{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:VSZUSRSXFQMJTTWHBYDBQDOCCN","short_pith_number":"pith:VSZUSRSX","canonical_record":{"source":{"id":"math/0210352","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2002-10-22T19:21:22Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"821722d40402a8e7a5842dbbd1961aba81bfdbb68fcb72cf51f506a1c34b2997","abstract_canon_sha256":"72a37052149131b21c7790b3a3c159f03e80c03472d6be57168ed7dab5d3fb92"},"schema_version":"1.0"},"canonical_sha256":"acb34946572c1899cec70e06180dc213466a140268f84caf839381ccc798443b","source":{"kind":"arxiv","id":"math/0210352","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0210352","created_at":"2026-05-18T01:14:26Z"},{"alias_kind":"arxiv_version","alias_value":"math/0210352v5","created_at":"2026-05-18T01:14:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0210352","created_at":"2026-05-18T01:14:26Z"},{"alias_kind":"pith_short_12","alias_value":"VSZUSRSXFQMJ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"VSZUSRSXFQMJTTWH","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"VSZUSRSX","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:VSZUSRSXFQMJTTWHBYDBQDOCCN","target":"record","payload":{"canonical_record":{"source":{"id":"math/0210352","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2002-10-22T19:21:22Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"821722d40402a8e7a5842dbbd1961aba81bfdbb68fcb72cf51f506a1c34b2997","abstract_canon_sha256":"72a37052149131b21c7790b3a3c159f03e80c03472d6be57168ed7dab5d3fb92"},"schema_version":"1.0"},"canonical_sha256":"acb34946572c1899cec70e06180dc213466a140268f84caf839381ccc798443b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:26.437752Z","signature_b64":"E+yJZTsHS3wt2YrnLrxvm20zrLc8NjZqUHqsTrQDZTxm6Epbr2Wf+FurwvPbzCrJDfHtD5xv4d5CcqbenBZbCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acb34946572c1899cec70e06180dc213466a140268f84caf839381ccc798443b","last_reissued_at":"2026-05-18T01:14:26.437001Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:26.437001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0210352","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:14:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HRnTsGRWzlYoWnmt90QGaE7GPunMkbmUDQJ2xPYrexq2foqoTTaO0OG+2nDM0FBgU1IPBuwj2a/iyR/jDQ5fDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:50:29.917808Z"},"content_sha256":"a6347803e3a316d4e50183993e74f64bbf98c2a118eff07781f90a8679d561c1","schema_version":"1.0","event_id":"sha256:a6347803e3a316d4e50183993e74f64bbf98c2a118eff07781f90a8679d561c1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:VSZUSRSXFQMJTTWHBYDBQDOCCN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global Existence and Uniqueness of Minimal Surfaces in Globally Hyperbolic Manifolds","license":"","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.DG","authors_text":"Olaf M\\\"uller","submitted_at":"2002-10-22T19:21:22Z","abstract_excerpt":"In this note a proof is given for global existence and uniqueness of minimal surfaces of Lorentzian type from a cylinder into globally hyperbolic Lorentzian manifolds for given initial values up to the first derivatives."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0210352","kind":"arxiv","version":5},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:14:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0bBfBzgEGVi2LSCTci04TLSxilaZzycXCrB4gezAnzdDrrmxcFtvBWonIFXELkz6dIpPmvNcMR4DgAX0NvpwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:50:29.918149Z"},"content_sha256":"7d8a7351b0d7b7d72af41d646013cf7b3982e16e446837d91286e945abae2148","schema_version":"1.0","event_id":"sha256:7d8a7351b0d7b7d72af41d646013cf7b3982e16e446837d91286e945abae2148"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VSZUSRSXFQMJTTWHBYDBQDOCCN/bundle.json","state_url":"https://pith.science/pith/VSZUSRSXFQMJTTWHBYDBQDOCCN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VSZUSRSXFQMJTTWHBYDBQDOCCN/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":"2026-06-24T21:50:29Z","links":{"resolver":"https://pith.science/pith/VSZUSRSXFQMJTTWHBYDBQDOCCN","bundle":"https://pith.science/pith/VSZUSRSXFQMJTTWHBYDBQDOCCN/bundle.json","state":"https://pith.science/pith/VSZUSRSXFQMJTTWHBYDBQDOCCN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VSZUSRSXFQMJTTWHBYDBQDOCCN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:VSZUSRSXFQMJTTWHBYDBQDOCCN","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":"72a37052149131b21c7790b3a3c159f03e80c03472d6be57168ed7dab5d3fb92","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"","primary_cat":"math.DG","submitted_at":"2002-10-22T19:21:22Z","title_canon_sha256":"821722d40402a8e7a5842dbbd1961aba81bfdbb68fcb72cf51f506a1c34b2997"},"schema_version":"1.0","source":{"id":"math/0210352","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0210352","created_at":"2026-05-18T01:14:26Z"},{"alias_kind":"arxiv_version","alias_value":"math/0210352v5","created_at":"2026-05-18T01:14:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0210352","created_at":"2026-05-18T01:14:26Z"},{"alias_kind":"pith_short_12","alias_value":"VSZUSRSXFQMJ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"VSZUSRSXFQMJTTWH","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"VSZUSRSX","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:7d8a7351b0d7b7d72af41d646013cf7b3982e16e446837d91286e945abae2148","target":"graph","created_at":"2026-05-18T01:14:26Z","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"},"paper":{"abstract_excerpt":"In this note a proof is given for global existence and uniqueness of minimal surfaces of Lorentzian type from a cylinder into globally hyperbolic Lorentzian manifolds for given initial values up to the first derivatives.","authors_text":"Olaf M\\\"uller","cross_cats":["math-ph","math.AP","math.MP"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2002-10-22T19:21:22Z","title":"Global Existence and Uniqueness of Minimal Surfaces in Globally Hyperbolic Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0210352","kind":"arxiv","version":5},"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:a6347803e3a316d4e50183993e74f64bbf98c2a118eff07781f90a8679d561c1","target":"record","created_at":"2026-05-18T01:14:26Z","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":"72a37052149131b21c7790b3a3c159f03e80c03472d6be57168ed7dab5d3fb92","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"","primary_cat":"math.DG","submitted_at":"2002-10-22T19:21:22Z","title_canon_sha256":"821722d40402a8e7a5842dbbd1961aba81bfdbb68fcb72cf51f506a1c34b2997"},"schema_version":"1.0","source":{"id":"math/0210352","kind":"arxiv","version":5}},"canonical_sha256":"acb34946572c1899cec70e06180dc213466a140268f84caf839381ccc798443b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acb34946572c1899cec70e06180dc213466a140268f84caf839381ccc798443b","first_computed_at":"2026-05-18T01:14:26.437001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:26.437001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E+yJZTsHS3wt2YrnLrxvm20zrLc8NjZqUHqsTrQDZTxm6Epbr2Wf+FurwvPbzCrJDfHtD5xv4d5CcqbenBZbCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:26.437752Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0210352","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6347803e3a316d4e50183993e74f64bbf98c2a118eff07781f90a8679d561c1","sha256:7d8a7351b0d7b7d72af41d646013cf7b3982e16e446837d91286e945abae2148"],"state_sha256":"886a142653c6b9aac812ca27da4e586b3e56bfed69fdbb493a1b5d6ba4d32584"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8m38+hIoebavygdg9m6yUwqerwgLOo04FabaiMLSUtugXe/ItQkpE+pygWrxwLmgs4V5MCUwTtMG7cPOBAN3CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T21:50:29.920058Z","bundle_sha256":"948be7b99cf9566eeeab528768f6e004cf76304d9ab25ca79dc0a6d72523649b"}}