{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AOD4AR2E34X3S5G4CB647QPENX","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":"efa1efdda1e65fef684ff7482e5c0a5f2b92c77b33c58858f051d144df4c5c94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-19T08:24:54Z","title_canon_sha256":"7d1305d75784389b23f0b0b2eb3215a0d9e38223e6520d6b1625cb49dedbef26"},"schema_version":"1.0","source":{"id":"1610.05908","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05908","created_at":"2026-05-18T01:01:50Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05908v1","created_at":"2026-05-18T01:01:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05908","created_at":"2026-05-18T01:01:50Z"},{"alias_kind":"pith_short_12","alias_value":"AOD4AR2E34X3","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AOD4AR2E34X3S5G4","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AOD4AR2E","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:1d7ddf0ea42995f9b7637959c8f121cad81acd6232da3945092db299f292d8ac","target":"graph","created_at":"2026-05-18T01:01:50Z","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 the homogeneous integro-differential equation$\\partial \\_t u=J*u-u+f(u)$ with a monostable nonlinearity $f$. Our interest is twofold: we investigate the existence/non existence of travelling waves, and  the propagation properties of the Cauchy problem.When the dispersion kernel $J$ is exponentially bounded, travelling waves are known to exist and solutions of the Cauchy problem typically propagate at a constant speed \\cite{Schumacher1980}, \\cite{Weinberger1982}, \\cite{Carr2004}, \\cite{Coville2007a}, \\cite{Coville2008a}, \\cite{Yagisita2009}. %When the dispersion kernel $J$ is expone","authors_text":"J\\'er\\^ome Coville (BIOSP), Matthieu Alfaro (IMAG)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-19T08:24:54Z","title":"Propagation phenomena in monostable integro-differential equations: acceleration or not?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05908","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":"sha256:33f36acc863663316c82ae9e8553eea12674685215191189cd090ea52b2a040e","target":"record","created_at":"2026-05-18T01:01:50Z","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":"efa1efdda1e65fef684ff7482e5c0a5f2b92c77b33c58858f051d144df4c5c94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-19T08:24:54Z","title_canon_sha256":"7d1305d75784389b23f0b0b2eb3215a0d9e38223e6520d6b1625cb49dedbef26"},"schema_version":"1.0","source":{"id":"1610.05908","kind":"arxiv","version":1}},"canonical_sha256":"0387c04744df2fb974dc107dcfc1e46ded670331f61aba5c1cde07cf06c0dfa3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0387c04744df2fb974dc107dcfc1e46ded670331f61aba5c1cde07cf06c0dfa3","first_computed_at":"2026-05-18T01:01:50.736646Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:50.736646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jgtacgYPYYCTS4BLxCbHeiUqDiERTPXEwxhLOdpVzn18lJHn+4JlERGhlWVPtGSLB6G4JHgi02+ME8Ewtf81Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:50.737422Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.05908","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33f36acc863663316c82ae9e8553eea12674685215191189cd090ea52b2a040e","sha256:1d7ddf0ea42995f9b7637959c8f121cad81acd6232da3945092db299f292d8ac"],"state_sha256":"fa4c7a0260c74b862e2ecfd6bfdb75ec3929418770dd3b0ba22f58b4bab129ea"}