{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZJUCCCJRDUA5YEZXB2YBXRFR6B","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":"42560eb9e43bb03c51b72ffc01c17217a5af3ca0fe8f7a90a076d379e5f14b84","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2017-01-03T11:06:40Z","title_canon_sha256":"238a153778b035bb9e16f5c05267068287409da6bea64efbed6826eda9592c44"},"schema_version":"1.0","source":{"id":"1701.00648","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.00648","created_at":"2026-05-18T00:51:41Z"},{"alias_kind":"arxiv_version","alias_value":"1701.00648v1","created_at":"2026-05-18T00:51:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.00648","created_at":"2026-05-18T00:51:41Z"},{"alias_kind":"pith_short_12","alias_value":"ZJUCCCJRDUA5","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZJUCCCJRDUA5YEZX","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZJUCCCJR","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:39df9a0fb0312e981aadf9872d73fc610e5f0cc42dfd45c8822ccae75aac84cb","target":"graph","created_at":"2026-05-18T00:51:41Z","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":"First-passage time problems are ubiquitous across many fields of study including transport processes in semiconductors and biological synapses, evolutionary game theory and percolation. Despite their prominence, first-passage time calculations have proven to be particularly challenging. Analytical results to date have often been obtained under strong conditions, leaving most of the exploration of first-passage time problems to direct numerical computations. Here we present an analytical approach that allows the derivation of first-passage time distributions for the wide class of non-differenti","authors_text":"R\\\"udiger Thul, Wilhelm Braun","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2017-01-03T11:06:40Z","title":"Sign-changes as a universal concept in first-passage time calculations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.00648","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:b4bb13da760c32bc4414d3b1bdc2535b2c3a35a89b9a0457f3cc4c11bb138bc6","target":"record","created_at":"2026-05-18T00:51:41Z","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":"42560eb9e43bb03c51b72ffc01c17217a5af3ca0fe8f7a90a076d379e5f14b84","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2017-01-03T11:06:40Z","title_canon_sha256":"238a153778b035bb9e16f5c05267068287409da6bea64efbed6826eda9592c44"},"schema_version":"1.0","source":{"id":"1701.00648","kind":"arxiv","version":1}},"canonical_sha256":"ca682109311d01dc13370eb01bc4b1f059af55b63488d45a1c6ddd5c8c66e354","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca682109311d01dc13370eb01bc4b1f059af55b63488d45a1c6ddd5c8c66e354","first_computed_at":"2026-05-18T00:51:41.226303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:41.226303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oKfj78Ep6TlZPRW/IFUJeRsfhDTxIPgnmkHd2B4KdNgyzyk56hBFaDbxGkiUyjS8AOMNOgHYN8FVGvDpjGxeBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:41.226705Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.00648","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4bb13da760c32bc4414d3b1bdc2535b2c3a35a89b9a0457f3cc4c11bb138bc6","sha256:39df9a0fb0312e981aadf9872d73fc610e5f0cc42dfd45c8822ccae75aac84cb"],"state_sha256":"615e3d61d1223167226098061e079adca9501bf430823f583b2ec226b91a415c"}