{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:H475XWEVNABEOX2GTV7CGFCTWW","short_pith_number":"pith:H475XWEV","canonical_record":{"source":{"id":"0809.1662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-09-09T20:27:45Z","cross_cats_sorted":["math.AP","math.DG"],"title_canon_sha256":"43389bb843119b73b9adf9bd53689f52eec71bcff159b3a1c3e7d0cba77d7922","abstract_canon_sha256":"bb1bf44d10b00a4e68fe7f17bc297d21e2189374f1fcb8704e4b8ea9534d0cd6"},"schema_version":"1.0"},"canonical_sha256":"3f3fdbd8956802475f469d7e231453b5bf75d3c11c0b0ef719736ca2e5969afa","source":{"kind":"arxiv","id":"0809.1662","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.1662","created_at":"2026-05-18T02:15:35Z"},{"alias_kind":"arxiv_version","alias_value":"0809.1662v1","created_at":"2026-05-18T02:15:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1662","created_at":"2026-05-18T02:15:35Z"},{"alias_kind":"pith_short_12","alias_value":"H475XWEVNABE","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"H475XWEVNABEOX2G","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"H475XWEV","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:H475XWEVNABEOX2GTV7CGFCTWW","target":"record","payload":{"canonical_record":{"source":{"id":"0809.1662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-09-09T20:27:45Z","cross_cats_sorted":["math.AP","math.DG"],"title_canon_sha256":"43389bb843119b73b9adf9bd53689f52eec71bcff159b3a1c3e7d0cba77d7922","abstract_canon_sha256":"bb1bf44d10b00a4e68fe7f17bc297d21e2189374f1fcb8704e4b8ea9534d0cd6"},"schema_version":"1.0"},"canonical_sha256":"3f3fdbd8956802475f469d7e231453b5bf75d3c11c0b0ef719736ca2e5969afa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:35.062401Z","signature_b64":"XhmSJSpCVJ4vHqlbVcdRTdx2KRWEaqfwchcK4Tg4+O7Ce63e9KFH7D5UljgeZ1dA++6DjpHnl0Sk6ntuIft0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f3fdbd8956802475f469d7e231453b5bf75d3c11c0b0ef719736ca2e5969afa","last_reissued_at":"2026-05-18T02:15:35.061660Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:35.061660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0809.1662","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":"2026-05-18T02:15:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UJXihSXaYlpJ92PjTfaPz1qqNE7MnzpSd31WFZ1BziGgOYTkvyFj7kAsg+2aJVp0hkVtC+WmkOc+sIb6WycmBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:27:59.293772Z"},"content_sha256":"da7e4f23894ec4b67627005072f3b72ebedcc73db6b8ea15d763f2ef4a5fe731","schema_version":"1.0","event_id":"sha256:da7e4f23894ec4b67627005072f3b72ebedcc73db6b8ea15d763f2ef4a5fe731"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:H475XWEVNABEOX2GTV7CGFCTWW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Cauchy problem for the debar operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.DG"],"primary_cat":"math.CV","authors_text":"C. Denson Hill, Judith Brinkschulte","submitted_at":"2008-09-09T20:27:45Z","abstract_excerpt":"We present new results concerning the solvability, of lack thereof, in the Cauchy problem for the debar operator, with initial values assigned on a weakly pseudoconvex hypersurface, and provide illustrative examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1662","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":"2026-05-18T02:15:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tEzJaQRZCig5sWbrQ6+aRWe7Mo82ZL0KyCtJgPR0zR665iY38i0Q8i9YQH2EqCM+il2Zrg3qRrdTij5RnJBlBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:27:59.294449Z"},"content_sha256":"84fce0c8235156fd65bbcb2b2e9caf3adad28648e72f735b0948cdc6e9eb5b63","schema_version":"1.0","event_id":"sha256:84fce0c8235156fd65bbcb2b2e9caf3adad28648e72f735b0948cdc6e9eb5b63"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H475XWEVNABEOX2GTV7CGFCTWW/bundle.json","state_url":"https://pith.science/pith/H475XWEVNABEOX2GTV7CGFCTWW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H475XWEVNABEOX2GTV7CGFCTWW/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":"2026-06-08T20:27:59Z","links":{"resolver":"https://pith.science/pith/H475XWEVNABEOX2GTV7CGFCTWW","bundle":"https://pith.science/pith/H475XWEVNABEOX2GTV7CGFCTWW/bundle.json","state":"https://pith.science/pith/H475XWEVNABEOX2GTV7CGFCTWW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H475XWEVNABEOX2GTV7CGFCTWW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:H475XWEVNABEOX2GTV7CGFCTWW","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":"bb1bf44d10b00a4e68fe7f17bc297d21e2189374f1fcb8704e4b8ea9534d0cd6","cross_cats_sorted":["math.AP","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-09-09T20:27:45Z","title_canon_sha256":"43389bb843119b73b9adf9bd53689f52eec71bcff159b3a1c3e7d0cba77d7922"},"schema_version":"1.0","source":{"id":"0809.1662","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.1662","created_at":"2026-05-18T02:15:35Z"},{"alias_kind":"arxiv_version","alias_value":"0809.1662v1","created_at":"2026-05-18T02:15:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1662","created_at":"2026-05-18T02:15:35Z"},{"alias_kind":"pith_short_12","alias_value":"H475XWEVNABE","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"H475XWEVNABEOX2G","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"H475XWEV","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:84fce0c8235156fd65bbcb2b2e9caf3adad28648e72f735b0948cdc6e9eb5b63","target":"graph","created_at":"2026-05-18T02:15:35Z","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 present new results concerning the solvability, of lack thereof, in the Cauchy problem for the debar operator, with initial values assigned on a weakly pseudoconvex hypersurface, and provide illustrative examples.","authors_text":"C. Denson Hill, Judith Brinkschulte","cross_cats":["math.AP","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-09-09T20:27:45Z","title":"On the Cauchy problem for the debar operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1662","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:da7e4f23894ec4b67627005072f3b72ebedcc73db6b8ea15d763f2ef4a5fe731","target":"record","created_at":"2026-05-18T02:15:35Z","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":"bb1bf44d10b00a4e68fe7f17bc297d21e2189374f1fcb8704e4b8ea9534d0cd6","cross_cats_sorted":["math.AP","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-09-09T20:27:45Z","title_canon_sha256":"43389bb843119b73b9adf9bd53689f52eec71bcff159b3a1c3e7d0cba77d7922"},"schema_version":"1.0","source":{"id":"0809.1662","kind":"arxiv","version":1}},"canonical_sha256":"3f3fdbd8956802475f469d7e231453b5bf75d3c11c0b0ef719736ca2e5969afa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f3fdbd8956802475f469d7e231453b5bf75d3c11c0b0ef719736ca2e5969afa","first_computed_at":"2026-05-18T02:15:35.061660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:35.061660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XhmSJSpCVJ4vHqlbVcdRTdx2KRWEaqfwchcK4Tg4+O7Ce63e9KFH7D5UljgeZ1dA++6DjpHnl0Sk6ntuIft0CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:35.062401Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.1662","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da7e4f23894ec4b67627005072f3b72ebedcc73db6b8ea15d763f2ef4a5fe731","sha256:84fce0c8235156fd65bbcb2b2e9caf3adad28648e72f735b0948cdc6e9eb5b63"],"state_sha256":"f916d898b5fcf521cb3ae5ba5fd640bf9f058fe308c382082a5ceeb3fd6425f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nvQdg77H2vKmFJU38Upc9vBCeky5FscAIj0jScpnx6g0UGuKR2xY67VpHRmTMK22wn1sH90FKXnt5JE5tOUDDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T20:27:59.298352Z","bundle_sha256":"2b80833f07da3ddc6f2a2e437d403188d0c07c5d703cbccce2d59772d9dd2b59"}}