{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:SOV4CABKEMZHEY32U7JOQC33IS","short_pith_number":"pith:SOV4CABK","schema_version":"1.0","canonical_sha256":"93abc1002a233272637aa7d2e80b7b448e5d085984581f86bf2498cae4bfa4c7","source":{"kind":"arxiv","id":"nlin/0302019","version":2},"attestation_state":"computed","paper":{"title":"Flame front propagation I: The Geometry of Developing Flame Fronts: Analysis with Pole Decomposition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.SI"],"primary_cat":"nlin.PS","authors_text":"Itamar Procaccia, Oleg Kupervasser, Zeev Olami","submitted_at":"2003-02-11T10:50:10Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"nlin/0302019","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2003-02-11T10:50:10Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"c9a7601f7036bd23944cf1f0caf9bf59eccaef22172bc56fe86e2c72dbfd8294","abstract_canon_sha256":"36a55f319e9e333e82161daa080d3a103d4b65fc247433ab5bd2f7a210489653"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:17.323813Z","signature_b64":"9M9etbw5t1d1o7bPgQISX+oZW3hFDk+WTidDTIkWqGLO/581UcfaMtG58lsovMZMnUqSpezrGBpjI0Rg7pMOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93abc1002a233272637aa7d2e80b7b448e5d085984581f86bf2498cae4bfa4c7","last_reissued_at":"2026-05-18T04:15:17.323056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:17.323056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Flame front propagation I: The Geometry of Developing Flame Fronts: Analysis with Pole Decomposition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.SI"],"primary_cat":"nlin.PS","authors_text":"Itamar Procaccia, Oleg Kupervasser, Zeev Olami","submitted_at":"2003-02-11T10:50:10Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0302019","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0302019","created_at":"2026-05-18T04:15:17.323190+00:00"},{"alias_kind":"arxiv_version","alias_value":"nlin/0302019v2","created_at":"2026-05-18T04:15:17.323190+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0302019","created_at":"2026-05-18T04:15:17.323190+00:00"},{"alias_kind":"pith_short_12","alias_value":"SOV4CABKEMZH","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"SOV4CABKEMZHEY32","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"SOV4CABK","created_at":"2026-05-18T12:25:52.051335+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SOV4CABKEMZHEY32U7JOQC33IS","json":"https://pith.science/pith/SOV4CABKEMZHEY32U7JOQC33IS.json","graph_json":"https://pith.science/api/pith-number/SOV4CABKEMZHEY32U7JOQC33IS/graph.json","events_json":"https://pith.science/api/pith-number/SOV4CABKEMZHEY32U7JOQC33IS/events.json","paper":"https://pith.science/paper/SOV4CABK"},"agent_actions":{"view_html":"https://pith.science/pith/SOV4CABKEMZHEY32U7JOQC33IS","download_json":"https://pith.science/pith/SOV4CABKEMZHEY32U7JOQC33IS.json","view_paper":"https://pith.science/paper/SOV4CABK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nlin/0302019&json=true","fetch_graph":"https://pith.science/api/pith-number/SOV4CABKEMZHEY32U7JOQC33IS/graph.json","fetch_events":"https://pith.science/api/pith-number/SOV4CABKEMZHEY32U7JOQC33IS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SOV4CABKEMZHEY32U7JOQC33IS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SOV4CABKEMZHEY32U7JOQC33IS/action/storage_attestation","attest_author":"https://pith.science/pith/SOV4CABKEMZHEY32U7JOQC33IS/action/author_attestation","sign_citation":"https://pith.science/pith/SOV4CABKEMZHEY32U7JOQC33IS/action/citation_signature","submit_replication":"https://pith.science/pith/SOV4CABKEMZHEY32U7JOQC33IS/action/replication_record"}},"created_at":"2026-05-18T04:15:17.323190+00:00","updated_at":"2026-05-18T04:15:17.323190+00:00"}