{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:SDWVEJXL5KCZLWOID4LJ6IRYCC","short_pith_number":"pith:SDWVEJXL","canonical_record":{"source":{"id":"2505.21836","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-27T23:52:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7d96160cc3356b3bfebd62f3baa7afadab95b7e1436cda010d32bb73eb043394","abstract_canon_sha256":"b89d374fdf6ce21322fcbec4e69e4238010644d294d724dd411d4bd052668202"},"schema_version":"1.0"},"canonical_sha256":"90ed5226ebea8595d9c81f169f223810b5cac12ff743f463ff2867528b98f956","source":{"kind":"arxiv","id":"2505.21836","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.21836","created_at":"2026-07-05T11:11:04Z"},{"alias_kind":"arxiv_version","alias_value":"2505.21836v1","created_at":"2026-07-05T11:11:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.21836","created_at":"2026-07-05T11:11:04Z"},{"alias_kind":"pith_short_12","alias_value":"SDWVEJXL5KCZ","created_at":"2026-07-05T11:11:04Z"},{"alias_kind":"pith_short_16","alias_value":"SDWVEJXL5KCZLWOI","created_at":"2026-07-05T11:11:04Z"},{"alias_kind":"pith_short_8","alias_value":"SDWVEJXL","created_at":"2026-07-05T11:11:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:SDWVEJXL5KCZLWOID4LJ6IRYCC","target":"record","payload":{"canonical_record":{"source":{"id":"2505.21836","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-27T23:52:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7d96160cc3356b3bfebd62f3baa7afadab95b7e1436cda010d32bb73eb043394","abstract_canon_sha256":"b89d374fdf6ce21322fcbec4e69e4238010644d294d724dd411d4bd052668202"},"schema_version":"1.0"},"canonical_sha256":"90ed5226ebea8595d9c81f169f223810b5cac12ff743f463ff2867528b98f956","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:11:04.477007Z","signature_b64":"UDQSxLRS72xduZuO+/JNYVCHQ8GMGWUUX48foM2YpF/4aFaRFMO12nRWbsSse4T3tywzyrXZqqu27EJWCtEsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90ed5226ebea8595d9c81f169f223810b5cac12ff743f463ff2867528b98f956","last_reissued_at":"2026-07-05T11:11:04.476603Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:11:04.476603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.21836","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:11:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JMFq5F0nIgLYJMnLomFYh2L9NQJPNXKP1AJB+nuV08iufEbgTM6EaL6/M3atWc8UDhzLQwrE5uCOBoX6B+ZsDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T15:28:10.089185Z"},"content_sha256":"84cc5f41ecc87842c24e6507971d55b239585dbd5af14590c9fc2c0406ee014b","schema_version":"1.0","event_id":"sha256:84cc5f41ecc87842c24e6507971d55b239585dbd5af14590c9fc2c0406ee014b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:SDWVEJXL5KCZLWOID4LJ6IRYCC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comment on \"On the bound states of the Schwarzschild black hole\" by S. H. V\\\"olkel: A Reassessment of the Bound-State Analogy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Davood Momeni","submitted_at":"2025-05-27T23:52:34Z","abstract_excerpt":"This comment critically examines the recent proposal by S.~H.~V\\\"olkel [Phys. Rev. Lett., arXiv:2505.17186], which asserts that the quasinormal mode (QNM) spectrum of Schwarzschild black holes can be reconstructed from bound states of an inverted Regge--Wheeler potential. We demonstrate that this claim rests on a mathematically invalid spectral mapping and a misapplication of boundary conditions that define QNMs. Through a detailed figure-by-figure analysis, we expose deep inconsistencies in the numerical results and their physical interpretations. The inversion method, inspired by Mashhoon, i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.21836","kind":"arxiv","version":1},"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/2505.21836/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":"2026-07-05T11:11:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tUjsuR1KCcDueawY6JLiA5Ilvq7kZ2OMbSh6QI4WcGymaNaCiuCmGZHCIIGHa57Z6qHep8EHpyBL5m7UyafjCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T15:28:10.089698Z"},"content_sha256":"ab88ad016647508d86e32a6ed56e358c2d7bb55d3fbaa378fde7e2550f0d13cf","schema_version":"1.0","event_id":"sha256:ab88ad016647508d86e32a6ed56e358c2d7bb55d3fbaa378fde7e2550f0d13cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SDWVEJXL5KCZLWOID4LJ6IRYCC/bundle.json","state_url":"https://pith.science/pith/SDWVEJXL5KCZLWOID4LJ6IRYCC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SDWVEJXL5KCZLWOID4LJ6IRYCC/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":"2026-08-09T15:28:10Z","links":{"resolver":"https://pith.science/pith/SDWVEJXL5KCZLWOID4LJ6IRYCC","bundle":"https://pith.science/pith/SDWVEJXL5KCZLWOID4LJ6IRYCC/bundle.json","state":"https://pith.science/pith/SDWVEJXL5KCZLWOID4LJ6IRYCC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SDWVEJXL5KCZLWOID4LJ6IRYCC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SDWVEJXL5KCZLWOID4LJ6IRYCC","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":"b89d374fdf6ce21322fcbec4e69e4238010644d294d724dd411d4bd052668202","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-27T23:52:34Z","title_canon_sha256":"7d96160cc3356b3bfebd62f3baa7afadab95b7e1436cda010d32bb73eb043394"},"schema_version":"1.0","source":{"id":"2505.21836","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.21836","created_at":"2026-07-05T11:11:04Z"},{"alias_kind":"arxiv_version","alias_value":"2505.21836v1","created_at":"2026-07-05T11:11:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.21836","created_at":"2026-07-05T11:11:04Z"},{"alias_kind":"pith_short_12","alias_value":"SDWVEJXL5KCZ","created_at":"2026-07-05T11:11:04Z"},{"alias_kind":"pith_short_16","alias_value":"SDWVEJXL5KCZLWOI","created_at":"2026-07-05T11:11:04Z"},{"alias_kind":"pith_short_8","alias_value":"SDWVEJXL","created_at":"2026-07-05T11:11:04Z"}],"graph_snapshots":[{"event_id":"sha256:ab88ad016647508d86e32a6ed56e358c2d7bb55d3fbaa378fde7e2550f0d13cf","target":"graph","created_at":"2026-07-05T11:11:04Z","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/2505.21836/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This comment critically examines the recent proposal by S.~H.~V\\\"olkel [Phys. Rev. Lett., arXiv:2505.17186], which asserts that the quasinormal mode (QNM) spectrum of Schwarzschild black holes can be reconstructed from bound states of an inverted Regge--Wheeler potential. We demonstrate that this claim rests on a mathematically invalid spectral mapping and a misapplication of boundary conditions that define QNMs. Through a detailed figure-by-figure analysis, we expose deep inconsistencies in the numerical results and their physical interpretations. The inversion method, inspired by Mashhoon, i","authors_text":"Davood Momeni","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-27T23:52:34Z","title":"Comment on \"On the bound states of the Schwarzschild black hole\" by S. H. V\\\"olkel: A Reassessment of the Bound-State Analogy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.21836","kind":"arxiv","version":1},"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":"sha256:84cc5f41ecc87842c24e6507971d55b239585dbd5af14590c9fc2c0406ee014b","target":"record","created_at":"2026-07-05T11:11:04Z","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":"b89d374fdf6ce21322fcbec4e69e4238010644d294d724dd411d4bd052668202","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-27T23:52:34Z","title_canon_sha256":"7d96160cc3356b3bfebd62f3baa7afadab95b7e1436cda010d32bb73eb043394"},"schema_version":"1.0","source":{"id":"2505.21836","kind":"arxiv","version":1}},"canonical_sha256":"90ed5226ebea8595d9c81f169f223810b5cac12ff743f463ff2867528b98f956","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90ed5226ebea8595d9c81f169f223810b5cac12ff743f463ff2867528b98f956","first_computed_at":"2026-07-05T11:11:04.476603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:11:04.476603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UDQSxLRS72xduZuO+/JNYVCHQ8GMGWUUX48foM2YpF/4aFaRFMO12nRWbsSse4T3tywzyrXZqqu27EJWCtEsDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:11:04.477007Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.21836","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84cc5f41ecc87842c24e6507971d55b239585dbd5af14590c9fc2c0406ee014b","sha256:ab88ad016647508d86e32a6ed56e358c2d7bb55d3fbaa378fde7e2550f0d13cf"],"state_sha256":"54da68ed1a24df86964543d4f9e4b4a32e083f4ac15f59da5c656b612555ad5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/nGV3P9l2hagfcY+JlICyVgJElKa8Q5oxxKF4+3Uh5t/TMwFu0wKfvMGO8ZxRR1JMDo3Pnzsqj51Vub4hIY3Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T15:28:10.094554Z","bundle_sha256":"2cc6d9e7ab01547aa2739236daf9b3b45e94fce494da96aa947f7264b8c21c6d"}}