{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CMG7RGUF2P453KJMSXYD26O362","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":"bc2470bf12d8f1a98960237b15ba5618a79fd6cc69d5d8d5043aaf1e047d1cdc","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-01T14:03:24Z","title_canon_sha256":"3f5dc810860b158eafdf3dad18929b17116829ff97cd00841cb880e3b511adf8"},"schema_version":"1.0","source":{"id":"1907.00796","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.00796","created_at":"2026-05-17T23:41:48Z"},{"alias_kind":"arxiv_version","alias_value":"1907.00796v1","created_at":"2026-05-17T23:41:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.00796","created_at":"2026-05-17T23:41:48Z"},{"alias_kind":"pith_short_12","alias_value":"CMG7RGUF2P45","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"CMG7RGUF2P453KJM","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"CMG7RGUF","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:889ed2ab1989077b3c75bdd8789d1149845753334df4d02427f82000ebf5c33f","target":"graph","created_at":"2026-05-17T23:41:48Z","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 study the generation of singularities from the initial datum for a solution of the Cauchy problem for a class of Hamilton-Jacobi equations of evolution. For such equations, we give conditions for the existence of singular generalized characteristics starting at the initial time from a given point of the domain, depending on the properties of the proximal subdifferential of the initial datum in a neighbourhood of that point.","authors_text":"Carlo Sinestrari, Paolo Albano, Piermarco Cannarsa","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-01T14:03:24Z","title":"Generation of singularities from the initial datum for Hamilton-Jacobi equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.00796","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":"sha256:8d9d0f04aefeb608ed6d5175836885f7c2d6b8f2c00e1af7970588d2498d9879","target":"record","created_at":"2026-05-17T23:41:48Z","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":"bc2470bf12d8f1a98960237b15ba5618a79fd6cc69d5d8d5043aaf1e047d1cdc","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-01T14:03:24Z","title_canon_sha256":"3f5dc810860b158eafdf3dad18929b17116829ff97cd00841cb880e3b511adf8"},"schema_version":"1.0","source":{"id":"1907.00796","kind":"arxiv","version":1}},"canonical_sha256":"130df89a85d3f9dda92c95f03d79dbf6b2dcf0be17e01f6f5367ae1981db8d34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"130df89a85d3f9dda92c95f03d79dbf6b2dcf0be17e01f6f5367ae1981db8d34","first_computed_at":"2026-05-17T23:41:48.069852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:48.069852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yYt6H3D1/W/spjD+bV5uImU9yXlt1RJpd/oPFrjIv1mvMT0Dk/vgEUBddZkel0geovSiuzStNQwdzcMFKhZuBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:48.070683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.00796","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d9d0f04aefeb608ed6d5175836885f7c2d6b8f2c00e1af7970588d2498d9879","sha256:889ed2ab1989077b3c75bdd8789d1149845753334df4d02427f82000ebf5c33f"],"state_sha256":"193b42257b9e28ce33c5b835e6c86749fec65065948b9765229da71a47764a40"}