{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3E6VBBSB2GCB6MAPOIZYMGGC35","short_pith_number":"pith:3E6VBBSB","canonical_record":{"source":{"id":"1104.1090","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2011-04-06T13:20:03Z","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.QM"],"title_canon_sha256":"0cebdd38c05747b9e906e45492d8bc9fe0640f18445992543ae8135b2fa3774b","abstract_canon_sha256":"f202eee5e2b851fec97a9f2d476d4cc36b15b1ddaa1440b1c85f78dd8ab02f6c"},"schema_version":"1.0"},"canonical_sha256":"d93d508641d1841f300f72338618c2df554acada543b4a287186bef5d95e70c2","source":{"kind":"arxiv","id":"1104.1090","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1090","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1090v1","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1090","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"pith_short_12","alias_value":"3E6VBBSB2GCB","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3E6VBBSB2GCB6MAP","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3E6VBBSB","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3E6VBBSB2GCB6MAPOIZYMGGC35","target":"record","payload":{"canonical_record":{"source":{"id":"1104.1090","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2011-04-06T13:20:03Z","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.QM"],"title_canon_sha256":"0cebdd38c05747b9e906e45492d8bc9fe0640f18445992543ae8135b2fa3774b","abstract_canon_sha256":"f202eee5e2b851fec97a9f2d476d4cc36b15b1ddaa1440b1c85f78dd8ab02f6c"},"schema_version":"1.0"},"canonical_sha256":"d93d508641d1841f300f72338618c2df554acada543b4a287186bef5d95e70c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:10.779139Z","signature_b64":"kHHNZDoXXN6qcDxXyhCjSvvAMP6mo84WZApvyDDt9hA0nP+ulxMiZVVl40PuawTs1Xqk/LXBKjD+VQ9ghLhhCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d93d508641d1841f300f72338618c2df554acada543b4a287186bef5d95e70c2","last_reissued_at":"2026-05-18T02:22:10.778517Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:10.778517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.1090","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fKlAYnRWno3zWppZiEXoVdlVFtgKHhS84P+K1TzvLJEnu0VUzzJoz0OBMSy4/buQznze0p36CdTUAZH0bGOwAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-19T18:52:25.850013Z"},"content_sha256":"bb1e3be64f3c92e5f28f859eeb3e2197814e6010277d4d7a4816159e3cce9c19","schema_version":"1.0","event_id":"sha256:bb1e3be64f3c92e5f28f859eeb3e2197814e6010277d4d7a4816159e3cce9c19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3E6VBBSB2GCB6MAPOIZYMGGC35","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Narrow Escape problem in a flat cylindrical microdomain with application to diffusion in the synaptic cleft","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.bio-ph","q-bio.QM"],"primary_cat":"q-bio.NC","authors_text":"David Holcman, Juergen Reingruber","submitted_at":"2011-04-06T13:20:03Z","abstract_excerpt":"The mean first passage time (MFPT) for a Brownian particle to reach a small target in cellular microdomains is a key parameter for chemical activation. Although asymptotic estimations of the MFPT are available for various geometries, these formula cannot be applied to degenerated structures where one dimension of is much smaller compared to the others. Here we study the narrow escape time (NET) problem for a Brownian particle to reach a small target located on the surface of a flat cylinder, where the cylinder height is comparable to the target size, and much smaller than the cylinder radius. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1090","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gn3+BxUWWNZhuwYM9WEuGMx/iY4OLdcSo4LIlCbrP7XbVD8TMziCF4neNHMQx8eGWAZh8Tocx1Gc/lU572GiBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-19T18:52:25.850361Z"},"content_sha256":"880938521c86df1a8976289b4032515b573267a077887c09014ba6c2b755a5d1","schema_version":"1.0","event_id":"sha256:880938521c86df1a8976289b4032515b573267a077887c09014ba6c2b755a5d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3E6VBBSB2GCB6MAPOIZYMGGC35/bundle.json","state_url":"https://pith.science/pith/3E6VBBSB2GCB6MAPOIZYMGGC35/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3E6VBBSB2GCB6MAPOIZYMGGC35/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-19T18:52:25Z","links":{"resolver":"https://pith.science/pith/3E6VBBSB2GCB6MAPOIZYMGGC35","bundle":"https://pith.science/pith/3E6VBBSB2GCB6MAPOIZYMGGC35/bundle.json","state":"https://pith.science/pith/3E6VBBSB2GCB6MAPOIZYMGGC35/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3E6VBBSB2GCB6MAPOIZYMGGC35/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3E6VBBSB2GCB6MAPOIZYMGGC35","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":"f202eee5e2b851fec97a9f2d476d4cc36b15b1ddaa1440b1c85f78dd8ab02f6c","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2011-04-06T13:20:03Z","title_canon_sha256":"0cebdd38c05747b9e906e45492d8bc9fe0640f18445992543ae8135b2fa3774b"},"schema_version":"1.0","source":{"id":"1104.1090","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1090","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1090v1","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1090","created_at":"2026-05-18T02:22:10Z"},{"alias_kind":"pith_short_12","alias_value":"3E6VBBSB2GCB","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3E6VBBSB2GCB6MAP","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3E6VBBSB","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:880938521c86df1a8976289b4032515b573267a077887c09014ba6c2b755a5d1","target":"graph","created_at":"2026-05-18T02:22:10Z","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 mean first passage time (MFPT) for a Brownian particle to reach a small target in cellular microdomains is a key parameter for chemical activation. Although asymptotic estimations of the MFPT are available for various geometries, these formula cannot be applied to degenerated structures where one dimension of is much smaller compared to the others. Here we study the narrow escape time (NET) problem for a Brownian particle to reach a small target located on the surface of a flat cylinder, where the cylinder height is comparable to the target size, and much smaller than the cylinder radius. ","authors_text":"David Holcman, Juergen Reingruber","cross_cats":["cond-mat.stat-mech","physics.bio-ph","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2011-04-06T13:20:03Z","title":"The Narrow Escape problem in a flat cylindrical microdomain with application to diffusion in the synaptic cleft"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1090","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:bb1e3be64f3c92e5f28f859eeb3e2197814e6010277d4d7a4816159e3cce9c19","target":"record","created_at":"2026-05-18T02:22:10Z","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":"f202eee5e2b851fec97a9f2d476d4cc36b15b1ddaa1440b1c85f78dd8ab02f6c","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2011-04-06T13:20:03Z","title_canon_sha256":"0cebdd38c05747b9e906e45492d8bc9fe0640f18445992543ae8135b2fa3774b"},"schema_version":"1.0","source":{"id":"1104.1090","kind":"arxiv","version":1}},"canonical_sha256":"d93d508641d1841f300f72338618c2df554acada543b4a287186bef5d95e70c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d93d508641d1841f300f72338618c2df554acada543b4a287186bef5d95e70c2","first_computed_at":"2026-05-18T02:22:10.778517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:10.778517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kHHNZDoXXN6qcDxXyhCjSvvAMP6mo84WZApvyDDt9hA0nP+ulxMiZVVl40PuawTs1Xqk/LXBKjD+VQ9ghLhhCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:10.779139Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1090","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb1e3be64f3c92e5f28f859eeb3e2197814e6010277d4d7a4816159e3cce9c19","sha256:880938521c86df1a8976289b4032515b573267a077887c09014ba6c2b755a5d1"],"state_sha256":"b1773d21208be258f2b479ecf8746e44d9c8c7529bb3f930713da6ceeb9de766"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qG41Oym2x2sam9yDoiTY9+zR3z0pePqSciEcAEIBsqruGntWjYVZGU0lizJXOsIWrMtAGM1EMNuKGtpWEB1RAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-19T18:52:25.852746Z","bundle_sha256":"4cb49c20a8c65858b2f6093a8239010c30d054a9760f4f8333a148bf5212903c"}}