{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:FHU2DB47RMFCSL3HK642WD4XUC","short_pith_number":"pith:FHU2DB47","schema_version":"1.0","canonical_sha256":"29e9a1879f8b0a292f6757b9ab0f97a0850930577622100a177e734dd7e224d6","source":{"kind":"arxiv","id":"1805.10977","version":1},"attestation_state":"computed","paper":{"title":"Bichromatic travelling waves for lattice Nagumo equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.AP","authors_text":"Hermen Jan Hupkes, Leonardo Morelli, Petr Stehl\\'ik","submitted_at":"2018-05-28T15:34:22Z","abstract_excerpt":"We discuss bichromatic (two-color) front solutions to the bistable Nagumo lattice differential equation. Such fronts connect the stable spatially homogeneous equilibria with spatially heterogeneous 2-periodic equilibria and hence are not monotonic like the standard monochromatic fronts. We provide explicit criteria that can determine whether or not these fronts are stationary and show that the bichromatic fronts can travel in parameter regimes where the monochromatic fronts are pinned. The presence of these bichromatic waves allows the two stable homogeneous equlibria to both spread out throug"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1805.10977","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-28T15:34:22Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"b9ce41199c1788e3f3aeea551e9b0ebc28b8eacc9d101a020936d2819a0851be","abstract_canon_sha256":"61492677cff12ecec1d33c4b24eb5cfcfaba1570358be13d8d168c22e07af6f6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:48.651099Z","signature_b64":"7HzNmKXlezppWnaF1IynkLZaqoqcB1SkGJ/sF8NRVVAZId/K4hGAho3kVgspwXVKc6wUv7SCAgOlFabOeHVABw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29e9a1879f8b0a292f6757b9ab0f97a0850930577622100a177e734dd7e224d6","last_reissued_at":"2026-05-18T00:14:48.650461Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:48.650461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bichromatic travelling waves for lattice Nagumo equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.AP","authors_text":"Hermen Jan Hupkes, Leonardo Morelli, Petr Stehl\\'ik","submitted_at":"2018-05-28T15:34:22Z","abstract_excerpt":"We discuss bichromatic (two-color) front solutions to the bistable Nagumo lattice differential equation. Such fronts connect the stable spatially homogeneous equilibria with spatially heterogeneous 2-periodic equilibria and hence are not monotonic like the standard monochromatic fronts. We provide explicit criteria that can determine whether or not these fronts are stationary and show that the bichromatic fronts can travel in parameter regimes where the monochromatic fronts are pinned. The presence of these bichromatic waves allows the two stable homogeneous equlibria to both spread out throug"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10977","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1805.10977","created_at":"2026-05-18T00:14:48.650560+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.10977v1","created_at":"2026-05-18T00:14:48.650560+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10977","created_at":"2026-05-18T00:14:48.650560+00:00"},{"alias_kind":"pith_short_12","alias_value":"FHU2DB47RMFC","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_16","alias_value":"FHU2DB47RMFCSL3H","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_8","alias_value":"FHU2DB47","created_at":"2026-05-18T12:32:22.470017+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FHU2DB47RMFCSL3HK642WD4XUC","json":"https://pith.science/pith/FHU2DB47RMFCSL3HK642WD4XUC.json","graph_json":"https://pith.science/api/pith-number/FHU2DB47RMFCSL3HK642WD4XUC/graph.json","events_json":"https://pith.science/api/pith-number/FHU2DB47RMFCSL3HK642WD4XUC/events.json","paper":"https://pith.science/paper/FHU2DB47"},"agent_actions":{"view_html":"https://pith.science/pith/FHU2DB47RMFCSL3HK642WD4XUC","download_json":"https://pith.science/pith/FHU2DB47RMFCSL3HK642WD4XUC.json","view_paper":"https://pith.science/paper/FHU2DB47","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.10977&json=true","fetch_graph":"https://pith.science/api/pith-number/FHU2DB47RMFCSL3HK642WD4XUC/graph.json","fetch_events":"https://pith.science/api/pith-number/FHU2DB47RMFCSL3HK642WD4XUC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FHU2DB47RMFCSL3HK642WD4XUC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FHU2DB47RMFCSL3HK642WD4XUC/action/storage_attestation","attest_author":"https://pith.science/pith/FHU2DB47RMFCSL3HK642WD4XUC/action/author_attestation","sign_citation":"https://pith.science/pith/FHU2DB47RMFCSL3HK642WD4XUC/action/citation_signature","submit_replication":"https://pith.science/pith/FHU2DB47RMFCSL3HK642WD4XUC/action/replication_record"}},"created_at":"2026-05-18T00:14:48.650560+00:00","updated_at":"2026-05-18T00:14:48.650560+00:00"}