{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7HJNC4FMLE5Q7LFKRPW4RNDETD","short_pith_number":"pith:7HJNC4FM","canonical_record":{"source":{"id":"1305.4231","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-18T06:03:12Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"7690aca088058cdadae0cc84c8ca6c687c64ff953917d65252895fd93b2959d3","abstract_canon_sha256":"b1ccc62fe8e5b2a2fb8ccfcf8759bae20fd5fe6f50b9728fabfb04e4bcbbf8ab"},"schema_version":"1.0"},"canonical_sha256":"f9d2d170ac593b0facaa8bedc8b46498e073dd6b9ec1e50460fd6ad732e0a543","source":{"kind":"arxiv","id":"1305.4231","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4231","created_at":"2026-05-18T03:03:54Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4231v2","created_at":"2026-05-18T03:03:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4231","created_at":"2026-05-18T03:03:54Z"},{"alias_kind":"pith_short_12","alias_value":"7HJNC4FMLE5Q","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7HJNC4FMLE5Q7LFK","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7HJNC4FM","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7HJNC4FMLE5Q7LFKRPW4RNDETD","target":"record","payload":{"canonical_record":{"source":{"id":"1305.4231","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-18T06:03:12Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"7690aca088058cdadae0cc84c8ca6c687c64ff953917d65252895fd93b2959d3","abstract_canon_sha256":"b1ccc62fe8e5b2a2fb8ccfcf8759bae20fd5fe6f50b9728fabfb04e4bcbbf8ab"},"schema_version":"1.0"},"canonical_sha256":"f9d2d170ac593b0facaa8bedc8b46498e073dd6b9ec1e50460fd6ad732e0a543","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:54.780430Z","signature_b64":"LUKDs37/y5aJ9r+t5MFrd894YZdOTd1WyoLa3TbTfLB3KcrI4VT7GN6xg8JBzhojS0PBXpfgnYgTjibZ2kgRDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9d2d170ac593b0facaa8bedc8b46498e073dd6b9ec1e50460fd6ad732e0a543","last_reissued_at":"2026-05-18T03:03:54.779846Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:54.779846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.4231","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":"2026-05-18T03:03:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"heBEAxi/IYa6vUNpmXW/yRh8ZDXCqrle5FYXMgZq6iH4d4PgSeGFeMN/43mMmtuS6jSJvOobpkBd1GMVNpV9AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:03:32.205339Z"},"content_sha256":"634cebfe8203bdda477bef43de79b6f1e1b3b8d98bf5e98159b59d00b43ca469","schema_version":"1.0","event_id":"sha256:634cebfe8203bdda477bef43de79b6f1e1b3b8d98bf5e98159b59d00b43ca469"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7HJNC4FMLE5Q7LFKRPW4RNDETD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"D. Momeni, L. Sebastiani, R. Myrzakulov, S.D. Odintsov","submitted_at":"2013-05-18T06:03:12Z","abstract_excerpt":"We investigate the future evolution of Nariai black hole which is extremal limit of Schwarzschild-de Sitter one in modified gravity. The perturbations equations around Nariai black hole are derived in static and cosmological patches for general $F(R)$-gravity. The analytical and numerical study of several realistic $F(R)$-models shows the occurence of rich variety of scenarios: instabilities, celebrated Hawking evaporation and anti-evaporation of black hole. The realization of specific scenario depends on the model under consideration. It is remarkable that the presence of such primordial blac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4231","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":"2026-05-18T03:03:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lIxpFdW1W5BXlzLZoeYvsj8qU3t8e8wAtJV/Ks9Wjxemt7JvxetWFEvSK/JEoqQNSXizAaHDyJjcpiWuoDp2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:03:32.205689Z"},"content_sha256":"f6961275454544c2a2253fab46250049faecca87198c32a1e7de5b1a041eb0e4","schema_version":"1.0","event_id":"sha256:f6961275454544c2a2253fab46250049faecca87198c32a1e7de5b1a041eb0e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7HJNC4FMLE5Q7LFKRPW4RNDETD/bundle.json","state_url":"https://pith.science/pith/7HJNC4FMLE5Q7LFKRPW4RNDETD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7HJNC4FMLE5Q7LFKRPW4RNDETD/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":"2026-06-01T14:03:32Z","links":{"resolver":"https://pith.science/pith/7HJNC4FMLE5Q7LFKRPW4RNDETD","bundle":"https://pith.science/pith/7HJNC4FMLE5Q7LFKRPW4RNDETD/bundle.json","state":"https://pith.science/pith/7HJNC4FMLE5Q7LFKRPW4RNDETD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7HJNC4FMLE5Q7LFKRPW4RNDETD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7HJNC4FMLE5Q7LFKRPW4RNDETD","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":"b1ccc62fe8e5b2a2fb8ccfcf8759bae20fd5fe6f50b9728fabfb04e4bcbbf8ab","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-18T06:03:12Z","title_canon_sha256":"7690aca088058cdadae0cc84c8ca6c687c64ff953917d65252895fd93b2959d3"},"schema_version":"1.0","source":{"id":"1305.4231","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4231","created_at":"2026-05-18T03:03:54Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4231v2","created_at":"2026-05-18T03:03:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4231","created_at":"2026-05-18T03:03:54Z"},{"alias_kind":"pith_short_12","alias_value":"7HJNC4FMLE5Q","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7HJNC4FMLE5Q7LFK","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7HJNC4FM","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:f6961275454544c2a2253fab46250049faecca87198c32a1e7de5b1a041eb0e4","target":"graph","created_at":"2026-05-18T03:03:54Z","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":"We investigate the future evolution of Nariai black hole which is extremal limit of Schwarzschild-de Sitter one in modified gravity. The perturbations equations around Nariai black hole are derived in static and cosmological patches for general $F(R)$-gravity. The analytical and numerical study of several realistic $F(R)$-models shows the occurence of rich variety of scenarios: instabilities, celebrated Hawking evaporation and anti-evaporation of black hole. The realization of specific scenario depends on the model under consideration. It is remarkable that the presence of such primordial blac","authors_text":"D. Momeni, L. Sebastiani, R. Myrzakulov, S.D. Odintsov","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-18T06:03:12Z","title":"The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4231","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":"sha256:634cebfe8203bdda477bef43de79b6f1e1b3b8d98bf5e98159b59d00b43ca469","target":"record","created_at":"2026-05-18T03:03:54Z","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":"b1ccc62fe8e5b2a2fb8ccfcf8759bae20fd5fe6f50b9728fabfb04e4bcbbf8ab","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-18T06:03:12Z","title_canon_sha256":"7690aca088058cdadae0cc84c8ca6c687c64ff953917d65252895fd93b2959d3"},"schema_version":"1.0","source":{"id":"1305.4231","kind":"arxiv","version":2}},"canonical_sha256":"f9d2d170ac593b0facaa8bedc8b46498e073dd6b9ec1e50460fd6ad732e0a543","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9d2d170ac593b0facaa8bedc8b46498e073dd6b9ec1e50460fd6ad732e0a543","first_computed_at":"2026-05-18T03:03:54.779846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:54.779846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LUKDs37/y5aJ9r+t5MFrd894YZdOTd1WyoLa3TbTfLB3KcrI4VT7GN6xg8JBzhojS0PBXpfgnYgTjibZ2kgRDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:54.780430Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4231","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:634cebfe8203bdda477bef43de79b6f1e1b3b8d98bf5e98159b59d00b43ca469","sha256:f6961275454544c2a2253fab46250049faecca87198c32a1e7de5b1a041eb0e4"],"state_sha256":"ed0127e81fe9aaef721d76484a81b42e3ef820c6cda2d80170120241afc0b40f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jAUqkdtgTHls5mHNdK6zSE352Y715S3+MUwuc4Sw/xGX0PhtJIDDi7VBMH/MuTbQNmvsKb2CFzAnIl5s6h7SAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T14:03:32.207512Z","bundle_sha256":"25cc95b4276ac67d3e10b6e64c76f90a0ad3252309ff0954a9fb45138e75695c"}}