{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BUUYAL5HNTJ5TMQXOAWLKCK5MU","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":"f4186013f7f02782a3d1a524e8f32c7f832d6f76783976d0cec0220256b61b8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-30T11:48:26Z","title_canon_sha256":"97fd6858bbca6c39fba7d03cd176ce97ed5edcd084d5a767c77e2eacccb8eb93"},"schema_version":"1.0","source":{"id":"1701.08560","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08560","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08560v1","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08560","created_at":"2026-05-18T00:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"BUUYAL5HNTJ5","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BUUYAL5HNTJ5TMQX","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BUUYAL5H","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:8e65a78ccf6daba47d4af0e75419be4580ad35d33cf0b2c1afb71a027f8dc92c","target":"graph","created_at":"2026-05-18T00:23:14Z","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":"The paper is devoted to a reaction-diffusion equation with delay arising in modelling the immune response. We prove the existence of travelling waves in the bistable case using the Leray-Schauder method. In difference with the previous works, we do not assume here quasi-monotonicity of the delayed reaction term.","authors_text":"Sergei Trofimchuk, Vitaly Volpert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-30T11:48:26Z","title":"Travelling waves for a bistable reaction-diffusion equation with delay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08560","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:d77e2c0788b9943d3d292157b20de0e06a8fa9ba7e39b89d5cebd6d7aeb35bd1","target":"record","created_at":"2026-05-18T00:23:14Z","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":"f4186013f7f02782a3d1a524e8f32c7f832d6f76783976d0cec0220256b61b8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-30T11:48:26Z","title_canon_sha256":"97fd6858bbca6c39fba7d03cd176ce97ed5edcd084d5a767c77e2eacccb8eb93"},"schema_version":"1.0","source":{"id":"1701.08560","kind":"arxiv","version":1}},"canonical_sha256":"0d29802fa76cd3d9b217702cb5095d6517c95c86b8b9855313bd5f26acec5b19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d29802fa76cd3d9b217702cb5095d6517c95c86b8b9855313bd5f26acec5b19","first_computed_at":"2026-05-18T00:23:14.391437Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:14.391437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1B9UgNlIipaJjZyq9svsehrVZXcMhZ3wCPwjRtj+CkfY+8tGmIn4G8LBsGZDIBvRuL/t2r+m2icV4tQdU7czBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:14.392118Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.08560","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d77e2c0788b9943d3d292157b20de0e06a8fa9ba7e39b89d5cebd6d7aeb35bd1","sha256:8e65a78ccf6daba47d4af0e75419be4580ad35d33cf0b2c1afb71a027f8dc92c"],"state_sha256":"627ee0e8d98affdf0f1827991d445736c8b3f4c6fefc11e4e63d161eae69017c"}