{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5VUZJWAOORWTOYTH3ONQUAZWP7","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":"a65fb1ae0c69dbb66c82a39b9470b77c008129b68653d89d26b42879e73372e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-06-03T08:58:30Z","title_canon_sha256":"e37a35a13e47b9acad99d6045b7366282de5bb34f9b8875c57ea6bbc0cff7ac9"},"schema_version":"1.0","source":{"id":"1406.0629","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0629","created_at":"2026-05-18T02:50:33Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0629v1","created_at":"2026-05-18T02:50:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0629","created_at":"2026-05-18T02:50:33Z"},{"alias_kind":"pith_short_12","alias_value":"5VUZJWAOORWT","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"5VUZJWAOORWTOYTH","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"5VUZJWAO","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:86016c0e2d31a15d181811be12da039009e8f1369ebf385d4cc3466cad3969c1","target":"graph","created_at":"2026-05-18T02:50:33Z","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":"Steady premixed flames subjected to space-periodic steady forcing are studied via inhomogeneous Michelson-Sivashinsky (MS) and then Burgers equations. For both, the flame slope is posited to comprise contributions from complex poles to locate, and from a base-slope profile chosen in three classes (pairs of cotangents, single-sine functions or sums thereof). Base-slope-dependent equations for the pole locations, along with formal expressions for the wrinkling-induced flame-speed increment and the forcing function, are obtained on excluding movable singularities from the latter. Besides exact fe","authors_text":"Bruno Denet, Guy Joulin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-06-03T08:58:30Z","title":"Shapes and speeds of forced premixed flames"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0629","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":"sha256:92effb2fd105b8a04db2ed1761cda3a473d109769c479165ff20c09a962e907f","target":"record","created_at":"2026-05-18T02:50:33Z","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":"a65fb1ae0c69dbb66c82a39b9470b77c008129b68653d89d26b42879e73372e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-06-03T08:58:30Z","title_canon_sha256":"e37a35a13e47b9acad99d6045b7366282de5bb34f9b8875c57ea6bbc0cff7ac9"},"schema_version":"1.0","source":{"id":"1406.0629","kind":"arxiv","version":1}},"canonical_sha256":"ed6994d80e746d376267db9b0a03367fdf693a121316fe8b9bb150d13a8d0a5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed6994d80e746d376267db9b0a03367fdf693a121316fe8b9bb150d13a8d0a5a","first_computed_at":"2026-05-18T02:50:33.154356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:33.154356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x4ykcAX0fTs2KX/sTPz9UiJ2znDX1KGgMt/0vn5GD4vo3RCeyr14MwR+mkkP4QdkU2ODllylfOacCzJ/dh10DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:33.154818Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.0629","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92effb2fd105b8a04db2ed1761cda3a473d109769c479165ff20c09a962e907f","sha256:86016c0e2d31a15d181811be12da039009e8f1369ebf385d4cc3466cad3969c1"],"state_sha256":"84f7dae1a99e3af32a9eee9bbaf555b323323115883dbc0992b029754b7d9344"}