{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:O4ZFR2AM7TJX27E3VBN4B47H2O","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":"5b564b0c62933d087e003279cf051368e3cccbd4e6b0d1c5e6d51a88a487be85","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-21T01:34:46Z","title_canon_sha256":"7ad34111b0f10ba499b43e9b8e504f303512b6d4f9055035ca66ca28453fe1b9"},"schema_version":"1.0","source":{"id":"1305.4692","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4692","created_at":"2026-05-18T03:25:15Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4692v1","created_at":"2026-05-18T03:25:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4692","created_at":"2026-05-18T03:25:15Z"},{"alias_kind":"pith_short_12","alias_value":"O4ZFR2AM7TJX","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"O4ZFR2AM7TJX27E3","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"O4ZFR2AM","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:a60f924f1aa18c2fa7c30f983da90552c6e3e142c27a978e33cc9cfd96b3374e","target":"graph","created_at":"2026-05-18T03:25:15Z","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 a reactive Boussinesq system with no stress boundary conditions in a periodic domain which is unbounded in one direction. Specifically, we couple the reaction-advection-diffusion equation for the temperature, $T$, and the linearized Navier-Stokes equation with the Boussinesq approximation for the fluid flow, $u$. We show that this system admits smooth pulsating front solutions that propagate with a positive, fixed speed.","authors_text":"Christopher Henderson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-21T01:34:46Z","title":"Pulsating Fronts in a 2D Reactive Boussinesq System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4692","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:aead01b38ac15b4f7f302bb8656e9f3c41d90ff4e1f4fea29e7c0d0cd69e3050","target":"record","created_at":"2026-05-18T03:25:15Z","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":"5b564b0c62933d087e003279cf051368e3cccbd4e6b0d1c5e6d51a88a487be85","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-21T01:34:46Z","title_canon_sha256":"7ad34111b0f10ba499b43e9b8e504f303512b6d4f9055035ca66ca28453fe1b9"},"schema_version":"1.0","source":{"id":"1305.4692","kind":"arxiv","version":1}},"canonical_sha256":"773258e80cfcd37d7c9ba85bc0f3e7d38fbfabc0b6b457fc656a44169ad23409","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"773258e80cfcd37d7c9ba85bc0f3e7d38fbfabc0b6b457fc656a44169ad23409","first_computed_at":"2026-05-18T03:25:15.459143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:15.459143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"exLw8oaFqR1Q87+W/YNuW7qN2cRWkxRibO+7Lyx6ms0P6ElyOFmhHiCdPRLWQbmAJLBojAApAvtN+V4WIh4uCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:15.459684Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4692","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aead01b38ac15b4f7f302bb8656e9f3c41d90ff4e1f4fea29e7c0d0cd69e3050","sha256:a60f924f1aa18c2fa7c30f983da90552c6e3e142c27a978e33cc9cfd96b3374e"],"state_sha256":"3056eef9646de9824a1168df50fd13306cef7c1e8c35791476b9fe3fe6538368"}