{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:ISLZCUJKRA5F6Y4TMONDPWYBTF","short_pith_number":"pith:ISLZCUJK","schema_version":"1.0","canonical_sha256":"449791512a883a5f6393639a37db019971766012ff601f262ca4658971e8b0bb","source":{"kind":"arxiv","id":"2507.15567","version":3},"attestation_state":"computed","paper":{"title":"Well-posed geometric boundary data in General Relativity, II: twisted Dirichlet boundary data","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AP","math.DG"],"primary_cat":"gr-qc","authors_text":"Michael T. Anderson, Zhongshan An","submitted_at":"2025-07-21T12:47:57Z","abstract_excerpt":"In this second work in a series, we prove the local-in-time well-posedness of the IBVP for the vacuum Einstein equations in general relativity with twisted Dirichlet boundary conditions on a finite timelike boundary. The boundary conditions consist of specification of the pointwise conformal class of the boundary metric, together with a scalar density involving a combination of the volume form of the bulk metric restricted to the boundary together with the volume form of the boundary metric itself."},"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":"2507.15567","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-07-21T12:47:57Z","cross_cats_sorted":["math.AP","math.DG"],"title_canon_sha256":"2f9860b54a23c5ab98e1450be60b551e282be02182407fd8cdbde172a899ed9c","abstract_canon_sha256":"716ec4e44760a05d3c7feae3e99ae22fb227c878528fffeffea2cac1f3328287"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:03:32.780401Z","signature_b64":"YoYakv2IhyqS09msMAD/uqTKNuhu73LN1nN2q4/LQsYzsTtF6zzFdw4Eh/YAlaMS+4b+Kq85DuJ58xZ23NPWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"449791512a883a5f6393639a37db019971766012ff601f262ca4658971e8b0bb","last_reissued_at":"2026-06-02T01:03:32.779869Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:03:32.779869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Well-posed geometric boundary data in General Relativity, II: twisted Dirichlet boundary data","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AP","math.DG"],"primary_cat":"gr-qc","authors_text":"Michael T. Anderson, Zhongshan An","submitted_at":"2025-07-21T12:47:57Z","abstract_excerpt":"In this second work in a series, we prove the local-in-time well-posedness of the IBVP for the vacuum Einstein equations in general relativity with twisted Dirichlet boundary conditions on a finite timelike boundary. The boundary conditions consist of specification of the pointwise conformal class of the boundary metric, together with a scalar density involving a combination of the volume form of the bulk metric restricted to the boundary together with the volume form of the boundary metric itself."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.15567","kind":"arxiv","version":3},"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/2507.15567/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":"2507.15567","created_at":"2026-06-02T01:03:32.779932+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.15567v3","created_at":"2026-06-02T01:03:32.779932+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.15567","created_at":"2026-06-02T01:03:32.779932+00:00"},{"alias_kind":"pith_short_12","alias_value":"ISLZCUJKRA5F","created_at":"2026-06-02T01:03:32.779932+00:00"},{"alias_kind":"pith_short_16","alias_value":"ISLZCUJKRA5F6Y4T","created_at":"2026-06-02T01:03:32.779932+00:00"},{"alias_kind":"pith_short_8","alias_value":"ISLZCUJK","created_at":"2026-06-02T01:03:32.779932+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.10267","citing_title":"The yes boundaries wavefunctions of the universe","ref_index":146,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ISLZCUJKRA5F6Y4TMONDPWYBTF","json":"https://pith.science/pith/ISLZCUJKRA5F6Y4TMONDPWYBTF.json","graph_json":"https://pith.science/api/pith-number/ISLZCUJKRA5F6Y4TMONDPWYBTF/graph.json","events_json":"https://pith.science/api/pith-number/ISLZCUJKRA5F6Y4TMONDPWYBTF/events.json","paper":"https://pith.science/paper/ISLZCUJK"},"agent_actions":{"view_html":"https://pith.science/pith/ISLZCUJKRA5F6Y4TMONDPWYBTF","download_json":"https://pith.science/pith/ISLZCUJKRA5F6Y4TMONDPWYBTF.json","view_paper":"https://pith.science/paper/ISLZCUJK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.15567&json=true","fetch_graph":"https://pith.science/api/pith-number/ISLZCUJKRA5F6Y4TMONDPWYBTF/graph.json","fetch_events":"https://pith.science/api/pith-number/ISLZCUJKRA5F6Y4TMONDPWYBTF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ISLZCUJKRA5F6Y4TMONDPWYBTF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ISLZCUJKRA5F6Y4TMONDPWYBTF/action/storage_attestation","attest_author":"https://pith.science/pith/ISLZCUJKRA5F6Y4TMONDPWYBTF/action/author_attestation","sign_citation":"https://pith.science/pith/ISLZCUJKRA5F6Y4TMONDPWYBTF/action/citation_signature","submit_replication":"https://pith.science/pith/ISLZCUJKRA5F6Y4TMONDPWYBTF/action/replication_record"}},"created_at":"2026-06-02T01:03:32.779932+00:00","updated_at":"2026-06-02T01:03:32.779932+00:00"}