{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:L57OI3ZL3BS35KMLLS5EHKW4HC","short_pith_number":"pith:L57OI3ZL","schema_version":"1.0","canonical_sha256":"5f7ee46f2bd865bea98b5cba43aadc38812a9ff4a5638681d339373dc9ae0c96","source":{"kind":"arxiv","id":"1604.04903","version":1},"attestation_state":"computed","paper":{"title":"Path integral approach to theories of diffusion-influenced reactions","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"q-bio.QM","authors_text":"Martin Meier-Schellersheim, Thorsten Pr\\\"ustel","submitted_at":"2016-04-17T18:05:02Z","abstract_excerpt":"The path decomposition expansion represents the propagator of the irreversible reaction as a convolution of the first-passage, last-passage and rebinding time probability densities. Using path integral technique, we give an elementary, yet rigorous, proof of the path decomposition expansion of the Green's functions describing the non-reactive case and the irreversible reaction of an isolated pair of molecules. To this end, we exploit the connection between boundary value problems and interaction potential problems with $\\delta$- and $\\delta'$-function perturbation. In particular, we employ a k"},"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":"1604.04903","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"q-bio.QM","submitted_at":"2016-04-17T18:05:02Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"971d40b95fcc8013f68187bdc3690e8bdc6c8dfddbcc23ef991eab8c41ce4afe","abstract_canon_sha256":"4acfa96d23c06c409d426126ddb2c97e6098ab5f3481d64064c87d6593cc111e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:35.809417Z","signature_b64":"nwa+u1uJmKIC8VEiKxcF+bcQ2SEDg/Px+gd9y5dqF3ybm87a0+ERtzwVkiMXyjUee97LScV4QSgZz6Gg0C8ZCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f7ee46f2bd865bea98b5cba43aadc38812a9ff4a5638681d339373dc9ae0c96","last_reissued_at":"2026-05-18T00:35:35.808987Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:35.808987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Path integral approach to theories of diffusion-influenced reactions","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"q-bio.QM","authors_text":"Martin Meier-Schellersheim, Thorsten Pr\\\"ustel","submitted_at":"2016-04-17T18:05:02Z","abstract_excerpt":"The path decomposition expansion represents the propagator of the irreversible reaction as a convolution of the first-passage, last-passage and rebinding time probability densities. Using path integral technique, we give an elementary, yet rigorous, proof of the path decomposition expansion of the Green's functions describing the non-reactive case and the irreversible reaction of an isolated pair of molecules. To this end, we exploit the connection between boundary value problems and interaction potential problems with $\\delta$- and $\\delta'$-function perturbation. In particular, we employ a k"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04903","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":"1604.04903","created_at":"2026-05-18T00:35:35.809055+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.04903v1","created_at":"2026-05-18T00:35:35.809055+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04903","created_at":"2026-05-18T00:35:35.809055+00:00"},{"alias_kind":"pith_short_12","alias_value":"L57OI3ZL3BS3","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_16","alias_value":"L57OI3ZL3BS35KML","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_8","alias_value":"L57OI3ZL","created_at":"2026-05-18T12:30:29.479603+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/L57OI3ZL3BS35KMLLS5EHKW4HC","json":"https://pith.science/pith/L57OI3ZL3BS35KMLLS5EHKW4HC.json","graph_json":"https://pith.science/api/pith-number/L57OI3ZL3BS35KMLLS5EHKW4HC/graph.json","events_json":"https://pith.science/api/pith-number/L57OI3ZL3BS35KMLLS5EHKW4HC/events.json","paper":"https://pith.science/paper/L57OI3ZL"},"agent_actions":{"view_html":"https://pith.science/pith/L57OI3ZL3BS35KMLLS5EHKW4HC","download_json":"https://pith.science/pith/L57OI3ZL3BS35KMLLS5EHKW4HC.json","view_paper":"https://pith.science/paper/L57OI3ZL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.04903&json=true","fetch_graph":"https://pith.science/api/pith-number/L57OI3ZL3BS35KMLLS5EHKW4HC/graph.json","fetch_events":"https://pith.science/api/pith-number/L57OI3ZL3BS35KMLLS5EHKW4HC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L57OI3ZL3BS35KMLLS5EHKW4HC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L57OI3ZL3BS35KMLLS5EHKW4HC/action/storage_attestation","attest_author":"https://pith.science/pith/L57OI3ZL3BS35KMLLS5EHKW4HC/action/author_attestation","sign_citation":"https://pith.science/pith/L57OI3ZL3BS35KMLLS5EHKW4HC/action/citation_signature","submit_replication":"https://pith.science/pith/L57OI3ZL3BS35KMLLS5EHKW4HC/action/replication_record"}},"created_at":"2026-05-18T00:35:35.809055+00:00","updated_at":"2026-05-18T00:35:35.809055+00:00"}