{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:IJ4MTVRHGJZ4W4NQWUOKKCXFXV","short_pith_number":"pith:IJ4MTVRH","canonical_record":{"source":{"id":"2410.08763","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-10-11T12:23:11Z","cross_cats_sorted":[],"title_canon_sha256":"afe1c3c1e9cd096d75e45ae9ffebbd58b686a63926205572b84bf2b619282ca6","abstract_canon_sha256":"918846b01ad67068223bcb0d360608d3022c546400c5b29e6515d1d6e10d2570"},"schema_version":"1.0"},"canonical_sha256":"4278c9d6273273cb71b0b51ca50ae5bd55a591563d8569428d09c434029b1d80","source":{"kind":"arxiv","id":"2410.08763","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.08763","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"arxiv_version","alias_value":"2410.08763v2","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.08763","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"pith_short_12","alias_value":"IJ4MTVRHGJZ4","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"pith_short_16","alias_value":"IJ4MTVRHGJZ4W4NQ","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"pith_short_8","alias_value":"IJ4MTVRH","created_at":"2026-05-25T02:01:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:IJ4MTVRHGJZ4W4NQWUOKKCXFXV","target":"record","payload":{"canonical_record":{"source":{"id":"2410.08763","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-10-11T12:23:11Z","cross_cats_sorted":[],"title_canon_sha256":"afe1c3c1e9cd096d75e45ae9ffebbd58b686a63926205572b84bf2b619282ca6","abstract_canon_sha256":"918846b01ad67068223bcb0d360608d3022c546400c5b29e6515d1d6e10d2570"},"schema_version":"1.0"},"canonical_sha256":"4278c9d6273273cb71b0b51ca50ae5bd55a591563d8569428d09c434029b1d80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:01:01.431722Z","signature_b64":"Xb9ISnVbBtvmuedB5QcsDS4B458pzfDgRY5mXN2B/a0irwn3Y7lfKJRsMN7yuV1/dVv2vaIkxFd8MdK6foYWCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4278c9d6273273cb71b0b51ca50ae5bd55a591563d8569428d09c434029b1d80","last_reissued_at":"2026-05-25T02:01:01.431158Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:01:01.431158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.08763","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":"2026-05-25T02:01:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J9vWkzoxVoJCzJ6bAfn/6lP0wMx4Hhfrhsd/mxj9rT5pMNtmjLLeShdD/e3nZLdQwrZ69yc4ZW+rv5mJmRHmCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:13:40.798998Z"},"content_sha256":"0efaedc158bb5f32bffcfbb96dc10bc2009b38c5b462b56a34910b165be61c4a","schema_version":"1.0","event_id":"sha256:0efaedc158bb5f32bffcfbb96dc10bc2009b38c5b462b56a34910b165be61c4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:IJ4MTVRHGJZ4W4NQWUOKKCXFXV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Burgers-FKPP advection-reaction-diffusion equation with cut-off","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Mariya Ptashnyk, Nikola Popovic, Zak Sattar","submitted_at":"2024-10-11T12:23:11Z","abstract_excerpt":"We investigate the effect of a Heaviside cut-off on the front propagation dynamics of the so-called Burgers-FisherKolmogoroff-Petrowskii-Piscounov (Burgers-FKPP) advection-reaction-diffusion equation. We prove the existence and uniqueness of a travelling front solution in the presence of a cut-off in the reaction kinetics and the advection term, and we derive the leading-order asymptotics for the speed of propagation of the front in dependence on the advection strength and the cut-off parameter. Our analysis relies on geometric techniques from dynamical systems theory and specifically, on geom"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.08763","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.08763/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-25T02:01:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eOY2hAM8kPzo8FW0/FY/1+uVTbK+bzQzi7lZ8+Q5NwLCn7wwKz1yXhav/nJXWXTinGM7NRvhULFXxUJB/CkNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:13:40.799557Z"},"content_sha256":"d949eafc34533f2cf1ddeea9664dd61c745065d4ce602efb0fba89aa216e3ebc","schema_version":"1.0","event_id":"sha256:d949eafc34533f2cf1ddeea9664dd61c745065d4ce602efb0fba89aa216e3ebc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IJ4MTVRHGJZ4W4NQWUOKKCXFXV/bundle.json","state_url":"https://pith.science/pith/IJ4MTVRHGJZ4W4NQWUOKKCXFXV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IJ4MTVRHGJZ4W4NQWUOKKCXFXV/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":"2026-06-05T21:13:40Z","links":{"resolver":"https://pith.science/pith/IJ4MTVRHGJZ4W4NQWUOKKCXFXV","bundle":"https://pith.science/pith/IJ4MTVRHGJZ4W4NQWUOKKCXFXV/bundle.json","state":"https://pith.science/pith/IJ4MTVRHGJZ4W4NQWUOKKCXFXV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IJ4MTVRHGJZ4W4NQWUOKKCXFXV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:IJ4MTVRHGJZ4W4NQWUOKKCXFXV","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":"918846b01ad67068223bcb0d360608d3022c546400c5b29e6515d1d6e10d2570","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-10-11T12:23:11Z","title_canon_sha256":"afe1c3c1e9cd096d75e45ae9ffebbd58b686a63926205572b84bf2b619282ca6"},"schema_version":"1.0","source":{"id":"2410.08763","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.08763","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"arxiv_version","alias_value":"2410.08763v2","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.08763","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"pith_short_12","alias_value":"IJ4MTVRHGJZ4","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"pith_short_16","alias_value":"IJ4MTVRHGJZ4W4NQ","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"pith_short_8","alias_value":"IJ4MTVRH","created_at":"2026-05-25T02:01:01Z"}],"graph_snapshots":[{"event_id":"sha256:d949eafc34533f2cf1ddeea9664dd61c745065d4ce602efb0fba89aa216e3ebc","target":"graph","created_at":"2026-05-25T02:01:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.08763/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the effect of a Heaviside cut-off on the front propagation dynamics of the so-called Burgers-FisherKolmogoroff-Petrowskii-Piscounov (Burgers-FKPP) advection-reaction-diffusion equation. We prove the existence and uniqueness of a travelling front solution in the presence of a cut-off in the reaction kinetics and the advection term, and we derive the leading-order asymptotics for the speed of propagation of the front in dependence on the advection strength and the cut-off parameter. Our analysis relies on geometric techniques from dynamical systems theory and specifically, on geom","authors_text":"Mariya Ptashnyk, Nikola Popovic, Zak Sattar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-10-11T12:23:11Z","title":"The Burgers-FKPP advection-reaction-diffusion equation with cut-off"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.08763","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":"sha256:0efaedc158bb5f32bffcfbb96dc10bc2009b38c5b462b56a34910b165be61c4a","target":"record","created_at":"2026-05-25T02:01:01Z","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":"918846b01ad67068223bcb0d360608d3022c546400c5b29e6515d1d6e10d2570","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-10-11T12:23:11Z","title_canon_sha256":"afe1c3c1e9cd096d75e45ae9ffebbd58b686a63926205572b84bf2b619282ca6"},"schema_version":"1.0","source":{"id":"2410.08763","kind":"arxiv","version":2}},"canonical_sha256":"4278c9d6273273cb71b0b51ca50ae5bd55a591563d8569428d09c434029b1d80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4278c9d6273273cb71b0b51ca50ae5bd55a591563d8569428d09c434029b1d80","first_computed_at":"2026-05-25T02:01:01.431158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:01:01.431158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xb9ISnVbBtvmuedB5QcsDS4B458pzfDgRY5mXN2B/a0irwn3Y7lfKJRsMN7yuV1/dVv2vaIkxFd8MdK6foYWCQ==","signature_status":"signed_v1","signed_at":"2026-05-25T02:01:01.431722Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.08763","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0efaedc158bb5f32bffcfbb96dc10bc2009b38c5b462b56a34910b165be61c4a","sha256:d949eafc34533f2cf1ddeea9664dd61c745065d4ce602efb0fba89aa216e3ebc"],"state_sha256":"92f4d5e1f4ff63f929946f7cf59170c44da9b81125382846517e98d2f346d66a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KAcviuxfXwGuTcIf1vtlsIGb9T35qqTLmeXhsNwE/iQO8R4DlRZ4636fXie1PUEfLQOPxUIOnbDNXvFzAUfzAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T21:13:40.803107Z","bundle_sha256":"ebf96a5e1ccecc57471ef71aeb1ec868d30cb7b8ac7311dd1325470690c23d3c"}}