{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ILPDYBOK6MA6EF4QJDQCV7SJDY","short_pith_number":"pith:ILPDYBOK","canonical_record":{"source":{"id":"2506.03600","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-06-04T06:14:27Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"600572538d5f0dd6a4a86299fafaf82d4a14361abd49549c395a2a755b6c298f","abstract_canon_sha256":"43fbe6cc6702ff893cb555e6624346ad6bedaf70fdd5fbfdf7f9ac4c161afca4"},"schema_version":"1.0"},"canonical_sha256":"42de3c05caf301e2179048e02afe491e108b7502ebdb771fb12cd7f9044ef5f3","source":{"kind":"arxiv","id":"2506.03600","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.03600","created_at":"2026-07-05T11:33:24Z"},{"alias_kind":"arxiv_version","alias_value":"2506.03600v2","created_at":"2026-07-05T11:33:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.03600","created_at":"2026-07-05T11:33:24Z"},{"alias_kind":"pith_short_12","alias_value":"ILPDYBOK6MA6","created_at":"2026-07-05T11:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"ILPDYBOK6MA6EF4Q","created_at":"2026-07-05T11:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"ILPDYBOK","created_at":"2026-07-05T11:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ILPDYBOK6MA6EF4QJDQCV7SJDY","target":"record","payload":{"canonical_record":{"source":{"id":"2506.03600","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-06-04T06:14:27Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"600572538d5f0dd6a4a86299fafaf82d4a14361abd49549c395a2a755b6c298f","abstract_canon_sha256":"43fbe6cc6702ff893cb555e6624346ad6bedaf70fdd5fbfdf7f9ac4c161afca4"},"schema_version":"1.0"},"canonical_sha256":"42de3c05caf301e2179048e02afe491e108b7502ebdb771fb12cd7f9044ef5f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:33:24.391677Z","signature_b64":"Aci0D/zm7DlHmam6UBVvRgLwz5Cipzw42RhB3rWT2WhZUzNDx52t/MWJEnZO4ApEdn+f6VcVmTpf03sVrk6vCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42de3c05caf301e2179048e02afe491e108b7502ebdb771fb12cd7f9044ef5f3","last_reissued_at":"2026-07-05T11:33:24.391143Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:33:24.391143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.03600","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":"2026-07-05T11:33:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v5Y0SpmV7j5eAFC0IpDX1GlvHdN0PjAtZsfF3OuazcDEr0BSkhbGXGnfAxeMGRh/xLs0m1T0ywWwlPlF3QmWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T21:51:06.655733Z"},"content_sha256":"ff9dc881be49c740be448c72843905bc74deec6a24553d8f89d6564cce959140","schema_version":"1.0","event_id":"sha256:ff9dc881be49c740be448c72843905bc74deec6a24553d8f89d6564cce959140"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ILPDYBOK6MA6EF4QJDQCV7SJDY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"S. Shankaranarayanan (IIT Bombay), Tharaka Alapati","submitted_at":"2025-06-04T06:14:27Z","abstract_excerpt":"We compute the quasi-normal mode (QNM) frequencies of slowly rotating black holes in dynamical Chern-Simons (dCS) gravity, including corrections up to second order in the black hole's dimensionless spin parameter $\\chi = J/M^2$ and second order in the dCS coupling parameter ($\\alpha$). Due to the complexities of constructing a Newman-Penrose tetrad at this order, we employ a metric perturbation approach. We derive a system of coupled ordinary differential equations for the primary axial $l$-mode and the polar $l\\pm 1$ modes, which is then solved numerically with appropriate ingoing and outgoin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.03600","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/2506.03600/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":"2026-07-05T11:33:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pPHIKBIczkCJBoJKIGpCnFBG9NWYhMOJm9TaVSQWEg0WItkapaEh3W4IQkHYGC3IHVcHhlnEUhKvepvcHRh2Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T21:51:06.656234Z"},"content_sha256":"02bf927c3087666ada8ad5bee9fb01742704781f0d76c410ae7f761dd20d3ada","schema_version":"1.0","event_id":"sha256:02bf927c3087666ada8ad5bee9fb01742704781f0d76c410ae7f761dd20d3ada"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ILPDYBOK6MA6EF4QJDQCV7SJDY/bundle.json","state_url":"https://pith.science/pith/ILPDYBOK6MA6EF4QJDQCV7SJDY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ILPDYBOK6MA6EF4QJDQCV7SJDY/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":"2026-08-07T21:51:06Z","links":{"resolver":"https://pith.science/pith/ILPDYBOK6MA6EF4QJDQCV7SJDY","bundle":"https://pith.science/pith/ILPDYBOK6MA6EF4QJDQCV7SJDY/bundle.json","state":"https://pith.science/pith/ILPDYBOK6MA6EF4QJDQCV7SJDY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ILPDYBOK6MA6EF4QJDQCV7SJDY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ILPDYBOK6MA6EF4QJDQCV7SJDY","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":"43fbe6cc6702ff893cb555e6624346ad6bedaf70fdd5fbfdf7f9ac4c161afca4","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-06-04T06:14:27Z","title_canon_sha256":"600572538d5f0dd6a4a86299fafaf82d4a14361abd49549c395a2a755b6c298f"},"schema_version":"1.0","source":{"id":"2506.03600","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.03600","created_at":"2026-07-05T11:33:24Z"},{"alias_kind":"arxiv_version","alias_value":"2506.03600v2","created_at":"2026-07-05T11:33:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.03600","created_at":"2026-07-05T11:33:24Z"},{"alias_kind":"pith_short_12","alias_value":"ILPDYBOK6MA6","created_at":"2026-07-05T11:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"ILPDYBOK6MA6EF4Q","created_at":"2026-07-05T11:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"ILPDYBOK","created_at":"2026-07-05T11:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:02bf927c3087666ada8ad5bee9fb01742704781f0d76c410ae7f761dd20d3ada","target":"graph","created_at":"2026-07-05T11:33:24Z","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/2506.03600/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the quasi-normal mode (QNM) frequencies of slowly rotating black holes in dynamical Chern-Simons (dCS) gravity, including corrections up to second order in the black hole's dimensionless spin parameter $\\chi = J/M^2$ and second order in the dCS coupling parameter ($\\alpha$). Due to the complexities of constructing a Newman-Penrose tetrad at this order, we employ a metric perturbation approach. We derive a system of coupled ordinary differential equations for the primary axial $l$-mode and the polar $l\\pm 1$ modes, which is then solved numerically with appropriate ingoing and outgoin","authors_text":"S. Shankaranarayanan (IIT Bombay), Tharaka Alapati","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-06-04T06:14:27Z","title":"Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.03600","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:ff9dc881be49c740be448c72843905bc74deec6a24553d8f89d6564cce959140","target":"record","created_at":"2026-07-05T11:33:24Z","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":"43fbe6cc6702ff893cb555e6624346ad6bedaf70fdd5fbfdf7f9ac4c161afca4","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-06-04T06:14:27Z","title_canon_sha256":"600572538d5f0dd6a4a86299fafaf82d4a14361abd49549c395a2a755b6c298f"},"schema_version":"1.0","source":{"id":"2506.03600","kind":"arxiv","version":2}},"canonical_sha256":"42de3c05caf301e2179048e02afe491e108b7502ebdb771fb12cd7f9044ef5f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42de3c05caf301e2179048e02afe491e108b7502ebdb771fb12cd7f9044ef5f3","first_computed_at":"2026-07-05T11:33:24.391143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:33:24.391143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Aci0D/zm7DlHmam6UBVvRgLwz5Cipzw42RhB3rWT2WhZUzNDx52t/MWJEnZO4ApEdn+f6VcVmTpf03sVrk6vCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:33:24.391677Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.03600","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff9dc881be49c740be448c72843905bc74deec6a24553d8f89d6564cce959140","sha256:02bf927c3087666ada8ad5bee9fb01742704781f0d76c410ae7f761dd20d3ada"],"state_sha256":"3f550ebf50aabede72638150633868080ff5eeb04342a2f2f9620824d6518fcd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ohmy53XT4idozwQUAh8aOnnXbyjvleGil0UzY5BJn+HZkLTJLidh5pmv2xADlDEPpCKKOWmQWeDi2Ik0aGEoCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T21:51:06.659831Z","bundle_sha256":"ff9b3286a6a347e267ba0a62728e5dd721f3d575434606bec08cf98b319570c0"}}