJST4W67UNEQTBN5KKFV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Note on the butterfly effect in holographic superconductor models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Jian-Pin Wu, Peng Liu, Yi Ling","submitted_at":"2016-10-23T10:55:38Z","abstract_excerpt":"In this note we remark that the butterfly effect can be used to diagnose the phase transition of superconductivity in a holographic framework. Specifically, we compute the butterfly velocity in a charged black hole background as well as anisotropic backgrounds with Q-lattice structure. In both cases we find its derivative to the temperature is discontinuous at critical points. We also propose that the butterfly velocity can signalize the occurrence of thermal phase transition in general holographic models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07146","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":"2026-05-18T00:48:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kys3eOznXS/f82d6RNicHOokkzLbaRC1ReVJrqNuVV39Y9fG9RNEsmkNLY7eJd3oztG5zKVBBG1lYEPV+g2zBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:12:01.670733Z"},"content_sha256":"8e1daefbe5f55c4ae05f845d5ae24c0aef0842f3b10b00dfa117423d92bd351f","schema_version":"1.0","event_id":"sha256:8e1daefbe5f55c4ae05f845d5ae24c0aef0842f3b10b00dfa117423d92bd351f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MITJ77EJST4W67UNEQTBN5KKFV/bundle.json","state_url":"https://pith.science/pith/MITJ77EJST4W67UNEQTBN5KKFV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MITJ77EJST4W67UNEQTBN5KKFV/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":"2026-06-04T01:12:01Z","links":{"resolver":"https://pith.science/pith/MITJ77EJST4W67UNEQTBN5KKFV","bundle":"https://pith.science/pith/MITJ77EJST4W67UNEQTBN5KKFV/bundle.json","state":"https://pith.science/pith/MITJ77EJST4W67UNEQTBN5KKFV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MITJ77EJST4W67UNEQTBN5KKFV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MITJ77EJST4W67UNEQTBN5KKFV","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":"f337215d084feaf74b83141cfc1f1c08dfecd0624f36d9b1e90054aecd71e51a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-23T10:55:38Z","title_canon_sha256":"050f18433ef12bc837dda3f1d942edd361da0e2f2864411ce4f4e33d7e8cb646"},"schema_version":"1.0","source":{"id":"1610.07146","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.07146","created_at":"2026-05-18T00:48:32Z"},{"alias_kind":"arxiv_version","alias_value":"1610.07146v2","created_at":"2026-05-18T00:48:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07146","created_at":"2026-05-18T00:48:32Z"},{"alias_kind":"pith_short_12","alias_value":"MITJ77EJST4W","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MITJ77EJST4W67UN","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MITJ77EJ","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:8e1daefbe5f55c4ae05f845d5ae24c0aef0842f3b10b00dfa117423d92bd351f","target":"graph","created_at":"2026-05-18T00:48:32Z","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 note we remark that the butterfly effect can be used to diagnose the phase transition of superconductivity in a holographic framework. Specifically, we compute the butterfly velocity in a charged black hole background as well as anisotropic backgrounds with Q-lattice structure. In both cases we find its derivative to the temperature is discontinuous at critical points. We also propose that the butterfly velocity can signalize the occurrence of thermal phase transition in general holographic models.","authors_text":"Jian-Pin Wu, Peng Liu, Yi Ling","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-23T10:55:38Z","title":"Note on the butterfly effect in holographic superconductor models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07146","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:b44bb1669d90028aed3b6d5f06ce8c877ade5a903906a9ff0dd29f3f1f8d637c","target":"record","created_at":"2026-05-18T00:48:32Z","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":"f337215d084feaf74b83141cfc1f1c08dfecd0624f36d9b1e90054aecd71e51a","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-10-23T10:55:38Z","title_canon_sha256":"050f18433ef12bc837dda3f1d942edd361da0e2f2864411ce4f4e33d7e8cb646"},"schema_version":"1.0","source":{"id":"1610.07146","kind":"arxiv","version":2}},"canonical_sha256":"62269ffc8994f96f7e8d242616f54a2d486b487ba211d39eee5b88f682de32f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62269ffc8994f96f7e8d242616f54a2d486b487ba211d39eee5b88f682de32f0","first_computed_at":"2026-05-18T00:48:32.604013Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:32.604013Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MdypUF6LK4McI+lFSdTnuNdYhZC4lyazflWERLPtGUG4Y3KColYSUmGKE4UzyM/uqPy/M2/yElNHTO/kPlG/Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:32.604614Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.07146","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b44bb1669d90028aed3b6d5f06ce8c877ade5a903906a9ff0dd29f3f1f8d637c","sha256:8e1daefbe5f55c4ae05f845d5ae24c0aef0842f3b10b00dfa117423d92bd351f"],"state_sha256":"964fa77c0950f7b5134fdf33df3a80a60e6235133ead3d4f0739a38237010ff5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5kqn6G/HRI6VlfZaNJdxM/MIsPMgEoj+q/KG7u1xJvC3Mghl2ZvxWRQdsY0SallsOthjVDuiwKhhhrhSJuMwCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T01:12:01.672983Z","bundle_sha256":"2573b650344c12edeaa24a425bed9ffdf123c44a3af623707904868ec9e30eec"}}