{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:I3ZMTEQWRGW3SWDKHYXCU3STJY","short_pith_number":"pith:I3ZMTEQW","canonical_record":{"source":{"id":"2505.07128","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-05-11T21:43:22Z","cross_cats_sorted":["gr-qc","math.DG"],"title_canon_sha256":"2a47e75969e565e30bf1c8d13a73939c5a7eb3198b9bdef3bea3584bb9305f65","abstract_canon_sha256":"a10dd6f352ef7b9ecc5f63b1f617f0092deb52f05731850b893c046a35d66cbe"},"schema_version":"1.0"},"canonical_sha256":"46f2c9921689adb9586a3e2e2a6e534e36e2593bf6f6fa9aaeb3c201d83488fb","source":{"kind":"arxiv","id":"2505.07128","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.07128","created_at":"2026-06-02T01:03:31Z"},{"alias_kind":"arxiv_version","alias_value":"2505.07128v2","created_at":"2026-06-02T01:03:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.07128","created_at":"2026-06-02T01:03:31Z"},{"alias_kind":"pith_short_12","alias_value":"I3ZMTEQWRGW3","created_at":"2026-06-02T01:03:31Z"},{"alias_kind":"pith_short_16","alias_value":"I3ZMTEQWRGW3SWDK","created_at":"2026-06-02T01:03:31Z"},{"alias_kind":"pith_short_8","alias_value":"I3ZMTEQW","created_at":"2026-06-02T01:03:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:I3ZMTEQWRGW3SWDKHYXCU3STJY","target":"record","payload":{"canonical_record":{"source":{"id":"2505.07128","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-05-11T21:43:22Z","cross_cats_sorted":["gr-qc","math.DG"],"title_canon_sha256":"2a47e75969e565e30bf1c8d13a73939c5a7eb3198b9bdef3bea3584bb9305f65","abstract_canon_sha256":"a10dd6f352ef7b9ecc5f63b1f617f0092deb52f05731850b893c046a35d66cbe"},"schema_version":"1.0"},"canonical_sha256":"46f2c9921689adb9586a3e2e2a6e534e36e2593bf6f6fa9aaeb3c201d83488fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:03:31.470597Z","signature_b64":"0oiEOUPQX5FGFJCVe1OIZwttL+0BwQwA6ApW0/vFdqznWbn3xVIKkl26GG6jZp29CESEuYKnywguic05E7R8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46f2c9921689adb9586a3e2e2a6e534e36e2593bf6f6fa9aaeb3c201d83488fb","last_reissued_at":"2026-06-02T01:03:31.470042Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:03:31.470042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.07128","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-02T01:03:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F/eWLnsv7Nqos3H0rSOV+eIqgU/UeRNaEdEqK1+/bASydPdATfGco8oDHsCE+6XuqdCNDcSlsYcRm8z025u4Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:05:22.077184Z"},"content_sha256":"7d34efb34f9fb7f3cf5082083527ec29238583cad7ecc5324c02179dfe840b0b","schema_version":"1.0","event_id":"sha256:7d34efb34f9fb7f3cf5082083527ec29238583cad7ecc5324c02179dfe840b0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:I3ZMTEQWRGW3SWDKHYXCU3STJY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Well-posed geometric boundary data in General Relativity, I: Dirichlet boundary data","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","math.DG"],"primary_cat":"math.AP","authors_text":"Michael T. Anderson, Zhongshan An","submitted_at":"2025-05-11T21:43:22Z","abstract_excerpt":"In this first work in a series, we prove the local-in-time well-posedness of the IBVP for the vacuum Einstein equations with Dirichlet boundary data on a finite timelike boundary, provided the Brown- York stress tensor of the boundary is a Lorentz metric of the same signature (up to an overall sign) as the induced Lorentz metric on the boundary. This is a convexity-type assumption which is an exact analog of a similar result in the Riemannian setting. This assumption on the (extrinsic) Brown-York tensor cannot be dropped in general."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.07128","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/2505.07128/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":"2026-06-02T01:03:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mr7DxkIZ+9Y2NQVUu7+AnILMTaFSyA+NbxS16wMy8TgO5poQJ92INzfeULQam8MhZrkaVxwhniefMjYbMwOKCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:05:22.077582Z"},"content_sha256":"0823b85a8e2ff178ff49a59ba3a46fbc477f2f190174f93ea62148d767962b8a","schema_version":"1.0","event_id":"sha256:0823b85a8e2ff178ff49a59ba3a46fbc477f2f190174f93ea62148d767962b8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I3ZMTEQWRGW3SWDKHYXCU3STJY/bundle.json","state_url":"https://pith.science/pith/I3ZMTEQWRGW3SWDKHYXCU3STJY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I3ZMTEQWRGW3SWDKHYXCU3STJY/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":"2026-06-05T14:05:22Z","links":{"resolver":"https://pith.science/pith/I3ZMTEQWRGW3SWDKHYXCU3STJY","bundle":"https://pith.science/pith/I3ZMTEQWRGW3SWDKHYXCU3STJY/bundle.json","state":"https://pith.science/pith/I3ZMTEQWRGW3SWDKHYXCU3STJY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I3ZMTEQWRGW3SWDKHYXCU3STJY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:I3ZMTEQWRGW3SWDKHYXCU3STJY","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":"a10dd6f352ef7b9ecc5f63b1f617f0092deb52f05731850b893c046a35d66cbe","cross_cats_sorted":["gr-qc","math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-05-11T21:43:22Z","title_canon_sha256":"2a47e75969e565e30bf1c8d13a73939c5a7eb3198b9bdef3bea3584bb9305f65"},"schema_version":"1.0","source":{"id":"2505.07128","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.07128","created_at":"2026-06-02T01:03:31Z"},{"alias_kind":"arxiv_version","alias_value":"2505.07128v2","created_at":"2026-06-02T01:03:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.07128","created_at":"2026-06-02T01:03:31Z"},{"alias_kind":"pith_short_12","alias_value":"I3ZMTEQWRGW3","created_at":"2026-06-02T01:03:31Z"},{"alias_kind":"pith_short_16","alias_value":"I3ZMTEQWRGW3SWDK","created_at":"2026-06-02T01:03:31Z"},{"alias_kind":"pith_short_8","alias_value":"I3ZMTEQW","created_at":"2026-06-02T01:03:31Z"}],"graph_snapshots":[{"event_id":"sha256:0823b85a8e2ff178ff49a59ba3a46fbc477f2f190174f93ea62148d767962b8a","target":"graph","created_at":"2026-06-02T01:03:31Z","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/2505.07128/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this first work in a series, we prove the local-in-time well-posedness of the IBVP for the vacuum Einstein equations with Dirichlet boundary data on a finite timelike boundary, provided the Brown- York stress tensor of the boundary is a Lorentz metric of the same signature (up to an overall sign) as the induced Lorentz metric on the boundary. This is a convexity-type assumption which is an exact analog of a similar result in the Riemannian setting. This assumption on the (extrinsic) Brown-York tensor cannot be dropped in general.","authors_text":"Michael T. Anderson, Zhongshan An","cross_cats":["gr-qc","math.DG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-05-11T21:43:22Z","title":"Well-posed geometric boundary data in General Relativity, I: Dirichlet boundary data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.07128","kind":"arxiv","version":2},"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":"sha256:7d34efb34f9fb7f3cf5082083527ec29238583cad7ecc5324c02179dfe840b0b","target":"record","created_at":"2026-06-02T01:03:31Z","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":"a10dd6f352ef7b9ecc5f63b1f617f0092deb52f05731850b893c046a35d66cbe","cross_cats_sorted":["gr-qc","math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-05-11T21:43:22Z","title_canon_sha256":"2a47e75969e565e30bf1c8d13a73939c5a7eb3198b9bdef3bea3584bb9305f65"},"schema_version":"1.0","source":{"id":"2505.07128","kind":"arxiv","version":2}},"canonical_sha256":"46f2c9921689adb9586a3e2e2a6e534e36e2593bf6f6fa9aaeb3c201d83488fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46f2c9921689adb9586a3e2e2a6e534e36e2593bf6f6fa9aaeb3c201d83488fb","first_computed_at":"2026-06-02T01:03:31.470042Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:03:31.470042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0oiEOUPQX5FGFJCVe1OIZwttL+0BwQwA6ApW0/vFdqznWbn3xVIKkl26GG6jZp29CESEuYKnywguic05E7R8Dw==","signature_status":"signed_v1","signed_at":"2026-06-02T01:03:31.470597Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.07128","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d34efb34f9fb7f3cf5082083527ec29238583cad7ecc5324c02179dfe840b0b","sha256:0823b85a8e2ff178ff49a59ba3a46fbc477f2f190174f93ea62148d767962b8a"],"state_sha256":"002f92cfcecbec52ffd375d319b7ae3fccb39a2e86fc4911c9d4ea069398d11e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YlPfthBbBtBHNNfxdjYzwtaZR1La4WrbDtgEvY5hEe9Yf1pfBLGD3WT5BRTnHvDst2dvG9QwuPIX08Efv6Y/CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:05:22.079601Z","bundle_sha256":"89da16d2174ab2db6cf8a47ed71d8bf74b05f1f33240a23e68df0ded9fe0f2f9"}}