{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:GQXYEIW5PVEXX6IX4A4B673EBK","short_pith_number":"pith:GQXYEIW5","canonical_record":{"source":{"id":"2606.07360","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2026-06-05T15:06:58Z","cross_cats_sorted":[],"title_canon_sha256":"c344eb2bf7569437adde241ea8908582c1d3245aa31295c95eeca30d6c8e7220","abstract_canon_sha256":"43adde918b6f98e6895cdc7ad0122d4cd3bded28defe252783e7f34e07922e0b"},"schema_version":"1.0"},"canonical_sha256":"342f8222dd7d497bf917e0381f7f640aad673bdf2009e0a678645f03e0124462","source":{"kind":"arxiv","id":"2606.07360","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.07360","created_at":"2026-06-08T01:05:21Z"},{"alias_kind":"arxiv_version","alias_value":"2606.07360v1","created_at":"2026-06-08T01:05:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.07360","created_at":"2026-06-08T01:05:21Z"},{"alias_kind":"pith_short_12","alias_value":"GQXYEIW5PVEX","created_at":"2026-06-08T01:05:21Z"},{"alias_kind":"pith_short_16","alias_value":"GQXYEIW5PVEXX6IX","created_at":"2026-06-08T01:05:21Z"},{"alias_kind":"pith_short_8","alias_value":"GQXYEIW5","created_at":"2026-06-08T01:05:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:GQXYEIW5PVEXX6IX4A4B673EBK","target":"record","payload":{"canonical_record":{"source":{"id":"2606.07360","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2026-06-05T15:06:58Z","cross_cats_sorted":[],"title_canon_sha256":"c344eb2bf7569437adde241ea8908582c1d3245aa31295c95eeca30d6c8e7220","abstract_canon_sha256":"43adde918b6f98e6895cdc7ad0122d4cd3bded28defe252783e7f34e07922e0b"},"schema_version":"1.0"},"canonical_sha256":"342f8222dd7d497bf917e0381f7f640aad673bdf2009e0a678645f03e0124462","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-08T01:05:21.974717Z","signature_b64":"dhtz/YPumceeoydhIUknwO5kxsS4DnntyzfKMGThzsD6URcfwKAsCPedWdkdpxsd/FJgQGkdTVNxaHGUhpmyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"342f8222dd7d497bf917e0381f7f640aad673bdf2009e0a678645f03e0124462","last_reissued_at":"2026-06-08T01:05:21.973846Z","signature_status":"signed_v1","first_computed_at":"2026-06-08T01:05:21.973846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.07360","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":"2026-06-08T01:05:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6DQ6yDm5qMU1J3rG2JVTNr3EWD2SyILuR2gBz0bixwTyalHCBpmYNBpeySJjgm3aqd0eJc5goJPdYi2vb7P+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:11:17.334089Z"},"content_sha256":"e0d046eb33c5a9cff314300f9adf2bf8f685b2e47ff03b79b43c1e21926e5554","schema_version":"1.0","event_id":"sha256:e0d046eb33c5a9cff314300f9adf2bf8f685b2e47ff03b79b43c1e21926e5554"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:GQXYEIW5PVEXX6IX4A4B673EBK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Dirichlet problem for the prescribed scalar curvature in Anti-de Sitter space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Pierre Bayard","submitted_at":"2026-06-05T15:06:58Z","abstract_excerpt":"We study the Dirichlet problem for the fully non-linear elliptic equation of second order traducing the prescription of the scalar curvature of a spacelike hypersurface in Anti-de Sitter space. The problem is solved if the datas are strictly convex."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.07360","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.07360/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":"2026-06-08T01:05:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"thkHhwYpSIBz8Qjw9DrcHQD7v/HSvIqEDTVaO2x1WDR0EnT3RjMel/VETsXYmtgmA1Or56E+i6HENMESg+nfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:11:17.334468Z"},"content_sha256":"f743301bf2f795da282f103aebab6cb95ee7c26a1b55a9d37752f7b2dbaaadaa","schema_version":"1.0","event_id":"sha256:f743301bf2f795da282f103aebab6cb95ee7c26a1b55a9d37752f7b2dbaaadaa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GQXYEIW5PVEXX6IX4A4B673EBK/bundle.json","state_url":"https://pith.science/pith/GQXYEIW5PVEXX6IX4A4B673EBK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GQXYEIW5PVEXX6IX4A4B673EBK/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":"2026-06-24T08:11:17Z","links":{"resolver":"https://pith.science/pith/GQXYEIW5PVEXX6IX4A4B673EBK","bundle":"https://pith.science/pith/GQXYEIW5PVEXX6IX4A4B673EBK/bundle.json","state":"https://pith.science/pith/GQXYEIW5PVEXX6IX4A4B673EBK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GQXYEIW5PVEXX6IX4A4B673EBK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GQXYEIW5PVEXX6IX4A4B673EBK","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":"43adde918b6f98e6895cdc7ad0122d4cd3bded28defe252783e7f34e07922e0b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2026-06-05T15:06:58Z","title_canon_sha256":"c344eb2bf7569437adde241ea8908582c1d3245aa31295c95eeca30d6c8e7220"},"schema_version":"1.0","source":{"id":"2606.07360","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.07360","created_at":"2026-06-08T01:05:21Z"},{"alias_kind":"arxiv_version","alias_value":"2606.07360v1","created_at":"2026-06-08T01:05:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.07360","created_at":"2026-06-08T01:05:21Z"},{"alias_kind":"pith_short_12","alias_value":"GQXYEIW5PVEX","created_at":"2026-06-08T01:05:21Z"},{"alias_kind":"pith_short_16","alias_value":"GQXYEIW5PVEXX6IX","created_at":"2026-06-08T01:05:21Z"},{"alias_kind":"pith_short_8","alias_value":"GQXYEIW5","created_at":"2026-06-08T01:05:21Z"}],"graph_snapshots":[{"event_id":"sha256:f743301bf2f795da282f103aebab6cb95ee7c26a1b55a9d37752f7b2dbaaadaa","target":"graph","created_at":"2026-06-08T01:05:21Z","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/2606.07360/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the Dirichlet problem for the fully non-linear elliptic equation of second order traducing the prescription of the scalar curvature of a spacelike hypersurface in Anti-de Sitter space. The problem is solved if the datas are strictly convex.","authors_text":"Pierre Bayard","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2026-06-05T15:06:58Z","title":"The Dirichlet problem for the prescribed scalar curvature in Anti-de Sitter space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.07360","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:e0d046eb33c5a9cff314300f9adf2bf8f685b2e47ff03b79b43c1e21926e5554","target":"record","created_at":"2026-06-08T01:05:21Z","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":"43adde918b6f98e6895cdc7ad0122d4cd3bded28defe252783e7f34e07922e0b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2026-06-05T15:06:58Z","title_canon_sha256":"c344eb2bf7569437adde241ea8908582c1d3245aa31295c95eeca30d6c8e7220"},"schema_version":"1.0","source":{"id":"2606.07360","kind":"arxiv","version":1}},"canonical_sha256":"342f8222dd7d497bf917e0381f7f640aad673bdf2009e0a678645f03e0124462","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"342f8222dd7d497bf917e0381f7f640aad673bdf2009e0a678645f03e0124462","first_computed_at":"2026-06-08T01:05:21.973846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-08T01:05:21.973846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dhtz/YPumceeoydhIUknwO5kxsS4DnntyzfKMGThzsD6URcfwKAsCPedWdkdpxsd/FJgQGkdTVNxaHGUhpmyBw==","signature_status":"signed_v1","signed_at":"2026-06-08T01:05:21.974717Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.07360","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0d046eb33c5a9cff314300f9adf2bf8f685b2e47ff03b79b43c1e21926e5554","sha256:f743301bf2f795da282f103aebab6cb95ee7c26a1b55a9d37752f7b2dbaaadaa"],"state_sha256":"62f7228543e661ffeace3db77d30387b38cc5f3fa1eb5ccb7bdaa5634f3312b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qm8c7JqXCKrliUJ+N8owDVPAbiU0SRNSxKxlUFP1mKGr+PFTnFZNSq0YXXsSbwhyCSJlXWYOkrFw1x3ZrFCMCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T08:11:17.336529Z","bundle_sha256":"2ffa5e1bd8c4a3aa99a0721d3b731690730c72d6084fcc6e034ff717fdf3bd2e"}}