{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3PCLWZDJRO5GKVUS4PV5GZGCGH","short_pith_number":"pith:3PCLWZDJ","canonical_record":{"source":{"id":"1110.6241","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-28T03:47:51Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"c2f3e01b628ab6f945e46c843779b206ac36a22de1873cf04fe1d8e7cbef6514","abstract_canon_sha256":"8d09c99015c83e675c8f6fbf17110212cefb7313774cf525a22a137a49efc4b0"},"schema_version":"1.0"},"canonical_sha256":"dbc4bb64698bba655692e3ebd364c231d111b4b14f5d98695f29667b35697eb9","source":{"kind":"arxiv","id":"1110.6241","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6241","created_at":"2026-05-18T03:43:27Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6241v2","created_at":"2026-05-18T03:43:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6241","created_at":"2026-05-18T03:43:27Z"},{"alias_kind":"pith_short_12","alias_value":"3PCLWZDJRO5G","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3PCLWZDJRO5GKVUS","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3PCLWZDJ","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3PCLWZDJRO5GKVUS4PV5GZGCGH","target":"record","payload":{"canonical_record":{"source":{"id":"1110.6241","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-28T03:47:51Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"c2f3e01b628ab6f945e46c843779b206ac36a22de1873cf04fe1d8e7cbef6514","abstract_canon_sha256":"8d09c99015c83e675c8f6fbf17110212cefb7313774cf525a22a137a49efc4b0"},"schema_version":"1.0"},"canonical_sha256":"dbc4bb64698bba655692e3ebd364c231d111b4b14f5d98695f29667b35697eb9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:27.250339Z","signature_b64":"DrQBvUihT4+R+yJtV6RzeZjxy/GNf6K7ZR2Gh0pYggy+n+DbjsdzEiGR834GvGtNC0yaWzl79o8ZKe36heVSCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbc4bb64698bba655692e3ebd364c231d111b4b14f5d98695f29667b35697eb9","last_reissued_at":"2026-05-18T03:43:27.249223Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:27.249223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.6241","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":"2026-05-18T03:43:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yCLb4oSYH/zv1v11km8QTaqPdwduDBoXmOE9fS0tngWeE+JnJe2mRS50aAMYTjsoWPWEJ7TYItN8CiEdAFJRDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T15:39:04.198015Z"},"content_sha256":"c948b020e2ee5b25b8705b8757c3ac4a33b629a2948d80f5443a04a722890cd7","schema_version":"1.0","event_id":"sha256:c948b020e2ee5b25b8705b8757c3ac4a33b629a2948d80f5443a04a722890cd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3PCLWZDJRO5GKVUS4PV5GZGCGH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black hole perturbation in nondynamical and dynamical Chern-Simons gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Hayato Motohashi, Teruaki Suyama","submitted_at":"2011-10-28T03:47:51Z","abstract_excerpt":"Chern-Simons gravitational theories are extensions of general relativity in which the parity is violated due to the Chern-Simons term. We study linear perturbations on the static and spherically symmetric background spacetime both for nondynamical and dynamical Chern-Simons theories. We do not make an assumption that the background Chern-Simons scalar field vanishes, which has been adopted in the literature. By eliminating nondynamical variables using their constraint equations, we derive the reduced second order action from which a set of closed evolution equations containing only dynamical v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6241","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":""},"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":"2026-05-18T03:43:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VEY3TlmYJUt1hgUv/rEkaWtWa/a2Uc8edLMaSswZ4yi9yUACgz7U7vEfyw4S2u12+q/ADv0GANUKuQDw1iU0Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T15:39:04.198749Z"},"content_sha256":"daf3e9eaa1331839d79be88bc7aba2db6e260816b0e09aae33410f35a3097d1f","schema_version":"1.0","event_id":"sha256:daf3e9eaa1331839d79be88bc7aba2db6e260816b0e09aae33410f35a3097d1f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3PCLWZDJRO5GKVUS4PV5GZGCGH/bundle.json","state_url":"https://pith.science/pith/3PCLWZDJRO5GKVUS4PV5GZGCGH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3PCLWZDJRO5GKVUS4PV5GZGCGH/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":"2026-06-08T15:39:04Z","links":{"resolver":"https://pith.science/pith/3PCLWZDJRO5GKVUS4PV5GZGCGH","bundle":"https://pith.science/pith/3PCLWZDJRO5GKVUS4PV5GZGCGH/bundle.json","state":"https://pith.science/pith/3PCLWZDJRO5GKVUS4PV5GZGCGH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3PCLWZDJRO5GKVUS4PV5GZGCGH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3PCLWZDJRO5GKVUS4PV5GZGCGH","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":"8d09c99015c83e675c8f6fbf17110212cefb7313774cf525a22a137a49efc4b0","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-28T03:47:51Z","title_canon_sha256":"c2f3e01b628ab6f945e46c843779b206ac36a22de1873cf04fe1d8e7cbef6514"},"schema_version":"1.0","source":{"id":"1110.6241","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6241","created_at":"2026-05-18T03:43:27Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6241v2","created_at":"2026-05-18T03:43:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6241","created_at":"2026-05-18T03:43:27Z"},{"alias_kind":"pith_short_12","alias_value":"3PCLWZDJRO5G","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3PCLWZDJRO5GKVUS","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3PCLWZDJ","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:daf3e9eaa1331839d79be88bc7aba2db6e260816b0e09aae33410f35a3097d1f","target":"graph","created_at":"2026-05-18T03:43:27Z","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":"Chern-Simons gravitational theories are extensions of general relativity in which the parity is violated due to the Chern-Simons term. We study linear perturbations on the static and spherically symmetric background spacetime both for nondynamical and dynamical Chern-Simons theories. We do not make an assumption that the background Chern-Simons scalar field vanishes, which has been adopted in the literature. By eliminating nondynamical variables using their constraint equations, we derive the reduced second order action from which a set of closed evolution equations containing only dynamical v","authors_text":"Hayato Motohashi, Teruaki Suyama","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-28T03:47:51Z","title":"Black hole perturbation in nondynamical and dynamical Chern-Simons gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6241","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:c948b020e2ee5b25b8705b8757c3ac4a33b629a2948d80f5443a04a722890cd7","target":"record","created_at":"2026-05-18T03:43:27Z","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":"8d09c99015c83e675c8f6fbf17110212cefb7313774cf525a22a137a49efc4b0","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-10-28T03:47:51Z","title_canon_sha256":"c2f3e01b628ab6f945e46c843779b206ac36a22de1873cf04fe1d8e7cbef6514"},"schema_version":"1.0","source":{"id":"1110.6241","kind":"arxiv","version":2}},"canonical_sha256":"dbc4bb64698bba655692e3ebd364c231d111b4b14f5d98695f29667b35697eb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbc4bb64698bba655692e3ebd364c231d111b4b14f5d98695f29667b35697eb9","first_computed_at":"2026-05-18T03:43:27.249223Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:27.249223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DrQBvUihT4+R+yJtV6RzeZjxy/GNf6K7ZR2Gh0pYggy+n+DbjsdzEiGR834GvGtNC0yaWzl79o8ZKe36heVSCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:27.250339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.6241","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c948b020e2ee5b25b8705b8757c3ac4a33b629a2948d80f5443a04a722890cd7","sha256:daf3e9eaa1331839d79be88bc7aba2db6e260816b0e09aae33410f35a3097d1f"],"state_sha256":"2c7af8c9be35a8e9e04db38d6289198bb91be6750e6d4c25a3d8ef3e17623d90"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gZGjjVGAhX2PKYAY5eEMqFRtDU8gczGKTu4AwHKqm844UP08Pn8hlrTzcDHLwr/tCBtRJmlbu/ouW/mzTfXeDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T15:39:04.202645Z","bundle_sha256":"f8d224a58321d9a190140f2c879ad37948b39f7260ff83d541eae404e050790f"}}