{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ZVOFBWRNKURN4MQVPZI3LMJFMO","short_pith_number":"pith:ZVOFBWRN","canonical_record":{"source":{"id":"2406.03692","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-06-06T02:21:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d45d0e8c92127d12e35dcc6d713cb6bb5ce1d8000e4d4d904d8652e0e58bcae9","abstract_canon_sha256":"175025f4cb50e3a16600e4c35c621878e5d124c30da7da759825839b28dbcbfc"},"schema_version":"1.0"},"canonical_sha256":"cd5c50da2d5522de32157e51b5b12563bb23023adef003f99b4d7910e502e7f2","source":{"kind":"arxiv","id":"2406.03692","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.03692","created_at":"2026-07-05T08:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"2406.03692v1","created_at":"2026-07-05T08:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.03692","created_at":"2026-07-05T08:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"ZVOFBWRNKURN","created_at":"2026-07-05T08:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"ZVOFBWRNKURN4MQV","created_at":"2026-07-05T08:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"ZVOFBWRN","created_at":"2026-07-05T08:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ZVOFBWRNKURN4MQVPZI3LMJFMO","target":"record","payload":{"canonical_record":{"source":{"id":"2406.03692","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-06-06T02:21:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d45d0e8c92127d12e35dcc6d713cb6bb5ce1d8000e4d4d904d8652e0e58bcae9","abstract_canon_sha256":"175025f4cb50e3a16600e4c35c621878e5d124c30da7da759825839b28dbcbfc"},"schema_version":"1.0"},"canonical_sha256":"cd5c50da2d5522de32157e51b5b12563bb23023adef003f99b4d7910e502e7f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:28:14.737086Z","signature_b64":"RnxSczTlKoizqOlU0SR9mVGq70ANBb3twkiKqLITetT/R6pAA+o9N8cg7rCW0jyimPVWr2km2ftTJxNJi/NSCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd5c50da2d5522de32157e51b5b12563bb23023adef003f99b4d7910e502e7f2","last_reissued_at":"2026-07-05T08:28:14.736639Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:28:14.736639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.03692","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":"2026-07-05T08:28:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qOcLMA22SeLJzHrXj+W3hMIpdksze6R6SbioLPWZooS5cCobKLJBn8l+SzZey/79HsFBOUTT0lRwEkTPHWW8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T10:06:26.753139Z"},"content_sha256":"1f18298c95e5716cedddc0e0de3e10445b6510ca72ea3c6cf9eda357a21fbf2a","schema_version":"1.0","event_id":"sha256:1f18298c95e5716cedddc0e0de3e10445b6510ca72ea3c6cf9eda357a21fbf2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ZVOFBWRNKURN4MQVPZI3LMJFMO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Taub-NUT Black Holes with Massive Spin-2 Hair","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Hai-Shan Liu, YU-Qi Chen","submitted_at":"2024-06-06T02:21:03Z","abstract_excerpt":"We consider Einstein gravity extended with quadratic curvature invariants, where the well-known Ricci-flat Taub-NUT black hole remains a solution. An analysis of the unstable Lichnerowicz modes in the Taub-NUT background enables us to identify the mass and NUT parameters (m,n) where new Taub-NUT black holes can emerge. We then adopt numerical technique to construct these new Taub-NUT black holes that bifurcate away from the Ricci-flat ones. Unlike the Ricci-flat Taub-NUT, there can exist two new black holes for an appropriate given temperature, making it a total of three if we include the Ricc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.03692","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.03692/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":"2026-07-05T08:28:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IY6VZKOJPLr31xaNS+ugy6e97YsPrjtAWapQ2Y4hfZx9PPyqU9dKPrJTDTjZt3Q4L+HzSm2axKETM9sgKJyEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T10:06:26.753687Z"},"content_sha256":"618f5be675fcb66bd7afcda7aac97fa0dea13f8196edc4adfd78ce64a658185f","schema_version":"1.0","event_id":"sha256:618f5be675fcb66bd7afcda7aac97fa0dea13f8196edc4adfd78ce64a658185f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZVOFBWRNKURN4MQVPZI3LMJFMO/bundle.json","state_url":"https://pith.science/pith/ZVOFBWRNKURN4MQVPZI3LMJFMO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZVOFBWRNKURN4MQVPZI3LMJFMO/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":"2026-08-10T10:06:26Z","links":{"resolver":"https://pith.science/pith/ZVOFBWRNKURN4MQVPZI3LMJFMO","bundle":"https://pith.science/pith/ZVOFBWRNKURN4MQVPZI3LMJFMO/bundle.json","state":"https://pith.science/pith/ZVOFBWRNKURN4MQVPZI3LMJFMO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZVOFBWRNKURN4MQVPZI3LMJFMO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZVOFBWRNKURN4MQVPZI3LMJFMO","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":"175025f4cb50e3a16600e4c35c621878e5d124c30da7da759825839b28dbcbfc","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-06-06T02:21:03Z","title_canon_sha256":"d45d0e8c92127d12e35dcc6d713cb6bb5ce1d8000e4d4d904d8652e0e58bcae9"},"schema_version":"1.0","source":{"id":"2406.03692","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.03692","created_at":"2026-07-05T08:28:14Z"},{"alias_kind":"arxiv_version","alias_value":"2406.03692v1","created_at":"2026-07-05T08:28:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.03692","created_at":"2026-07-05T08:28:14Z"},{"alias_kind":"pith_short_12","alias_value":"ZVOFBWRNKURN","created_at":"2026-07-05T08:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"ZVOFBWRNKURN4MQV","created_at":"2026-07-05T08:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"ZVOFBWRN","created_at":"2026-07-05T08:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:618f5be675fcb66bd7afcda7aac97fa0dea13f8196edc4adfd78ce64a658185f","target":"graph","created_at":"2026-07-05T08:28:14Z","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/2406.03692/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider Einstein gravity extended with quadratic curvature invariants, where the well-known Ricci-flat Taub-NUT black hole remains a solution. An analysis of the unstable Lichnerowicz modes in the Taub-NUT background enables us to identify the mass and NUT parameters (m,n) where new Taub-NUT black holes can emerge. We then adopt numerical technique to construct these new Taub-NUT black holes that bifurcate away from the Ricci-flat ones. Unlike the Ricci-flat Taub-NUT, there can exist two new black holes for an appropriate given temperature, making it a total of three if we include the Ricc","authors_text":"Hai-Shan Liu, YU-Qi Chen","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-06-06T02:21:03Z","title":"New Taub-NUT Black Holes with Massive Spin-2 Hair"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.03692","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":"sha256:1f18298c95e5716cedddc0e0de3e10445b6510ca72ea3c6cf9eda357a21fbf2a","target":"record","created_at":"2026-07-05T08:28:14Z","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":"175025f4cb50e3a16600e4c35c621878e5d124c30da7da759825839b28dbcbfc","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-06-06T02:21:03Z","title_canon_sha256":"d45d0e8c92127d12e35dcc6d713cb6bb5ce1d8000e4d4d904d8652e0e58bcae9"},"schema_version":"1.0","source":{"id":"2406.03692","kind":"arxiv","version":1}},"canonical_sha256":"cd5c50da2d5522de32157e51b5b12563bb23023adef003f99b4d7910e502e7f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd5c50da2d5522de32157e51b5b12563bb23023adef003f99b4d7910e502e7f2","first_computed_at":"2026-07-05T08:28:14.736639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:28:14.736639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RnxSczTlKoizqOlU0SR9mVGq70ANBb3twkiKqLITetT/R6pAA+o9N8cg7rCW0jyimPVWr2km2ftTJxNJi/NSCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:28:14.737086Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.03692","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f18298c95e5716cedddc0e0de3e10445b6510ca72ea3c6cf9eda357a21fbf2a","sha256:618f5be675fcb66bd7afcda7aac97fa0dea13f8196edc4adfd78ce64a658185f"],"state_sha256":"b5b67271075a6dbe83de9ae3bc47e8dfc782b70adea9b6c664b245920a93798e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qc0FzT4Q2RC9l1LqHx4t2GIgVIH+WuHzzxmmZkg9ur5+ur+XhiFhsdyJQIKx/WFH6Jxk9E86VPjCENJzKC24Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T10:06:26.758732Z","bundle_sha256":"ea26900a3f33479da0d215c9e147ecdb90e6ea25a015891d48213e1247e4549f"}}