{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:SOV4CABKEMZHEY32U7JOQC33IS","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":"36a55f319e9e333e82161daa080d3a103d4b65fc247433ab5bd2f7a210489653","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2003-02-11T10:50:10Z","title_canon_sha256":"c9a7601f7036bd23944cf1f0caf9bf59eccaef22172bc56fe86e2c72dbfd8294"},"schema_version":"1.0","source":{"id":"nlin/0302019","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0302019","created_at":"2026-05-18T04:15:17Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0302019v2","created_at":"2026-05-18T04:15:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0302019","created_at":"2026-05-18T04:15:17Z"},{"alias_kind":"pith_short_12","alias_value":"SOV4CABKEMZH","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"SOV4CABKEMZHEY32","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"SOV4CABK","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:6f3e05e865e2c1155fd6bc38bb5d08ad0b2f24ca7989a6ee3a38ef8eec86b467","target":"graph","created_at":"2026-05-18T04:15:17Z","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":"The roughening of expanding flame fronts by the accretion of cusp-like singularities is a fascinating example of the interplay between instability, noise and nonlinear dynamics that is reminiscent of self-fractalization in Laplacian growth patterns. The nonlinear integro-differential equation that describes the dynamics of expanding flame fronts is amenable to analytic investigations using pole decomposition. This powerful technique allows the development of a satisfactory understanding of the qualitative and some quantitative aspects of the complex geometry that develops in expanding flame fr","authors_text":"Itamar Procaccia, Oleg Kupervasser, Zeev Olami","cross_cats":["nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2003-02-11T10:50:10Z","title":"Flame front propagation I: The Geometry of Developing Flame Fronts: Analysis with Pole Decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0302019","kind":"arxiv","version":2},"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:ffcdd8a9ba0fcb1285f46ee0067f354a9ccd711307ffb05b698e2bf9d9ffcbfb","target":"record","created_at":"2026-05-18T04:15:17Z","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":"36a55f319e9e333e82161daa080d3a103d4b65fc247433ab5bd2f7a210489653","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2003-02-11T10:50:10Z","title_canon_sha256":"c9a7601f7036bd23944cf1f0caf9bf59eccaef22172bc56fe86e2c72dbfd8294"},"schema_version":"1.0","source":{"id":"nlin/0302019","kind":"arxiv","version":2}},"canonical_sha256":"93abc1002a233272637aa7d2e80b7b448e5d085984581f86bf2498cae4bfa4c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93abc1002a233272637aa7d2e80b7b448e5d085984581f86bf2498cae4bfa4c7","first_computed_at":"2026-05-18T04:15:17.323056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:17.323056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9M9etbw5t1d1o7bPgQISX+oZW3hFDk+WTidDTIkWqGLO/581UcfaMtG58lsovMZMnUqSpezrGBpjI0Rg7pMOBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:17.323813Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0302019","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffcdd8a9ba0fcb1285f46ee0067f354a9ccd711307ffb05b698e2bf9d9ffcbfb","sha256:6f3e05e865e2c1155fd6bc38bb5d08ad0b2f24ca7989a6ee3a38ef8eec86b467"],"state_sha256":"ab4e04112df67d5ec17e3a08b0f4c49fada6d7b1ac3d57d370396715471660ad"}