{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:CHMMU5VKK4DI5ZN3QTR7LT7CPK","short_pith_number":"pith:CHMMU5VK","canonical_record":{"source":{"id":"1404.4166","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-16T08:36:19Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"2ab24182519d949da7d4b4ee2829dac2390e61ba60ed790e212b492d13127d4b","abstract_canon_sha256":"ebcc85642cf07e075900c423cdcb362161675ec9dd75c34cf2e7dd9dffc341c9"},"schema_version":"1.0"},"canonical_sha256":"11d8ca76aa57068ee5bb84e3f5cfe27ab9f028fdc57f95454b1c24ad0164475c","source":{"kind":"arxiv","id":"1404.4166","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4166","created_at":"2026-05-17T23:57:01Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4166v4","created_at":"2026-05-17T23:57:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4166","created_at":"2026-05-17T23:57:01Z"},{"alias_kind":"pith_short_12","alias_value":"CHMMU5VKK4DI","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CHMMU5VKK4DI5ZN3","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CHMMU5VK","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:CHMMU5VKK4DI5ZN3QTR7LT7CPK","target":"record","payload":{"canonical_record":{"source":{"id":"1404.4166","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-16T08:36:19Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"2ab24182519d949da7d4b4ee2829dac2390e61ba60ed790e212b492d13127d4b","abstract_canon_sha256":"ebcc85642cf07e075900c423cdcb362161675ec9dd75c34cf2e7dd9dffc341c9"},"schema_version":"1.0"},"canonical_sha256":"11d8ca76aa57068ee5bb84e3f5cfe27ab9f028fdc57f95454b1c24ad0164475c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:01.027863Z","signature_b64":"FgZfHcS3aN55MAx8wGUjgbmRjjK2c2D9vZlCS5RlS1Bl0AZK5WcqJ1e9FPyZnFJ5oSQtDPa0nb7RRZtztXd0Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11d8ca76aa57068ee5bb84e3f5cfe27ab9f028fdc57f95454b1c24ad0164475c","last_reissued_at":"2026-05-17T23:57:01.027394Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:01.027394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.4166","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:57:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ckPNdN3EkcJA6afffw1wgiPZP8MrLJ3CL9f1SvIbjm5m/5GPqeCd8biaKoQ6zgLVp3pCHid4EPFiNiZz5E1UDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:27:14.420903Z"},"content_sha256":"f051e2dc9e536186d2057372886a33ee6259a72d0e6e77c60066c00d1af87069","schema_version":"1.0","event_id":"sha256:f051e2dc9e536186d2057372886a33ee6259a72d0e6e77c60066c00d1af87069"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:CHMMU5VKK4DI5ZN3QTR7LT7CPK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Second order perturbations of relativistic membranes in curved spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"A. Nicolaidis, V. Kiosses","submitted_at":"2014-04-16T08:36:19Z","abstract_excerpt":"A manifestly covariant equation is derived to describe the second order perturbations in topological defects and membranes on arbitrary curved background spacetimes. This, on one hand, generalizes work on macroscopic strings in Minkowski spacetime and introduces a framework for studing in a precise manner membranes behavior near the black hole horizon and on the other hand, introduces a more general framework for examining the stability of topological defects in curved spacetimes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4166","kind":"arxiv","version":4},"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":"2026-05-17T23:57:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ryCHR+Miykeu0KPpcDPM0w2UCC2o4VQ6rfHE4awnH5LjVWvg2W8X/ADTP0WKhaWR6OVIbQ44suM1poBftbHfDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:27:14.421600Z"},"content_sha256":"8b034c452c6c47b7dcb3bbc34b7a52d2760d1534d4ad3eaf812c83d948cb2d7f","schema_version":"1.0","event_id":"sha256:8b034c452c6c47b7dcb3bbc34b7a52d2760d1534d4ad3eaf812c83d948cb2d7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CHMMU5VKK4DI5ZN3QTR7LT7CPK/bundle.json","state_url":"https://pith.science/pith/CHMMU5VKK4DI5ZN3QTR7LT7CPK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CHMMU5VKK4DI5ZN3QTR7LT7CPK/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":"2026-06-09T09:27:14Z","links":{"resolver":"https://pith.science/pith/CHMMU5VKK4DI5ZN3QTR7LT7CPK","bundle":"https://pith.science/pith/CHMMU5VKK4DI5ZN3QTR7LT7CPK/bundle.json","state":"https://pith.science/pith/CHMMU5VKK4DI5ZN3QTR7LT7CPK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CHMMU5VKK4DI5ZN3QTR7LT7CPK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CHMMU5VKK4DI5ZN3QTR7LT7CPK","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":"ebcc85642cf07e075900c423cdcb362161675ec9dd75c34cf2e7dd9dffc341c9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-16T08:36:19Z","title_canon_sha256":"2ab24182519d949da7d4b4ee2829dac2390e61ba60ed790e212b492d13127d4b"},"schema_version":"1.0","source":{"id":"1404.4166","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4166","created_at":"2026-05-17T23:57:01Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4166v4","created_at":"2026-05-17T23:57:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4166","created_at":"2026-05-17T23:57:01Z"},{"alias_kind":"pith_short_12","alias_value":"CHMMU5VKK4DI","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CHMMU5VKK4DI5ZN3","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CHMMU5VK","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:8b034c452c6c47b7dcb3bbc34b7a52d2760d1534d4ad3eaf812c83d948cb2d7f","target":"graph","created_at":"2026-05-17T23:57:01Z","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":"A manifestly covariant equation is derived to describe the second order perturbations in topological defects and membranes on arbitrary curved background spacetimes. This, on one hand, generalizes work on macroscopic strings in Minkowski spacetime and introduces a framework for studing in a precise manner membranes behavior near the black hole horizon and on the other hand, introduces a more general framework for examining the stability of topological defects in curved spacetimes.","authors_text":"A. Nicolaidis, V. Kiosses","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-16T08:36:19Z","title":"Second order perturbations of relativistic membranes in curved spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4166","kind":"arxiv","version":4},"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:f051e2dc9e536186d2057372886a33ee6259a72d0e6e77c60066c00d1af87069","target":"record","created_at":"2026-05-17T23:57:01Z","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":"ebcc85642cf07e075900c423cdcb362161675ec9dd75c34cf2e7dd9dffc341c9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-16T08:36:19Z","title_canon_sha256":"2ab24182519d949da7d4b4ee2829dac2390e61ba60ed790e212b492d13127d4b"},"schema_version":"1.0","source":{"id":"1404.4166","kind":"arxiv","version":4}},"canonical_sha256":"11d8ca76aa57068ee5bb84e3f5cfe27ab9f028fdc57f95454b1c24ad0164475c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11d8ca76aa57068ee5bb84e3f5cfe27ab9f028fdc57f95454b1c24ad0164475c","first_computed_at":"2026-05-17T23:57:01.027394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:01.027394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FgZfHcS3aN55MAx8wGUjgbmRjjK2c2D9vZlCS5RlS1Bl0AZK5WcqJ1e9FPyZnFJ5oSQtDPa0nb7RRZtztXd0Bw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:01.027863Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.4166","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f051e2dc9e536186d2057372886a33ee6259a72d0e6e77c60066c00d1af87069","sha256:8b034c452c6c47b7dcb3bbc34b7a52d2760d1534d4ad3eaf812c83d948cb2d7f"],"state_sha256":"2c4f02ff6f758862e2ca07e3e75866710f89cb1324cc180c107474aeb55812c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z0VgyqxkqYFlqZtUpfgivoOLvEWC6d4AWzsmpgJlv6zEZ8MnBrPVadK9NNTwB6MzcxOgS9CB8PxJX9KnX8I3DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:27:14.425503Z","bundle_sha256":"32bf9588a638b07f47a12164a54dad069817fd2f3668b49fcc43643e7b35b9ef"}}