{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:2Z7FA4QFVCCB6I47BF5AOJ67NN","short_pith_number":"pith:2Z7FA4QF","canonical_record":{"source":{"id":"2304.06829","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-13T21:38:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"84b495f28c0e123cb42e34d146fba80a03f223d4c08eb2a42162c611b4d5b3e4","abstract_canon_sha256":"269c30d76564a454e987c0caa4fca70ddc612968d993b0ff4147dd4bf9ba1fb8"},"schema_version":"1.0"},"canonical_sha256":"d67e507205a8841f239f097a0727df6b4d407da1292f6ef4344f84fd261d2f6b","source":{"kind":"arxiv","id":"2304.06829","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.06829","created_at":"2026-07-05T07:08:56Z"},{"alias_kind":"arxiv_version","alias_value":"2304.06829v2","created_at":"2026-07-05T07:08:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.06829","created_at":"2026-07-05T07:08:56Z"},{"alias_kind":"pith_short_12","alias_value":"2Z7FA4QFVCCB","created_at":"2026-07-05T07:08:56Z"},{"alias_kind":"pith_short_16","alias_value":"2Z7FA4QFVCCB6I47","created_at":"2026-07-05T07:08:56Z"},{"alias_kind":"pith_short_8","alias_value":"2Z7FA4QF","created_at":"2026-07-05T07:08:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:2Z7FA4QFVCCB6I47BF5AOJ67NN","target":"record","payload":{"canonical_record":{"source":{"id":"2304.06829","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-13T21:38:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"84b495f28c0e123cb42e34d146fba80a03f223d4c08eb2a42162c611b4d5b3e4","abstract_canon_sha256":"269c30d76564a454e987c0caa4fca70ddc612968d993b0ff4147dd4bf9ba1fb8"},"schema_version":"1.0"},"canonical_sha256":"d67e507205a8841f239f097a0727df6b4d407da1292f6ef4344f84fd261d2f6b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:08:56.190498Z","signature_b64":"vHLdHj/RZRR+KjWIG3fxynzBe6OUztfpvK/1SuLaAJqkEJ22+xl2Fj0G/OU5CtHBNtFEKAywf1QZbYAuRVxAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d67e507205a8841f239f097a0727df6b4d407da1292f6ef4344f84fd261d2f6b","last_reissued_at":"2026-07-05T07:08:56.190001Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:08:56.190001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.06829","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":"2026-07-05T07:08:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kcnlXzd9RRhj9wBRROQ65mle3lkBcePAlBP1owLAszyNGV3iWcb9tRqt/Kx6nlD6NSUtsd2EpwOS5v43EzYnDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:49:53.145824Z"},"content_sha256":"68d66a4cac5873c4acb47a378ab9d8911dbcf565659f462eb94d0e7373af8c2c","schema_version":"1.0","event_id":"sha256:68d66a4cac5873c4acb47a378ab9d8911dbcf565659f462eb94d0e7373af8c2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:2Z7FA4QFVCCB6I47BF5AOJ67NN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbing the perturbed: Stability of quasinormal modes in presence of a positive cosmological constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Mostafizur Rahman, Subhodeep Sarkar, Sumanta Chakraborty","submitted_at":"2023-04-13T21:38:50Z","abstract_excerpt":"In this work, we wish to address the question -- whether the quasi-normal modes, the characteristic frequencies associated with perturbed black hole spacetimes, central to the stability of these black holes, are themselves stable. Though the differential operator governing the perturbation of black hole spacetimes is self-adjoint, the boundary conditions are dissipative in nature, so that the spectral theorem becomes inapplicable, and there is no guarantee regarding the stability of the quasi-normal modes. We have provided a general method of transforming to the hyperboloidal coordinate system"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.06829","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2304.06829/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":"2026-07-05T07:08:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7rGM4RI5Af9xhBBvFw2DOCis1oAMysqWKPppJZl9qX9G9W2QdYEwUwQIG+/5OCQfiQRv3KkobUKymMQuTyi+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:49:53.146320Z"},"content_sha256":"9fff71bc6ea9e3728683dc712263014397a172f5a968a2a5e34c377a70f14a5a","schema_version":"1.0","event_id":"sha256:9fff71bc6ea9e3728683dc712263014397a172f5a968a2a5e34c377a70f14a5a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2Z7FA4QFVCCB6I47BF5AOJ67NN/bundle.json","state_url":"https://pith.science/pith/2Z7FA4QFVCCB6I47BF5AOJ67NN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2Z7FA4QFVCCB6I47BF5AOJ67NN/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":"2026-08-10T06:49:53Z","links":{"resolver":"https://pith.science/pith/2Z7FA4QFVCCB6I47BF5AOJ67NN","bundle":"https://pith.science/pith/2Z7FA4QFVCCB6I47BF5AOJ67NN/bundle.json","state":"https://pith.science/pith/2Z7FA4QFVCCB6I47BF5AOJ67NN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2Z7FA4QFVCCB6I47BF5AOJ67NN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2Z7FA4QFVCCB6I47BF5AOJ67NN","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":"269c30d76564a454e987c0caa4fca70ddc612968d993b0ff4147dd4bf9ba1fb8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-13T21:38:50Z","title_canon_sha256":"84b495f28c0e123cb42e34d146fba80a03f223d4c08eb2a42162c611b4d5b3e4"},"schema_version":"1.0","source":{"id":"2304.06829","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.06829","created_at":"2026-07-05T07:08:56Z"},{"alias_kind":"arxiv_version","alias_value":"2304.06829v2","created_at":"2026-07-05T07:08:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.06829","created_at":"2026-07-05T07:08:56Z"},{"alias_kind":"pith_short_12","alias_value":"2Z7FA4QFVCCB","created_at":"2026-07-05T07:08:56Z"},{"alias_kind":"pith_short_16","alias_value":"2Z7FA4QFVCCB6I47","created_at":"2026-07-05T07:08:56Z"},{"alias_kind":"pith_short_8","alias_value":"2Z7FA4QF","created_at":"2026-07-05T07:08:56Z"}],"graph_snapshots":[{"event_id":"sha256:9fff71bc6ea9e3728683dc712263014397a172f5a968a2a5e34c377a70f14a5a","target":"graph","created_at":"2026-07-05T07:08:56Z","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/2304.06829/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we wish to address the question -- whether the quasi-normal modes, the characteristic frequencies associated with perturbed black hole spacetimes, central to the stability of these black holes, are themselves stable. Though the differential operator governing the perturbation of black hole spacetimes is self-adjoint, the boundary conditions are dissipative in nature, so that the spectral theorem becomes inapplicable, and there is no guarantee regarding the stability of the quasi-normal modes. We have provided a general method of transforming to the hyperboloidal coordinate system","authors_text":"Mostafizur Rahman, Subhodeep Sarkar, Sumanta Chakraborty","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-13T21:38:50Z","title":"Perturbing the perturbed: Stability of quasinormal modes in presence of a positive cosmological constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.06829","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":"sha256:68d66a4cac5873c4acb47a378ab9d8911dbcf565659f462eb94d0e7373af8c2c","target":"record","created_at":"2026-07-05T07:08:56Z","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":"269c30d76564a454e987c0caa4fca70ddc612968d993b0ff4147dd4bf9ba1fb8","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-04-13T21:38:50Z","title_canon_sha256":"84b495f28c0e123cb42e34d146fba80a03f223d4c08eb2a42162c611b4d5b3e4"},"schema_version":"1.0","source":{"id":"2304.06829","kind":"arxiv","version":2}},"canonical_sha256":"d67e507205a8841f239f097a0727df6b4d407da1292f6ef4344f84fd261d2f6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d67e507205a8841f239f097a0727df6b4d407da1292f6ef4344f84fd261d2f6b","first_computed_at":"2026-07-05T07:08:56.190001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:08:56.190001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vHLdHj/RZRR+KjWIG3fxynzBe6OUztfpvK/1SuLaAJqkEJ22+xl2Fj0G/OU5CtHBNtFEKAywf1QZbYAuRVxAAw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:08:56.190498Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.06829","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68d66a4cac5873c4acb47a378ab9d8911dbcf565659f462eb94d0e7373af8c2c","sha256:9fff71bc6ea9e3728683dc712263014397a172f5a968a2a5e34c377a70f14a5a"],"state_sha256":"9ea4b7714c6302142fe179330e4c7ae21cad909af515f83b6e7adb48bf0dff51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qXkFfCysGQKAPtAq3r+iFAG2SYcH61mZ0G13R7L2Zh98KLRr26gpv1Y1Qr9lZMw+81zyGA7hSQfuv8jkc9A3Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T06:49:53.149620Z","bundle_sha256":"40aded30afd9239c3319e47e9ed4a1296c4d2005174d3f7fe084a80b1a5b0119"}}