{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:CGPTGWMJCTVPBFMIYCJOACBH2C","short_pith_number":"pith:CGPTGWMJ","canonical_record":{"source":{"id":"1401.6871","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-01-27T14:48:55Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e67fb8b9071813d6690819baee24f9169039b8eb036e94c5a10ec495833acfe3","abstract_canon_sha256":"ac81f8316abe99296ae3430355c0e8c6bce6ea3f858af2a6033249069f37c7ff"},"schema_version":"1.0"},"canonical_sha256":"119f33598914eaf09588c092e00827d0921e5b01c3f94d084c1317d3cbe1fbaf","source":{"kind":"arxiv","id":"1401.6871","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6871","created_at":"2026-05-18T02:53:39Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6871v2","created_at":"2026-05-18T02:53:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6871","created_at":"2026-05-18T02:53:39Z"},{"alias_kind":"pith_short_12","alias_value":"CGPTGWMJCTVP","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CGPTGWMJCTVPBFMI","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CGPTGWMJ","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:CGPTGWMJCTVPBFMIYCJOACBH2C","target":"record","payload":{"canonical_record":{"source":{"id":"1401.6871","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-01-27T14:48:55Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e67fb8b9071813d6690819baee24f9169039b8eb036e94c5a10ec495833acfe3","abstract_canon_sha256":"ac81f8316abe99296ae3430355c0e8c6bce6ea3f858af2a6033249069f37c7ff"},"schema_version":"1.0"},"canonical_sha256":"119f33598914eaf09588c092e00827d0921e5b01c3f94d084c1317d3cbe1fbaf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:39.940735Z","signature_b64":"m1ZqNSC2JNthb5cScWoFybMlRYYtBiEALFsZF4c45shYeLJ45FNMMLv1p5KhXf+XXxHevSFfH4OBhVqtP+cYBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"119f33598914eaf09588c092e00827d0921e5b01c3f94d084c1317d3cbe1fbaf","last_reissued_at":"2026-05-18T02:53:39.940042Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:39.940042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.6871","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":"2026-05-18T02:53:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UUsvsMBTGj87mqk1HTQHap5yrxw1oQKsdLyoxXNRvG2nsonKwDitIb0RSGysxFtXgAmGOcIVdgaFbjFX3EpABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:26:15.854392Z"},"content_sha256":"d5fe49c038c19a577661d13826efbf49f5792a3e35afb88dd4a2418f7f28c5cf","schema_version":"1.0","event_id":"sha256:d5fe49c038c19a577661d13826efbf49f5792a3e35afb88dd4a2418f7f28c5cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:CGPTGWMJCTVPBFMIYCJOACBH2C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability analysis of black holes in massive gravity: a unified treatment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Alessandro Fabbri, Eugeny Babichev","submitted_at":"2014-01-27T14:48:55Z","abstract_excerpt":"We consider the analytic solutions of massive (bi)gravity which can be written in a simple form using advanced Eddington-Finkelstein coordinates. We analyse the stability of these solutions against radial perturbations. First we recover the previously obtained result on the instability of the bidiagonal bi-Schwarzschild solutions. In the non-bidiagonal case (which contains, in particular, the Schwarzschild solution with Minkowski fiducial metric) we show that generically there are physical spherically symmetric perturbations, but no unstable modes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6871","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":"2026-05-18T02:53:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rsKzOrMK8IsqNllPq9r9INXhzGB0I3NFqZTldxrBc3CBcrCi79rc8iyinGbI41p6UoW07k7YgAEDTBiJhxMoDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:26:15.855089Z"},"content_sha256":"551d3f9e4ec5ca4e0928a6afd63f34884f9d2637e18189806d87793ebd4ef963","schema_version":"1.0","event_id":"sha256:551d3f9e4ec5ca4e0928a6afd63f34884f9d2637e18189806d87793ebd4ef963"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CGPTGWMJCTVPBFMIYCJOACBH2C/bundle.json","state_url":"https://pith.science/pith/CGPTGWMJCTVPBFMIYCJOACBH2C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CGPTGWMJCTVPBFMIYCJOACBH2C/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":"2026-05-27T06:26:15Z","links":{"resolver":"https://pith.science/pith/CGPTGWMJCTVPBFMIYCJOACBH2C","bundle":"https://pith.science/pith/CGPTGWMJCTVPBFMIYCJOACBH2C/bundle.json","state":"https://pith.science/pith/CGPTGWMJCTVPBFMIYCJOACBH2C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CGPTGWMJCTVPBFMIYCJOACBH2C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CGPTGWMJCTVPBFMIYCJOACBH2C","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":"ac81f8316abe99296ae3430355c0e8c6bce6ea3f858af2a6033249069f37c7ff","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-01-27T14:48:55Z","title_canon_sha256":"e67fb8b9071813d6690819baee24f9169039b8eb036e94c5a10ec495833acfe3"},"schema_version":"1.0","source":{"id":"1401.6871","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6871","created_at":"2026-05-18T02:53:39Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6871v2","created_at":"2026-05-18T02:53:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6871","created_at":"2026-05-18T02:53:39Z"},{"alias_kind":"pith_short_12","alias_value":"CGPTGWMJCTVP","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CGPTGWMJCTVPBFMI","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CGPTGWMJ","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:551d3f9e4ec5ca4e0928a6afd63f34884f9d2637e18189806d87793ebd4ef963","target":"graph","created_at":"2026-05-18T02:53:39Z","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 consider the analytic solutions of massive (bi)gravity which can be written in a simple form using advanced Eddington-Finkelstein coordinates. We analyse the stability of these solutions against radial perturbations. First we recover the previously obtained result on the instability of the bidiagonal bi-Schwarzschild solutions. In the non-bidiagonal case (which contains, in particular, the Schwarzschild solution with Minkowski fiducial metric) we show that generically there are physical spherically symmetric perturbations, but no unstable modes.","authors_text":"Alessandro Fabbri, Eugeny Babichev","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-01-27T14:48:55Z","title":"Stability analysis of black holes in massive gravity: a unified treatment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6871","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:d5fe49c038c19a577661d13826efbf49f5792a3e35afb88dd4a2418f7f28c5cf","target":"record","created_at":"2026-05-18T02:53:39Z","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":"ac81f8316abe99296ae3430355c0e8c6bce6ea3f858af2a6033249069f37c7ff","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-01-27T14:48:55Z","title_canon_sha256":"e67fb8b9071813d6690819baee24f9169039b8eb036e94c5a10ec495833acfe3"},"schema_version":"1.0","source":{"id":"1401.6871","kind":"arxiv","version":2}},"canonical_sha256":"119f33598914eaf09588c092e00827d0921e5b01c3f94d084c1317d3cbe1fbaf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"119f33598914eaf09588c092e00827d0921e5b01c3f94d084c1317d3cbe1fbaf","first_computed_at":"2026-05-18T02:53:39.940042Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:39.940042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m1ZqNSC2JNthb5cScWoFybMlRYYtBiEALFsZF4c45shYeLJ45FNMMLv1p5KhXf+XXxHevSFfH4OBhVqtP+cYBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:39.940735Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.6871","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5fe49c038c19a577661d13826efbf49f5792a3e35afb88dd4a2418f7f28c5cf","sha256:551d3f9e4ec5ca4e0928a6afd63f34884f9d2637e18189806d87793ebd4ef963"],"state_sha256":"ea773076c93cabb604597715cb61b11afd48ee1fc627730e24fa7db44deb130b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wQS5w1PrweqHG7mD/H3fUxm+RKPg6AAX+qawXQL7aVlxmCT0jFsKaYuJPZTQJNLp3xxRrvnfUfZ4F2xgKNPSDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T06:26:15.858842Z","bundle_sha256":"cf7144780b85002fb917465c012c772bb162b31ffb6ff0dcbf86fb5b0a70b768"}}