{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FT3AHLXPWJSSVYVZFDNUWCJWFY","short_pith_number":"pith:FT3AHLXP","canonical_record":{"source":{"id":"1512.09046","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-30T18:17:33Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"b2428b7b6808df2124f11e90e05a104c43e6f2f6c23789095f0b916e23c9eca8","abstract_canon_sha256":"369b776c2c477dd43df8b5d6a4ba84aa4081a7d8d47028dfd21d3a3921d0e26b"},"schema_version":"1.0"},"canonical_sha256":"2cf603aeefb2652ae2b928db4b09362e33c4cdbb8afe45dfb596ae403396057d","source":{"kind":"arxiv","id":"1512.09046","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.09046","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"arxiv_version","alias_value":"1512.09046v1","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.09046","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"pith_short_12","alias_value":"FT3AHLXPWJSS","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FT3AHLXPWJSSVYVZ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FT3AHLXP","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FT3AHLXPWJSSVYVZFDNUWCJWFY","target":"record","payload":{"canonical_record":{"source":{"id":"1512.09046","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-30T18:17:33Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"b2428b7b6808df2124f11e90e05a104c43e6f2f6c23789095f0b916e23c9eca8","abstract_canon_sha256":"369b776c2c477dd43df8b5d6a4ba84aa4081a7d8d47028dfd21d3a3921d0e26b"},"schema_version":"1.0"},"canonical_sha256":"2cf603aeefb2652ae2b928db4b09362e33c4cdbb8afe45dfb596ae403396057d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:34.125980Z","signature_b64":"JVmWAUztCPHs5jOSuJ/TswfwyEk4QnlTgp4iFfNy/WwgkhrvMhx51aBukVtRlSqdw0UtkxYgIXWuG/NDTJQVDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2cf603aeefb2652ae2b928db4b09362e33c4cdbb8afe45dfb596ae403396057d","last_reissued_at":"2026-05-18T01:23:34.125409Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:34.125409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.09046","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":"2026-05-18T01:23:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RLcsd+eqrRzzoPiYIKUuKA2wYqCmnI1q3mYXZ93DauRJPqq8qZKfjVJI4rq6HA5mc4RPR5PZEEuGocjZBm01DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:48:06.007387Z"},"content_sha256":"77b05a44d17e90814d77ec6420c2e710661f36f888b553c79a2974c6cd8a1cae","schema_version":"1.0","event_id":"sha256:77b05a44d17e90814d77ec6420c2e710661f36f888b553c79a2974c6cd8a1cae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FT3AHLXPWJSSVYVZFDNUWCJWFY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotically flat black holes and gravitational waves in three-dimensional massive gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"C\\'edric Troessaert, David Tempo, Ricardo Troncoso","submitted_at":"2015-12-30T18:17:33Z","abstract_excerpt":"Different classes of exact solutions for the BHT massive gravity theory are constructed and analyzed. We focus in the special case of the purely quadratic Lagrangian, whose field equations are irreducibly of fourth order and are known to admit asymptotically locally flat black holes endowed with gravitational hair. The first class corresponds to a Kerr-Schild deformation of Minkowski spacetime along a covariantly constant null vector. As in the case of General Relativity, the field equations linearize so that the solution can be easily shown to be described by four arbitrary functions of a sin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.09046","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":""},"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":"2026-05-18T01:23:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b8rYu1y07x8QeC0x/oCqhPOuIxU4XcEv4xs95jcQJTQfz58u+rmbFutFiY+otMbkqE6/QPT8c8yWgCf07x9wBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:48:06.007751Z"},"content_sha256":"cdce9f33ee5681e794665a233b47d1630af78f93b7ca7bb01209c8bd46b40428","schema_version":"1.0","event_id":"sha256:cdce9f33ee5681e794665a233b47d1630af78f93b7ca7bb01209c8bd46b40428"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FT3AHLXPWJSSVYVZFDNUWCJWFY/bundle.json","state_url":"https://pith.science/pith/FT3AHLXPWJSSVYVZFDNUWCJWFY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FT3AHLXPWJSSVYVZFDNUWCJWFY/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":"2026-05-27T20:48:06Z","links":{"resolver":"https://pith.science/pith/FT3AHLXPWJSSVYVZFDNUWCJWFY","bundle":"https://pith.science/pith/FT3AHLXPWJSSVYVZFDNUWCJWFY/bundle.json","state":"https://pith.science/pith/FT3AHLXPWJSSVYVZFDNUWCJWFY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FT3AHLXPWJSSVYVZFDNUWCJWFY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FT3AHLXPWJSSVYVZFDNUWCJWFY","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":"369b776c2c477dd43df8b5d6a4ba84aa4081a7d8d47028dfd21d3a3921d0e26b","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-30T18:17:33Z","title_canon_sha256":"b2428b7b6808df2124f11e90e05a104c43e6f2f6c23789095f0b916e23c9eca8"},"schema_version":"1.0","source":{"id":"1512.09046","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.09046","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"arxiv_version","alias_value":"1512.09046v1","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.09046","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"pith_short_12","alias_value":"FT3AHLXPWJSS","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FT3AHLXPWJSSVYVZ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FT3AHLXP","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:cdce9f33ee5681e794665a233b47d1630af78f93b7ca7bb01209c8bd46b40428","target":"graph","created_at":"2026-05-18T01:23:34Z","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":"Different classes of exact solutions for the BHT massive gravity theory are constructed and analyzed. We focus in the special case of the purely quadratic Lagrangian, whose field equations are irreducibly of fourth order and are known to admit asymptotically locally flat black holes endowed with gravitational hair. The first class corresponds to a Kerr-Schild deformation of Minkowski spacetime along a covariantly constant null vector. As in the case of General Relativity, the field equations linearize so that the solution can be easily shown to be described by four arbitrary functions of a sin","authors_text":"C\\'edric Troessaert, David Tempo, Ricardo Troncoso","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-30T18:17:33Z","title":"Asymptotically flat black holes and gravitational waves in three-dimensional massive gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.09046","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":"sha256:77b05a44d17e90814d77ec6420c2e710661f36f888b553c79a2974c6cd8a1cae","target":"record","created_at":"2026-05-18T01:23:34Z","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":"369b776c2c477dd43df8b5d6a4ba84aa4081a7d8d47028dfd21d3a3921d0e26b","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-30T18:17:33Z","title_canon_sha256":"b2428b7b6808df2124f11e90e05a104c43e6f2f6c23789095f0b916e23c9eca8"},"schema_version":"1.0","source":{"id":"1512.09046","kind":"arxiv","version":1}},"canonical_sha256":"2cf603aeefb2652ae2b928db4b09362e33c4cdbb8afe45dfb596ae403396057d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cf603aeefb2652ae2b928db4b09362e33c4cdbb8afe45dfb596ae403396057d","first_computed_at":"2026-05-18T01:23:34.125409Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:34.125409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JVmWAUztCPHs5jOSuJ/TswfwyEk4QnlTgp4iFfNy/WwgkhrvMhx51aBukVtRlSqdw0UtkxYgIXWuG/NDTJQVDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:34.125980Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.09046","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77b05a44d17e90814d77ec6420c2e710661f36f888b553c79a2974c6cd8a1cae","sha256:cdce9f33ee5681e794665a233b47d1630af78f93b7ca7bb01209c8bd46b40428"],"state_sha256":"26a0541419d8d5dce5382f098af8de1dd22fe571b66d59deb1251527cc517d51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cERprhTnf8NC8m31K2lvr+g5Bx8r07JMVVoieaiWqPTj1oAoyABoOaDcylgnZVo3hER+RJrV5IXOx2F/JEiRDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T20:48:06.009956Z","bundle_sha256":"1399348cfdd5f7124d354ca0e708ad8fce3c97b0a60150d8e4a7e6ce593baf94"}}