{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:GM5PTXQWYS6ZZXQFGX3DLAQAOQ","short_pith_number":"pith:GM5PTXQW","canonical_record":{"source":{"id":"nlin/0302020","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2003-02-11T10:53:17Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"afb3610dea357fd00068ca4a4dfd2e7ffc9081e8bc821f251c6276e970dc5e33","abstract_canon_sha256":"628ce4eb7131268bbc73543194802c5145cd221d9fc8dc85f8c3851042cc8c19"},"schema_version":"1.0"},"canonical_sha256":"333af9de16c4bd9cde0535f635820074148817ad2dc16c144cc7cdf151d6a43e","source":{"kind":"arxiv","id":"nlin/0302020","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0302020","created_at":"2026-05-18T04:15:07Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0302020v2","created_at":"2026-05-18T04:15:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0302020","created_at":"2026-05-18T04:15:07Z"},{"alias_kind":"pith_short_12","alias_value":"GM5PTXQWYS6Z","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"GM5PTXQWYS6ZZXQF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"GM5PTXQW","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:GM5PTXQWYS6ZZXQFGX3DLAQAOQ","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0302020","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2003-02-11T10:53:17Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"afb3610dea357fd00068ca4a4dfd2e7ffc9081e8bc821f251c6276e970dc5e33","abstract_canon_sha256":"628ce4eb7131268bbc73543194802c5145cd221d9fc8dc85f8c3851042cc8c19"},"schema_version":"1.0"},"canonical_sha256":"333af9de16c4bd9cde0535f635820074148817ad2dc16c144cc7cdf151d6a43e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:07.276191Z","signature_b64":"X9+feC7Ht8hquJLJp631S/PgSijLV56FRAS1N4NDbk36TxW9OS9V9mrYDHCzpQPEnbcj+rrmAGhBiei3tFYXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"333af9de16c4bd9cde0535f635820074148817ad2dc16c144cc7cdf151d6a43e","last_reissued_at":"2026-05-18T04:15:07.275557Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:07.275557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0302020","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:15:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"APLwDX63SwNxhowqbxxsynwFHTr33scPDAjSkA8icEbGR4uS9562vnw8jJSL8Yqodt5L5GTZJi+dMn3zwpKIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T02:40:30.068467Z"},"content_sha256":"705c1e363b1dd8a781692c6716f4251fa2cbeb439444606e4216e85d88a0f49b","schema_version":"1.0","event_id":"sha256:705c1e363b1dd8a781692c6716f4251fa2cbeb439444606e4216e85d88a0f49b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:GM5PTXQWYS6ZZXQFGX3DLAQAOQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flame front propagation V: Stability Analysis of Flame Fronts: Dynamical Systems Approach in the Complex Plane","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":"2003-02-11T10:53:17Z","abstract_excerpt":"We consider flame front propagation in channel geometries. The steady state solution in this problem is space dependent, and therefore the linear stability analysis is described by a partial integro-differential equation with a space dependent coefficient. Accordingly it involves complicated eigenfunctions. We show that the analysis can be performed to required detail using a finite order dynamical system in terms of the dynamics of singularities in the complex plane, yielding detailed understanding of the physics of the eigenfunctions and eigenvalues."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0302020","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:15:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ov9cq/GkTSEVmpcK4RV4WZtL/6DE4sUms12Q/dpsyFCzjCd59HxfK7anfHhEhAmzhvCdE6elD0bOp2P/9+klBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T02:40:30.068818Z"},"content_sha256":"493b65b70b989e8eaf50f3bf29ba557620ac6fd9f72cd05fb8065f8372a8e1c0","schema_version":"1.0","event_id":"sha256:493b65b70b989e8eaf50f3bf29ba557620ac6fd9f72cd05fb8065f8372a8e1c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GM5PTXQWYS6ZZXQFGX3DLAQAOQ/bundle.json","state_url":"https://pith.science/pith/GM5PTXQWYS6ZZXQFGX3DLAQAOQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GM5PTXQWYS6ZZXQFGX3DLAQAOQ/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":"2026-06-25T02:40:30Z","links":{"resolver":"https://pith.science/pith/GM5PTXQWYS6ZZXQFGX3DLAQAOQ","bundle":"https://pith.science/pith/GM5PTXQWYS6ZZXQFGX3DLAQAOQ/bundle.json","state":"https://pith.science/pith/GM5PTXQWYS6ZZXQFGX3DLAQAOQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GM5PTXQWYS6ZZXQFGX3DLAQAOQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:GM5PTXQWYS6ZZXQFGX3DLAQAOQ","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":"628ce4eb7131268bbc73543194802c5145cd221d9fc8dc85f8c3851042cc8c19","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2003-02-11T10:53:17Z","title_canon_sha256":"afb3610dea357fd00068ca4a4dfd2e7ffc9081e8bc821f251c6276e970dc5e33"},"schema_version":"1.0","source":{"id":"nlin/0302020","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0302020","created_at":"2026-05-18T04:15:07Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0302020v2","created_at":"2026-05-18T04:15:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0302020","created_at":"2026-05-18T04:15:07Z"},{"alias_kind":"pith_short_12","alias_value":"GM5PTXQWYS6Z","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"GM5PTXQWYS6ZZXQF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"GM5PTXQW","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:493b65b70b989e8eaf50f3bf29ba557620ac6fd9f72cd05fb8065f8372a8e1c0","target":"graph","created_at":"2026-05-18T04:15:07Z","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 consider flame front propagation in channel geometries. The steady state solution in this problem is space dependent, and therefore the linear stability analysis is described by a partial integro-differential equation with a space dependent coefficient. Accordingly it involves complicated eigenfunctions. We show that the analysis can be performed to required detail using a finite order dynamical system in terms of the dynamics of singularities in the complex plane, yielding detailed understanding of the physics of the eigenfunctions and eigenvalues.","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":"2003-02-11T10:53:17Z","title":"Flame front propagation V: Stability Analysis of Flame Fronts: Dynamical Systems Approach in the Complex Plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0302020","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":"sha256:705c1e363b1dd8a781692c6716f4251fa2cbeb439444606e4216e85d88a0f49b","target":"record","created_at":"2026-05-18T04:15:07Z","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":"628ce4eb7131268bbc73543194802c5145cd221d9fc8dc85f8c3851042cc8c19","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2003-02-11T10:53:17Z","title_canon_sha256":"afb3610dea357fd00068ca4a4dfd2e7ffc9081e8bc821f251c6276e970dc5e33"},"schema_version":"1.0","source":{"id":"nlin/0302020","kind":"arxiv","version":2}},"canonical_sha256":"333af9de16c4bd9cde0535f635820074148817ad2dc16c144cc7cdf151d6a43e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"333af9de16c4bd9cde0535f635820074148817ad2dc16c144cc7cdf151d6a43e","first_computed_at":"2026-05-18T04:15:07.275557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:07.275557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X9+feC7Ht8hquJLJp631S/PgSijLV56FRAS1N4NDbk36TxW9OS9V9mrYDHCzpQPEnbcj+rrmAGhBiei3tFYXBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:07.276191Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0302020","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:705c1e363b1dd8a781692c6716f4251fa2cbeb439444606e4216e85d88a0f49b","sha256:493b65b70b989e8eaf50f3bf29ba557620ac6fd9f72cd05fb8065f8372a8e1c0"],"state_sha256":"c9e3e4e534949f9c1ca49cf1e7f6f27bdb9707bf1dcefe758e98b28cd21ee88f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XcL+jGh94X8gbRcyCSeun1KMtkRP06/qMcd7cOsTZromzRkgtu0aZZYzcxRRjJA50eWZ0ll+WlTqcDqRGxNQAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T02:40:30.070821Z","bundle_sha256":"9ee417354d0f13a3a0806059b234d58829b13352f3df997363cd79860c6c165d"}}