{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:S7DGTSGPCI3WCSP4I2WCKRQXZI","short_pith_number":"pith:S7DGTSGP","schema_version":"1.0","canonical_sha256":"97c669c8cf12376149fc46ac254617ca0cf65f83db68423d7183ec0c5b735165","source":{"kind":"arxiv","id":"1709.09137","version":2},"attestation_state":"computed","paper":{"title":"The interior of dynamical extremal black holes in spherical symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Dejan Gajic, Jonathan Luk","submitted_at":"2017-09-26T17:16:01Z","abstract_excerpt":"We study the nonlinear stability of the Cauchy horizon in the interior of extremal Reissner-Nordstr\\\"om black holes under spherical symmetry. We consider the Einstein-Maxwell-Klein-Gordon system such that the charge of the scalar field is appropriately small in terms of the mass of the background extremal Reissner-Nordstr\\\"om black hole. Given spherically symmetric characteristic initial data which approach the event horizon of extremal Reissner-Nordstr\\\"om sufficiently fast, we prove that the solution extends beyond the Cauchy horizon in $C^{0,\\frac{1}{2}}\\cap W^{1,2}_{loc}$, in contrast to t"},"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":"1709.09137","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-26T17:16:01Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"545f529b53ffac6b9074d2f401d578fe6d1b0226e71d52a537f1a4bd0071913d","abstract_canon_sha256":"641db2778c416f4f8fd93c13c0954ae7629fc7901ed52c77c218fe0f7050f91e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:13.485230Z","signature_b64":"vFbTH78octKd8K4NE62Il4AZ6+536PSz+ThaZmD3cxJkILsH52c5t2UvV60qG++lUFdz4sC/xjU32wcp9VeTBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97c669c8cf12376149fc46ac254617ca0cf65f83db68423d7183ec0c5b735165","last_reissued_at":"2026-05-17T23:46:13.484403Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:13.484403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The interior of dynamical extremal black holes in spherical symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Dejan Gajic, Jonathan Luk","submitted_at":"2017-09-26T17:16:01Z","abstract_excerpt":"We study the nonlinear stability of the Cauchy horizon in the interior of extremal Reissner-Nordstr\\\"om black holes under spherical symmetry. We consider the Einstein-Maxwell-Klein-Gordon system such that the charge of the scalar field is appropriately small in terms of the mass of the background extremal Reissner-Nordstr\\\"om black hole. Given spherically symmetric characteristic initial data which approach the event horizon of extremal Reissner-Nordstr\\\"om sufficiently fast, we prove that the solution extends beyond the Cauchy horizon in $C^{0,\\frac{1}{2}}\\cap W^{1,2}_{loc}$, in contrast to t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.09137","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1709.09137","created_at":"2026-05-17T23:46:13.484791+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.09137v2","created_at":"2026-05-17T23:46:13.484791+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.09137","created_at":"2026-05-17T23:46:13.484791+00:00"},{"alias_kind":"pith_short_12","alias_value":"S7DGTSGPCI3W","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"S7DGTSGPCI3WCSP4","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"S7DGTSGP","created_at":"2026-05-18T12:31:43.269735+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.26191","citing_title":"Gravitational Properties of the Monopole Bag","ref_index":105,"is_internal_anchor":true},{"citing_arxiv_id":"2604.26191","citing_title":"Gravitational Properties of the Monopole Bag","ref_index":105,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/S7DGTSGPCI3WCSP4I2WCKRQXZI","json":"https://pith.science/pith/S7DGTSGPCI3WCSP4I2WCKRQXZI.json","graph_json":"https://pith.science/api/pith-number/S7DGTSGPCI3WCSP4I2WCKRQXZI/graph.json","events_json":"https://pith.science/api/pith-number/S7DGTSGPCI3WCSP4I2WCKRQXZI/events.json","paper":"https://pith.science/paper/S7DGTSGP"},"agent_actions":{"view_html":"https://pith.science/pith/S7DGTSGPCI3WCSP4I2WCKRQXZI","download_json":"https://pith.science/pith/S7DGTSGPCI3WCSP4I2WCKRQXZI.json","view_paper":"https://pith.science/paper/S7DGTSGP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.09137&json=true","fetch_graph":"https://pith.science/api/pith-number/S7DGTSGPCI3WCSP4I2WCKRQXZI/graph.json","fetch_events":"https://pith.science/api/pith-number/S7DGTSGPCI3WCSP4I2WCKRQXZI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S7DGTSGPCI3WCSP4I2WCKRQXZI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S7DGTSGPCI3WCSP4I2WCKRQXZI/action/storage_attestation","attest_author":"https://pith.science/pith/S7DGTSGPCI3WCSP4I2WCKRQXZI/action/author_attestation","sign_citation":"https://pith.science/pith/S7DGTSGPCI3WCSP4I2WCKRQXZI/action/citation_signature","submit_replication":"https://pith.science/pith/S7DGTSGPCI3WCSP4I2WCKRQXZI/action/replication_record"}},"created_at":"2026-05-17T23:46:13.484791+00:00","updated_at":"2026-05-17T23:46:13.484791+00:00"}