{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:VACBEE6XEZG3P5Z37JPIAXD3TB","short_pith_number":"pith:VACBEE6X","schema_version":"1.0","canonical_sha256":"a8041213d7264db7f73bfa5e805c7b9873f02d688d426e56428f2d1b0545216d","source":{"kind":"arxiv","id":"1902.08110","version":2},"attestation_state":"computed","paper":{"title":"Time-averaged height distribution of the Kardar-Parisi-Zhang interface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Arkady Vilenkin, Baruch Meerson, Naftali R. Smith","submitted_at":"2019-02-21T15:56:10Z","abstract_excerpt":"We study the complete probability distribution $\\mathcal{P}\\left(\\bar{H},t\\right)$ of the time-averaged height $\\bar{H}=(1/t)\\int_0^t h(x=0,t')\\,dt'$ at point $x=0$ of an evolving 1+1 dimensional Kardar-Parisi-Zhang (KPZ) interface $h\\left(x,t\\right)$. We focus on short times and flat initial condition and employ the optimal fluctuation method to determine the variance and the third cumulant of the distribution, as well as the asymmetric stretched-exponential tails. The tails scale as $-\\ln\\mathcal{P}\\sim\\left|\\bar{H}\\right|^{3/2} \\! /\\sqrt{t}$ and $-\\ln\\mathcal{P}\\sim\\left|\\bar{H}\\right|^{5/2"},"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":"1902.08110","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-02-21T15:56:10Z","cross_cats_sorted":[],"title_canon_sha256":"400390c1a89cc222f7b0a9729b1e5153aa309a1facccbf0cf9b05fd91ae674de","abstract_canon_sha256":"3853fbfcee4f58635d1259c557af8890455a3b468ee8782e13481930e8ae2d06"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:17.511207Z","signature_b64":"jd/HOH2uhk6QagISXhaEW5xR52I9Lbc02VAWJDRXfGbOpxByLf2C1+7UVjURz/Aqel1XP0kPLSJlfaJUEFOXDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8041213d7264db7f73bfa5e805c7b9873f02d688d426e56428f2d1b0545216d","last_reissued_at":"2026-05-17T23:41:17.510565Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:17.510565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Time-averaged height distribution of the Kardar-Parisi-Zhang interface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Arkady Vilenkin, Baruch Meerson, Naftali R. Smith","submitted_at":"2019-02-21T15:56:10Z","abstract_excerpt":"We study the complete probability distribution $\\mathcal{P}\\left(\\bar{H},t\\right)$ of the time-averaged height $\\bar{H}=(1/t)\\int_0^t h(x=0,t')\\,dt'$ at point $x=0$ of an evolving 1+1 dimensional Kardar-Parisi-Zhang (KPZ) interface $h\\left(x,t\\right)$. We focus on short times and flat initial condition and employ the optimal fluctuation method to determine the variance and the third cumulant of the distribution, as well as the asymmetric stretched-exponential tails. The tails scale as $-\\ln\\mathcal{P}\\sim\\left|\\bar{H}\\right|^{3/2} \\! /\\sqrt{t}$ and $-\\ln\\mathcal{P}\\sim\\left|\\bar{H}\\right|^{5/2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08110","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":"1902.08110","created_at":"2026-05-17T23:41:17.510685+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.08110v2","created_at":"2026-05-17T23:41:17.510685+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.08110","created_at":"2026-05-17T23:41:17.510685+00:00"},{"alias_kind":"pith_short_12","alias_value":"VACBEE6XEZG3","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"VACBEE6XEZG3P5Z3","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"VACBEE6X","created_at":"2026-05-18T12:33:30.264802+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/VACBEE6XEZG3P5Z37JPIAXD3TB","json":"https://pith.science/pith/VACBEE6XEZG3P5Z37JPIAXD3TB.json","graph_json":"https://pith.science/api/pith-number/VACBEE6XEZG3P5Z37JPIAXD3TB/graph.json","events_json":"https://pith.science/api/pith-number/VACBEE6XEZG3P5Z37JPIAXD3TB/events.json","paper":"https://pith.science/paper/VACBEE6X"},"agent_actions":{"view_html":"https://pith.science/pith/VACBEE6XEZG3P5Z37JPIAXD3TB","download_json":"https://pith.science/pith/VACBEE6XEZG3P5Z37JPIAXD3TB.json","view_paper":"https://pith.science/paper/VACBEE6X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.08110&json=true","fetch_graph":"https://pith.science/api/pith-number/VACBEE6XEZG3P5Z37JPIAXD3TB/graph.json","fetch_events":"https://pith.science/api/pith-number/VACBEE6XEZG3P5Z37JPIAXD3TB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VACBEE6XEZG3P5Z37JPIAXD3TB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VACBEE6XEZG3P5Z37JPIAXD3TB/action/storage_attestation","attest_author":"https://pith.science/pith/VACBEE6XEZG3P5Z37JPIAXD3TB/action/author_attestation","sign_citation":"https://pith.science/pith/VACBEE6XEZG3P5Z37JPIAXD3TB/action/citation_signature","submit_replication":"https://pith.science/pith/VACBEE6XEZG3P5Z37JPIAXD3TB/action/replication_record"}},"created_at":"2026-05-17T23:41:17.510685+00:00","updated_at":"2026-05-17T23:41:17.510685+00:00"}