{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:MMCTDNSAB4LYTHND6NCAR4JWBC","short_pith_number":"pith:MMCTDNSA","schema_version":"1.0","canonical_sha256":"630531b6400f17899da3f34408f1360888783c211d370d68bd9012a8ee02321a","source":{"kind":"arxiv","id":"0911.5179","version":3},"attestation_state":"computed","paper":{"title":"Traveling waves and homogeneous fragmentation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.PR","authors_text":"A. E. Kyprianou, J. Berestycki, S. C. Harris","submitted_at":"2009-11-27T00:33:28Z","abstract_excerpt":"We formulate the notion of the classical Fisher-Kolmogorov-Petrovskii-Piscounov (FKPP) reaction diffusion equation associated with a homogeneous conservative fragmentation process and study its traveling waves. Specifically, we establish existence, uniqueness and asymptotics. In the spirit of classical works such as McKean [Comm. Pure Appl. Math. 28 (1975) 323-331] and [Comm. Pure Appl. Math. 29 (1976) 553-554], Neveu [In Seminar on Stochastic Processes (1988) 223-242 Birkh\\\"{a}user] and Chauvin [Ann. Probab. 19 (1991) 1195-1205], our analysis exposes the relation between traveling waves and c"},"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":"0911.5179","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-11-27T00:33:28Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"8cadfa730f8cd48066e7b18ca12322dd0dde07514d36cfc26fe902a27afaf830","abstract_canon_sha256":"5db238c6a5264b0308555ae4fb35c2e0bc4d2e149da438742d7f000463a684fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:46.112564Z","signature_b64":"ff7o+Oo2OdACM8RWfhSzrUeGqbh3A2esshHr0+2k06mVBL7GNQvn2AQ/dsRssI3S0QXlBFKGUcNCrDVD9n+DDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"630531b6400f17899da3f34408f1360888783c211d370d68bd9012a8ee02321a","last_reissued_at":"2026-05-18T04:05:46.112134Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:46.112134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Traveling waves and homogeneous fragmentation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.PR","authors_text":"A. E. Kyprianou, J. Berestycki, S. C. Harris","submitted_at":"2009-11-27T00:33:28Z","abstract_excerpt":"We formulate the notion of the classical Fisher-Kolmogorov-Petrovskii-Piscounov (FKPP) reaction diffusion equation associated with a homogeneous conservative fragmentation process and study its traveling waves. Specifically, we establish existence, uniqueness and asymptotics. In the spirit of classical works such as McKean [Comm. Pure Appl. Math. 28 (1975) 323-331] and [Comm. Pure Appl. Math. 29 (1976) 553-554], Neveu [In Seminar on Stochastic Processes (1988) 223-242 Birkh\\\"{a}user] and Chauvin [Ann. Probab. 19 (1991) 1195-1205], our analysis exposes the relation between traveling waves and c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5179","kind":"arxiv","version":3},"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":"0911.5179","created_at":"2026-05-18T04:05:46.112202+00:00"},{"alias_kind":"arxiv_version","alias_value":"0911.5179v3","created_at":"2026-05-18T04:05:46.112202+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5179","created_at":"2026-05-18T04:05:46.112202+00:00"},{"alias_kind":"pith_short_12","alias_value":"MMCTDNSAB4LY","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_16","alias_value":"MMCTDNSAB4LYTHND","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_8","alias_value":"MMCTDNSA","created_at":"2026-05-18T12:26:00.592388+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/MMCTDNSAB4LYTHND6NCAR4JWBC","json":"https://pith.science/pith/MMCTDNSAB4LYTHND6NCAR4JWBC.json","graph_json":"https://pith.science/api/pith-number/MMCTDNSAB4LYTHND6NCAR4JWBC/graph.json","events_json":"https://pith.science/api/pith-number/MMCTDNSAB4LYTHND6NCAR4JWBC/events.json","paper":"https://pith.science/paper/MMCTDNSA"},"agent_actions":{"view_html":"https://pith.science/pith/MMCTDNSAB4LYTHND6NCAR4JWBC","download_json":"https://pith.science/pith/MMCTDNSAB4LYTHND6NCAR4JWBC.json","view_paper":"https://pith.science/paper/MMCTDNSA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0911.5179&json=true","fetch_graph":"https://pith.science/api/pith-number/MMCTDNSAB4LYTHND6NCAR4JWBC/graph.json","fetch_events":"https://pith.science/api/pith-number/MMCTDNSAB4LYTHND6NCAR4JWBC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MMCTDNSAB4LYTHND6NCAR4JWBC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MMCTDNSAB4LYTHND6NCAR4JWBC/action/storage_attestation","attest_author":"https://pith.science/pith/MMCTDNSAB4LYTHND6NCAR4JWBC/action/author_attestation","sign_citation":"https://pith.science/pith/MMCTDNSAB4LYTHND6NCAR4JWBC/action/citation_signature","submit_replication":"https://pith.science/pith/MMCTDNSAB4LYTHND6NCAR4JWBC/action/replication_record"}},"created_at":"2026-05-18T04:05:46.112202+00:00","updated_at":"2026-05-18T04:05:46.112202+00:00"}