{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ZEWG7IAJAIIZLUUVHUCEFOB3VR","short_pith_number":"pith:ZEWG7IAJ","canonical_record":{"source":{"id":"1012.0777","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-12-03T16:16:24Z","cross_cats_sorted":[],"title_canon_sha256":"5e585be5c1249ecf2a6c0856ae9fc83996b89b4b11a7eb5cbbe65d66fb8a0a97","abstract_canon_sha256":"7e61dce1d8dbd3d85b83507c2601b0d9ab08078c910c72a2087b8b321f22cc30"},"schema_version":"1.0"},"canonical_sha256":"c92c6fa009021195d2953d0442b83bac7d2dd928c3299a38301cc00a322d1f51","source":{"kind":"arxiv","id":"1012.0777","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0777","created_at":"2026-05-18T04:34:09Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0777v1","created_at":"2026-05-18T04:34:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0777","created_at":"2026-05-18T04:34:09Z"},{"alias_kind":"pith_short_12","alias_value":"ZEWG7IAJAIIZ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"ZEWG7IAJAIIZLUUV","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"ZEWG7IAJ","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ZEWG7IAJAIIZLUUVHUCEFOB3VR","target":"record","payload":{"canonical_record":{"source":{"id":"1012.0777","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-12-03T16:16:24Z","cross_cats_sorted":[],"title_canon_sha256":"5e585be5c1249ecf2a6c0856ae9fc83996b89b4b11a7eb5cbbe65d66fb8a0a97","abstract_canon_sha256":"7e61dce1d8dbd3d85b83507c2601b0d9ab08078c910c72a2087b8b321f22cc30"},"schema_version":"1.0"},"canonical_sha256":"c92c6fa009021195d2953d0442b83bac7d2dd928c3299a38301cc00a322d1f51","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:09.498238Z","signature_b64":"BVeNXP28LlTo2exaQ+hrxenvp3UfHnZQtUMvbQ8j/2ABEGeRshd/uaGyfkW0VdnL8ffeeoARpUp/hmIk9ujBCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c92c6fa009021195d2953d0442b83bac7d2dd928c3299a38301cc00a322d1f51","last_reissued_at":"2026-05-18T04:34:09.497870Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:09.497870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.0777","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:34:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wv1cp8xMFyRpV4C1Te09CGHfqUx3xdUBiQ2aIlX7uiSQRc77sBOmoOmLBw6rWXFEa4hBaMf2vjHC08k97PSqAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:56:10.163640Z"},"content_sha256":"b988ad4535914b93c6a350944de4e84155c201da0db9c370e045e545eab382df","schema_version":"1.0","event_id":"sha256:b988ad4535914b93c6a350944de4e84155c201da0db9c370e045e545eab382df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ZEWG7IAJAIIZLUUVHUCEFOB3VR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jos\\'e M. Mart\\'in-Garc\\'ia, Piotr T. Chru\\'sciel, Yvonne Choquet-Bruhat","submitted_at":"2010-12-03T16:16:24Z","abstract_excerpt":"We prove that analytic initial data on a light cone arising from a metric satisfying a \"near-roundness\" condition near the vertex lead to a solution of the vacuum Einstein equations to the future of the light-cone."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0777","kind":"arxiv","version":1},"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":"2026-05-18T04:34:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r3r+mQxBLuTgIWzlxnqn+6XdpgwfoVvN5nE4W0OyXNr+Y2xQ2oJxHPgql+PsfZtt2CejlPB8M4bOA7HESnAiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:56:10.164062Z"},"content_sha256":"81a3d2af468021984dff55d54bc854a73002c7b9ad3e85357d2998458941348e","schema_version":"1.0","event_id":"sha256:81a3d2af468021984dff55d54bc854a73002c7b9ad3e85357d2998458941348e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZEWG7IAJAIIZLUUVHUCEFOB3VR/bundle.json","state_url":"https://pith.science/pith/ZEWG7IAJAIIZLUUVHUCEFOB3VR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZEWG7IAJAIIZLUUVHUCEFOB3VR/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":"2026-06-06T20:56:10Z","links":{"resolver":"https://pith.science/pith/ZEWG7IAJAIIZLUUVHUCEFOB3VR","bundle":"https://pith.science/pith/ZEWG7IAJAIIZLUUVHUCEFOB3VR/bundle.json","state":"https://pith.science/pith/ZEWG7IAJAIIZLUUVHUCEFOB3VR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZEWG7IAJAIIZLUUVHUCEFOB3VR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZEWG7IAJAIIZLUUVHUCEFOB3VR","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":"7e61dce1d8dbd3d85b83507c2601b0d9ab08078c910c72a2087b8b321f22cc30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-12-03T16:16:24Z","title_canon_sha256":"5e585be5c1249ecf2a6c0856ae9fc83996b89b4b11a7eb5cbbe65d66fb8a0a97"},"schema_version":"1.0","source":{"id":"1012.0777","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0777","created_at":"2026-05-18T04:34:09Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0777v1","created_at":"2026-05-18T04:34:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0777","created_at":"2026-05-18T04:34:09Z"},{"alias_kind":"pith_short_12","alias_value":"ZEWG7IAJAIIZ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"ZEWG7IAJAIIZLUUV","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"ZEWG7IAJ","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:81a3d2af468021984dff55d54bc854a73002c7b9ad3e85357d2998458941348e","target":"graph","created_at":"2026-05-18T04:34:09Z","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":"We prove that analytic initial data on a light cone arising from a metric satisfying a \"near-roundness\" condition near the vertex lead to a solution of the vacuum Einstein equations to the future of the light-cone.","authors_text":"Jos\\'e M. Mart\\'in-Garc\\'ia, Piotr T. Chru\\'sciel, Yvonne Choquet-Bruhat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-12-03T16:16:24Z","title":"An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0777","kind":"arxiv","version":1},"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:b988ad4535914b93c6a350944de4e84155c201da0db9c370e045e545eab382df","target":"record","created_at":"2026-05-18T04:34:09Z","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":"7e61dce1d8dbd3d85b83507c2601b0d9ab08078c910c72a2087b8b321f22cc30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-12-03T16:16:24Z","title_canon_sha256":"5e585be5c1249ecf2a6c0856ae9fc83996b89b4b11a7eb5cbbe65d66fb8a0a97"},"schema_version":"1.0","source":{"id":"1012.0777","kind":"arxiv","version":1}},"canonical_sha256":"c92c6fa009021195d2953d0442b83bac7d2dd928c3299a38301cc00a322d1f51","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c92c6fa009021195d2953d0442b83bac7d2dd928c3299a38301cc00a322d1f51","first_computed_at":"2026-05-18T04:34:09.497870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:09.497870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BVeNXP28LlTo2exaQ+hrxenvp3UfHnZQtUMvbQ8j/2ABEGeRshd/uaGyfkW0VdnL8ffeeoARpUp/hmIk9ujBCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:09.498238Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0777","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b988ad4535914b93c6a350944de4e84155c201da0db9c370e045e545eab382df","sha256:81a3d2af468021984dff55d54bc854a73002c7b9ad3e85357d2998458941348e"],"state_sha256":"345d8bbae3a8e19a203cd9d94020ab437e4be5c646915593274ec25dbf0af1c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ybYNirKgN/MRR7zV8KtcFm6/EocuXrwJpXeikbFazK80xS0foxI+EMYukUrTHe1ZgXSyQwpzb4Ux1mtucwAkAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:56:10.167545Z","bundle_sha256":"c72a723de6c678d15743731449c3adc262639137dff29ed3a4a033e475d5ce08"}}