{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:2ARNZZC3DOCWNE57AFADGEEOXF","short_pith_number":"pith:2ARNZZC3","schema_version":"1.0","canonical_sha256":"d022dce45b1b856693bf014033108eb9660f97755c45f64fde244320db3e301c","source":{"kind":"arxiv","id":"0807.4812","version":2},"attestation_state":"computed","paper":{"title":"Population extinction in a time-modulated environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alex Kamenev, Baruch Meerson, Michael Assaf","submitted_at":"2008-07-30T08:48:34Z","abstract_excerpt":"The extinction time of an isolated population can be exponentially reduced by a periodic modulation of its environment. We investigate this effect using, as an example, a stochastic branching-annihilation process with a time-dependent branching rate. The population extinction is treated in eikonal approximation, where it is described as an instanton trajectory of a proper reaction Hamiltonian. The modulation of the environment perturbs this trajectory and synchronizes it with the modulation phase. We calculate the corresponding change in the action along the instanton using perturbation techni"},"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":"0807.4812","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-07-30T08:48:34Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"b25cf302e08d638260299f974e55a8d015c2da0e9bd1c11e93dc867db8a9a11a","abstract_canon_sha256":"e3620ff69430d92f66ca03af6e053118993fd53cad17d841e1270f191f8ccb86"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:49.943532Z","signature_b64":"Amf1wEj3/oxI1CtJAj7IiT4cRKqvExWhJ0FrCRU1dKbodQ8LV0lmPWVgCYuUKGjUjr1NGd5T/yiACBOxXgwJBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d022dce45b1b856693bf014033108eb9660f97755c45f64fde244320db3e301c","last_reissued_at":"2026-05-18T02:45:49.943076Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:49.943076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Population extinction in a time-modulated environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alex Kamenev, Baruch Meerson, Michael Assaf","submitted_at":"2008-07-30T08:48:34Z","abstract_excerpt":"The extinction time of an isolated population can be exponentially reduced by a periodic modulation of its environment. We investigate this effect using, as an example, a stochastic branching-annihilation process with a time-dependent branching rate. The population extinction is treated in eikonal approximation, where it is described as an instanton trajectory of a proper reaction Hamiltonian. The modulation of the environment perturbs this trajectory and synchronizes it with the modulation phase. We calculate the corresponding change in the action along the instanton using perturbation techni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.4812","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":""},"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":"0807.4812","created_at":"2026-05-18T02:45:49.943148+00:00"},{"alias_kind":"arxiv_version","alias_value":"0807.4812v2","created_at":"2026-05-18T02:45:49.943148+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.4812","created_at":"2026-05-18T02:45:49.943148+00:00"},{"alias_kind":"pith_short_12","alias_value":"2ARNZZC3DOCW","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"2ARNZZC3DOCWNE57","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"2ARNZZC3","created_at":"2026-05-18T12:25:56.245647+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/2ARNZZC3DOCWNE57AFADGEEOXF","json":"https://pith.science/pith/2ARNZZC3DOCWNE57AFADGEEOXF.json","graph_json":"https://pith.science/api/pith-number/2ARNZZC3DOCWNE57AFADGEEOXF/graph.json","events_json":"https://pith.science/api/pith-number/2ARNZZC3DOCWNE57AFADGEEOXF/events.json","paper":"https://pith.science/paper/2ARNZZC3"},"agent_actions":{"view_html":"https://pith.science/pith/2ARNZZC3DOCWNE57AFADGEEOXF","download_json":"https://pith.science/pith/2ARNZZC3DOCWNE57AFADGEEOXF.json","view_paper":"https://pith.science/paper/2ARNZZC3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0807.4812&json=true","fetch_graph":"https://pith.science/api/pith-number/2ARNZZC3DOCWNE57AFADGEEOXF/graph.json","fetch_events":"https://pith.science/api/pith-number/2ARNZZC3DOCWNE57AFADGEEOXF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2ARNZZC3DOCWNE57AFADGEEOXF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2ARNZZC3DOCWNE57AFADGEEOXF/action/storage_attestation","attest_author":"https://pith.science/pith/2ARNZZC3DOCWNE57AFADGEEOXF/action/author_attestation","sign_citation":"https://pith.science/pith/2ARNZZC3DOCWNE57AFADGEEOXF/action/citation_signature","submit_replication":"https://pith.science/pith/2ARNZZC3DOCWNE57AFADGEEOXF/action/replication_record"}},"created_at":"2026-05-18T02:45:49.943148+00:00","updated_at":"2026-05-18T02:45:49.943148+00:00"}