{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:KUVFCMTWNKR2SL7UXUXRSZVV2M","short_pith_number":"pith:KUVFCMTW","schema_version":"1.0","canonical_sha256":"552a5132766aa3a92ff4bd2f1966b5d316718af096ea10d17063462b2ab4778c","source":{"kind":"arxiv","id":"1507.04460","version":2},"attestation_state":"computed","paper":{"title":"Survival of interacting diffusing particles inside a domain with absorbing boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Arkady Vilenkin, Baruch Meerson, Tal Agranov","submitted_at":"2015-07-16T06:31:16Z","abstract_excerpt":"Suppose that a $d$-dimensional domain is filled with a gas of (in general, interacting) diffusive particles with density $n_0$. A particle is absorbed whenever it reaches the domain boundary. Employing macroscopic fluctuation theory, we evaluate the probability ${\\mathcal P}$ that no particles are absorbed during a long time $T$. We argue that the most likely gas density profile, conditional on this event, is stationary throughout most of the time $T$. As a result, ${\\mathcal P}$ decays exponentially with $T$ for a whole class of interacting diffusive gases in any dimension. For $d=1$ the stat"},"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":"1507.04460","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-07-16T06:31:16Z","cross_cats_sorted":[],"title_canon_sha256":"b21f3b01d906dc1e5906859e52b082b9e8df7b08da0c8d07a81722c67a462a2f","abstract_canon_sha256":"e76865c0a4b6b8de3211f4fbb6680d6ca5f3deeab0aebe444b5abacb61280ec5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:55.060748Z","signature_b64":"G7C8Y+WM9qoeLUZ3dQMhewkQdBtpmPRLGsinVDhdoedG8R1yYRoqAKdP8mAZlhn1Hu+x+tXH/zsH2Csh2OEdDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"552a5132766aa3a92ff4bd2f1966b5d316718af096ea10d17063462b2ab4778c","last_reissued_at":"2026-05-18T01:21:55.060109Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:55.060109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Survival of interacting diffusing particles inside a domain with absorbing boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Arkady Vilenkin, Baruch Meerson, Tal Agranov","submitted_at":"2015-07-16T06:31:16Z","abstract_excerpt":"Suppose that a $d$-dimensional domain is filled with a gas of (in general, interacting) diffusive particles with density $n_0$. A particle is absorbed whenever it reaches the domain boundary. Employing macroscopic fluctuation theory, we evaluate the probability ${\\mathcal P}$ that no particles are absorbed during a long time $T$. We argue that the most likely gas density profile, conditional on this event, is stationary throughout most of the time $T$. As a result, ${\\mathcal P}$ decays exponentially with $T$ for a whole class of interacting diffusive gases in any dimension. For $d=1$ the stat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04460","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":"1507.04460","created_at":"2026-05-18T01:21:55.060192+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.04460v2","created_at":"2026-05-18T01:21:55.060192+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04460","created_at":"2026-05-18T01:21:55.060192+00:00"},{"alias_kind":"pith_short_12","alias_value":"KUVFCMTWNKR2","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"KUVFCMTWNKR2SL7U","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"KUVFCMTW","created_at":"2026-05-18T12:29:29.992203+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/KUVFCMTWNKR2SL7UXUXRSZVV2M","json":"https://pith.science/pith/KUVFCMTWNKR2SL7UXUXRSZVV2M.json","graph_json":"https://pith.science/api/pith-number/KUVFCMTWNKR2SL7UXUXRSZVV2M/graph.json","events_json":"https://pith.science/api/pith-number/KUVFCMTWNKR2SL7UXUXRSZVV2M/events.json","paper":"https://pith.science/paper/KUVFCMTW"},"agent_actions":{"view_html":"https://pith.science/pith/KUVFCMTWNKR2SL7UXUXRSZVV2M","download_json":"https://pith.science/pith/KUVFCMTWNKR2SL7UXUXRSZVV2M.json","view_paper":"https://pith.science/paper/KUVFCMTW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.04460&json=true","fetch_graph":"https://pith.science/api/pith-number/KUVFCMTWNKR2SL7UXUXRSZVV2M/graph.json","fetch_events":"https://pith.science/api/pith-number/KUVFCMTWNKR2SL7UXUXRSZVV2M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KUVFCMTWNKR2SL7UXUXRSZVV2M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KUVFCMTWNKR2SL7UXUXRSZVV2M/action/storage_attestation","attest_author":"https://pith.science/pith/KUVFCMTWNKR2SL7UXUXRSZVV2M/action/author_attestation","sign_citation":"https://pith.science/pith/KUVFCMTWNKR2SL7UXUXRSZVV2M/action/citation_signature","submit_replication":"https://pith.science/pith/KUVFCMTWNKR2SL7UXUXRSZVV2M/action/replication_record"}},"created_at":"2026-05-18T01:21:55.060192+00:00","updated_at":"2026-05-18T01:21:55.060192+00:00"}