{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:W77DJQZTH2ZGYFJQ6YE6IA7XMK","short_pith_number":"pith:W77DJQZT","canonical_record":{"source":{"id":"0903.2209","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-03-12T16:24:39Z","cross_cats_sorted":[],"title_canon_sha256":"509b8c5cfd3c24c9504565fe05cba8f75d9330727a21f1d53663cc2086e8ec89","abstract_canon_sha256":"d1bddd4fde2f2d2e863c81a6a7ca05982d58c1fab3e9d989ffa24f12b74c0e66"},"schema_version":"1.0"},"canonical_sha256":"b7fe34c3333eb26c1530f609e403f762bbb0be42f69e32aee3c47bf264f6f9ad","source":{"kind":"arxiv","id":"0903.2209","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.2209","created_at":"2026-07-04T15:43:53Z"},{"alias_kind":"arxiv_version","alias_value":"0903.2209v3","created_at":"2026-07-04T15:43:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2209","created_at":"2026-07-04T15:43:53Z"},{"alias_kind":"pith_short_12","alias_value":"W77DJQZTH2ZG","created_at":"2026-07-04T15:43:53Z"},{"alias_kind":"pith_short_16","alias_value":"W77DJQZTH2ZGYFJQ","created_at":"2026-07-04T15:43:53Z"},{"alias_kind":"pith_short_8","alias_value":"W77DJQZT","created_at":"2026-07-04T15:43:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:W77DJQZTH2ZGYFJQ6YE6IA7XMK","target":"record","payload":{"canonical_record":{"source":{"id":"0903.2209","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-03-12T16:24:39Z","cross_cats_sorted":[],"title_canon_sha256":"509b8c5cfd3c24c9504565fe05cba8f75d9330727a21f1d53663cc2086e8ec89","abstract_canon_sha256":"d1bddd4fde2f2d2e863c81a6a7ca05982d58c1fab3e9d989ffa24f12b74c0e66"},"schema_version":"1.0"},"canonical_sha256":"b7fe34c3333eb26c1530f609e403f762bbb0be42f69e32aee3c47bf264f6f9ad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:43:53.870941Z","signature_b64":"5SkqB00oO3n80af1BkR0qApqBAvTlbAIbsfWmm0CYlAjZda08/Bqm8zE9tlvKdx6ab8SzSifgaszMQwklAzaDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7fe34c3333eb26c1530f609e403f762bbb0be42f69e32aee3c47bf264f6f9ad","last_reissued_at":"2026-07-04T15:43:53.870563Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:43:53.870563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0903.2209","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:43:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"54J18AuwFuSaZjhm3Hu1IG4x3suVMMv/i/H9zuaeBpWGIqI9n7w3sV4l3IZCdaOKV6E1NbXP0WJsEP+2JO2gCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T10:58:59.658686Z"},"content_sha256":"a1e41f3d6bdf5ea56dd563d63013a1fa7c82145b05738847db778853ace6b170","schema_version":"1.0","event_id":"sha256:a1e41f3d6bdf5ea56dd563d63013a1fa7c82145b05738847db778853ace6b170"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:W77DJQZTH2ZGYFJQ6YE6IA7XMK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hydrodynamics of Holographic Superconductors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Irene Amado, Karl Landsteiner, Matthias Kaminski","submitted_at":"2009-03-12T16:24:39Z","abstract_excerpt":"We study the poles of the retarded Green functions of a holographic superconductor. The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken. The poles of the holographic Green functions are the quasinormal modes in an AdS black hole background. We study the spectrum of quasinormal frequencies in the broken phase, where we establish the appearance of a massless or hydrodynamic mode at the critical temperature as expected for a second order phase transition. In the broken phase we find the pole representing second soun"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2209","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0903.2209/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:43:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"thnc3yLj6LoHM1dpg5OeB79iQ56b9dsNvLavh1pjsLReeRbhKaIXq5FBDaCm3vcxl28QV+CkkAR7X32lkshXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T10:58:59.659226Z"},"content_sha256":"16737093735bf5ba9940b2a6db7997c45274067e949680ec2c35cd63e774d5f1","schema_version":"1.0","event_id":"sha256:16737093735bf5ba9940b2a6db7997c45274067e949680ec2c35cd63e774d5f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W77DJQZTH2ZGYFJQ6YE6IA7XMK/bundle.json","state_url":"https://pith.science/pith/W77DJQZTH2ZGYFJQ6YE6IA7XMK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W77DJQZTH2ZGYFJQ6YE6IA7XMK/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":"2026-08-19T10:58:59Z","links":{"resolver":"https://pith.science/pith/W77DJQZTH2ZGYFJQ6YE6IA7XMK","bundle":"https://pith.science/pith/W77DJQZTH2ZGYFJQ6YE6IA7XMK/bundle.json","state":"https://pith.science/pith/W77DJQZTH2ZGYFJQ6YE6IA7XMK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W77DJQZTH2ZGYFJQ6YE6IA7XMK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:W77DJQZTH2ZGYFJQ6YE6IA7XMK","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":"d1bddd4fde2f2d2e863c81a6a7ca05982d58c1fab3e9d989ffa24f12b74c0e66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-03-12T16:24:39Z","title_canon_sha256":"509b8c5cfd3c24c9504565fe05cba8f75d9330727a21f1d53663cc2086e8ec89"},"schema_version":"1.0","source":{"id":"0903.2209","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.2209","created_at":"2026-07-04T15:43:53Z"},{"alias_kind":"arxiv_version","alias_value":"0903.2209v3","created_at":"2026-07-04T15:43:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2209","created_at":"2026-07-04T15:43:53Z"},{"alias_kind":"pith_short_12","alias_value":"W77DJQZTH2ZG","created_at":"2026-07-04T15:43:53Z"},{"alias_kind":"pith_short_16","alias_value":"W77DJQZTH2ZGYFJQ","created_at":"2026-07-04T15:43:53Z"},{"alias_kind":"pith_short_8","alias_value":"W77DJQZT","created_at":"2026-07-04T15:43:53Z"}],"graph_snapshots":[{"event_id":"sha256:16737093735bf5ba9940b2a6db7997c45274067e949680ec2c35cd63e774d5f1","target":"graph","created_at":"2026-07-04T15:43:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0903.2209/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the poles of the retarded Green functions of a holographic superconductor. The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken. The poles of the holographic Green functions are the quasinormal modes in an AdS black hole background. We study the spectrum of quasinormal frequencies in the broken phase, where we establish the appearance of a massless or hydrodynamic mode at the critical temperature as expected for a second order phase transition. In the broken phase we find the pole representing second soun","authors_text":"Irene Amado, Karl Landsteiner, Matthias Kaminski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-03-12T16:24:39Z","title":"Hydrodynamics of Holographic Superconductors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2209","kind":"arxiv","version":3},"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:a1e41f3d6bdf5ea56dd563d63013a1fa7c82145b05738847db778853ace6b170","target":"record","created_at":"2026-07-04T15:43:53Z","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":"d1bddd4fde2f2d2e863c81a6a7ca05982d58c1fab3e9d989ffa24f12b74c0e66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-03-12T16:24:39Z","title_canon_sha256":"509b8c5cfd3c24c9504565fe05cba8f75d9330727a21f1d53663cc2086e8ec89"},"schema_version":"1.0","source":{"id":"0903.2209","kind":"arxiv","version":3}},"canonical_sha256":"b7fe34c3333eb26c1530f609e403f762bbb0be42f69e32aee3c47bf264f6f9ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7fe34c3333eb26c1530f609e403f762bbb0be42f69e32aee3c47bf264f6f9ad","first_computed_at":"2026-07-04T15:43:53.870563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:43:53.870563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5SkqB00oO3n80af1BkR0qApqBAvTlbAIbsfWmm0CYlAjZda08/Bqm8zE9tlvKdx6ab8SzSifgaszMQwklAzaDw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:43:53.870941Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.2209","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1e41f3d6bdf5ea56dd563d63013a1fa7c82145b05738847db778853ace6b170","sha256:16737093735bf5ba9940b2a6db7997c45274067e949680ec2c35cd63e774d5f1"],"state_sha256":"7c6e6ce7c2699cfed05a1043d2b267a83272cfd0803f196096a7ddf9ed4d41c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AAljEiT50f9PFQ36MqQnzCKkmREhlWnB5U5ljLcvZzkkWrkyAxQft1W+R16nFFRGg20jwOaua1Gja0Impwg3DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T10:58:59.664430Z","bundle_sha256":"9a837b1c5c9de0737504845519e503bfea698fdb3fa535f5db5393f7df03f09a"}}