{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:BAGIGMDLXHAECEUXYDPDEBHCPK","short_pith_number":"pith:BAGIGMDL","schema_version":"1.0","canonical_sha256":"080c83306bb9c0411297c0de3204e27abc29e2b3185b57607e02fe6cd0ee9176","source":{"kind":"arxiv","id":"2108.01471","version":2},"attestation_state":"computed","paper":{"title":"What's inside a hairy black hole in massive gravity?","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Li Li, Matteo Baggioli, Morteza Rafiee, Seyed Ali Hosseini Mansoori","submitted_at":"2021-08-03T13:00:34Z","abstract_excerpt":"In the context of massive gravity theories, we study holographic flows driven by a relevant scalar operator and interpolating between a UV 3-dimensional CFT and a trans-IR Kasner universe. For a large class of scalar potentials, the Cauchy horizon never forms in presence of a non-trivial scalar hair, although, in absence of it, the black hole solution has an inner horizon due to the finite graviton mass. We show that the instability of the Cauchy horizon triggered by the scalar field is associated to a rapid collapse of the Einstein-Rosen bridge. The corresponding flows run smoothly through th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2108.01471","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-08-03T13:00:34Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bab48872eb2638b65bd4cac63d326268c5b3330a0eccb9cdf8b473514c5c3dea","abstract_canon_sha256":"0f237eb77a8e5e15655c2770842fa3829da052af5db0f62e8d059fcb47f13fbc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:23:13.251725Z","signature_b64":"iqLojG2iNhg17nMDmHlznq6S7XmoSdyGXKe80TtzyCEg/DSo9LvdjFD6tHqRTpv+XMgRSJgBgi6jiL+SGqrUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"080c83306bb9c0411297c0de3204e27abc29e2b3185b57607e02fe6cd0ee9176","last_reissued_at":"2026-07-05T03:23:13.251264Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:23:13.251264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"What's inside a hairy black hole in massive gravity?","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Li Li, Matteo Baggioli, Morteza Rafiee, Seyed Ali Hosseini Mansoori","submitted_at":"2021-08-03T13:00:34Z","abstract_excerpt":"In the context of massive gravity theories, we study holographic flows driven by a relevant scalar operator and interpolating between a UV 3-dimensional CFT and a trans-IR Kasner universe. For a large class of scalar potentials, the Cauchy horizon never forms in presence of a non-trivial scalar hair, although, in absence of it, the black hole solution has an inner horizon due to the finite graviton mass. We show that the instability of the Cauchy horizon triggered by the scalar field is associated to a rapid collapse of the Einstein-Rosen bridge. The corresponding flows run smoothly through th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.01471","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2108.01471/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2108.01471","created_at":"2026-07-05T03:23:13.251326+00:00"},{"alias_kind":"arxiv_version","alias_value":"2108.01471v2","created_at":"2026-07-05T03:23:13.251326+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.01471","created_at":"2026-07-05T03:23:13.251326+00:00"},{"alias_kind":"pith_short_12","alias_value":"BAGIGMDLXHAE","created_at":"2026-07-05T03:23:13.251326+00:00"},{"alias_kind":"pith_short_16","alias_value":"BAGIGMDLXHAECEUX","created_at":"2026-07-05T03:23:13.251326+00:00"},{"alias_kind":"pith_short_8","alias_value":"BAGIGMDL","created_at":"2026-07-05T03:23:13.251326+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2512.24893","citing_title":"Interior structure of black holes with nonlinear terms","ref_index":30,"is_internal_anchor":false},{"citing_arxiv_id":"2604.13104","citing_title":"Nonequilibrium crossover in the supercritical region from quench dynamics","ref_index":58,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BAGIGMDLXHAECEUXYDPDEBHCPK","json":"https://pith.science/pith/BAGIGMDLXHAECEUXYDPDEBHCPK.json","graph_json":"https://pith.science/api/pith-number/BAGIGMDLXHAECEUXYDPDEBHCPK/graph.json","events_json":"https://pith.science/api/pith-number/BAGIGMDLXHAECEUXYDPDEBHCPK/events.json","paper":"https://pith.science/paper/BAGIGMDL"},"agent_actions":{"view_html":"https://pith.science/pith/BAGIGMDLXHAECEUXYDPDEBHCPK","download_json":"https://pith.science/pith/BAGIGMDLXHAECEUXYDPDEBHCPK.json","view_paper":"https://pith.science/paper/BAGIGMDL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2108.01471&json=true","fetch_graph":"https://pith.science/api/pith-number/BAGIGMDLXHAECEUXYDPDEBHCPK/graph.json","fetch_events":"https://pith.science/api/pith-number/BAGIGMDLXHAECEUXYDPDEBHCPK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BAGIGMDLXHAECEUXYDPDEBHCPK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BAGIGMDLXHAECEUXYDPDEBHCPK/action/storage_attestation","attest_author":"https://pith.science/pith/BAGIGMDLXHAECEUXYDPDEBHCPK/action/author_attestation","sign_citation":"https://pith.science/pith/BAGIGMDLXHAECEUXYDPDEBHCPK/action/citation_signature","submit_replication":"https://pith.science/pith/BAGIGMDLXHAECEUXYDPDEBHCPK/action/replication_record"}},"created_at":"2026-07-05T03:23:13.251326+00:00","updated_at":"2026-07-05T03:23:13.251326+00:00"}