{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZLHJI625NI4UODYK2S77YFESA7","short_pith_number":"pith:ZLHJI625","canonical_record":{"source":{"id":"1703.03310","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-09T15:52:47Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8dc388edaf943118833849dd8e6702b53903f22c7604825f8cdbbb44be77c8ff","abstract_canon_sha256":"52bab4261df7fa53e7c7f911741fee8ccb13a342c3f3774641366a2cac948191"},"schema_version":"1.0"},"canonical_sha256":"cace947b5d6a39470f0ad4bffc149207fb2c709316ae72e98aa1f071abc6f7e8","source":{"kind":"arxiv","id":"1703.03310","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03310","created_at":"2026-05-18T00:42:34Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03310v1","created_at":"2026-05-18T00:42:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03310","created_at":"2026-05-18T00:42:34Z"},{"alias_kind":"pith_short_12","alias_value":"ZLHJI625NI4U","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZLHJI625NI4UODYK","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZLHJI625","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZLHJI625NI4UODYK2S77YFESA7","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03310","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-09T15:52:47Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8dc388edaf943118833849dd8e6702b53903f22c7604825f8cdbbb44be77c8ff","abstract_canon_sha256":"52bab4261df7fa53e7c7f911741fee8ccb13a342c3f3774641366a2cac948191"},"schema_version":"1.0"},"canonical_sha256":"cace947b5d6a39470f0ad4bffc149207fb2c709316ae72e98aa1f071abc6f7e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:34.829075Z","signature_b64":"8E3mQlD+WjTQg2rbjTq7b4hzd0+l3Z64b5JQYo2YB9iKC0d8OFl2COQ1K6T/Cv4a5i4jDOa76QFGEi6nU5SPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cace947b5d6a39470f0ad4bffc149207fb2c709316ae72e98aa1f071abc6f7e8","last_reissued_at":"2026-05-18T00:42:34.828415Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:34.828415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03310","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":"2026-05-18T00:42:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o4uB5sfrSoTHSXa7RhQBXHrY1rw7fopuY2Tov7yN7Y4gQ7pakeKjRXaAQIVxTODVm+QEF/USKdhRCeayGWFhBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:34:46.891990Z"},"content_sha256":"f8aacd2bdba8090c0c22231c74d30ee2e008599e51ad737394afb5779a2e9c19","schema_version":"1.0","event_id":"sha256:f8aacd2bdba8090c0c22231c74d30ee2e008599e51ad737394afb5779a2e9c19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZLHJI625NI4UODYK2S77YFESA7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large deviations of surface height in the $1+1$-dimensional Kardar-Parisi-Zhang equation: exact long-time results for $\\lambda H<0$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Baruch Meerson, Pavel Sasorov, Sylvain Prolhac","submitted_at":"2017-03-09T15:52:47Z","abstract_excerpt":"We study atypically large fluctuations of height $H$ in the 1+1-dimensional Kardar-Parisi-Zhang (KPZ) equation at long times $t$, when starting from a \"droplet\" initial condition. We derive exact large deviation function of height for $\\lambda H<0$, where $\\lambda$ is the nonlinearity coefficient of the KPZ equation. This large deviation function describes a crossover from the Tracy-Widom distribution tail at small $|H|/t$, which scales as $|H|^3/t$, to a different tail at large $|H|/t$, which scales as $|H|^{5/2}/t^{1/2}$. The latter tail exists at all times $t>0$. It was previously obtained "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03310","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":"2026-05-18T00:42:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rn121iEsdQUKs3K79kK6V+0snHXZVllHHClW7AXwVm8k4ksk2pRNKNeti1y+KAvSKZeEXgzFXOngTgovpN/KAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:34:46.892512Z"},"content_sha256":"e072c16064e8e577082a2dd3209f23f442159aad3c0c30b0ab8dee8b20cbdb50","schema_version":"1.0","event_id":"sha256:e072c16064e8e577082a2dd3209f23f442159aad3c0c30b0ab8dee8b20cbdb50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZLHJI625NI4UODYK2S77YFESA7/bundle.json","state_url":"https://pith.science/pith/ZLHJI625NI4UODYK2S77YFESA7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZLHJI625NI4UODYK2S77YFESA7/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":"2026-06-23T16:34:46Z","links":{"resolver":"https://pith.science/pith/ZLHJI625NI4UODYK2S77YFESA7","bundle":"https://pith.science/pith/ZLHJI625NI4UODYK2S77YFESA7/bundle.json","state":"https://pith.science/pith/ZLHJI625NI4UODYK2S77YFESA7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZLHJI625NI4UODYK2S77YFESA7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZLHJI625NI4UODYK2S77YFESA7","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":"52bab4261df7fa53e7c7f911741fee8ccb13a342c3f3774641366a2cac948191","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-09T15:52:47Z","title_canon_sha256":"8dc388edaf943118833849dd8e6702b53903f22c7604825f8cdbbb44be77c8ff"},"schema_version":"1.0","source":{"id":"1703.03310","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03310","created_at":"2026-05-18T00:42:34Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03310v1","created_at":"2026-05-18T00:42:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03310","created_at":"2026-05-18T00:42:34Z"},{"alias_kind":"pith_short_12","alias_value":"ZLHJI625NI4U","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZLHJI625NI4UODYK","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZLHJI625","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:e072c16064e8e577082a2dd3209f23f442159aad3c0c30b0ab8dee8b20cbdb50","target":"graph","created_at":"2026-05-18T00:42:34Z","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":"We study atypically large fluctuations of height $H$ in the 1+1-dimensional Kardar-Parisi-Zhang (KPZ) equation at long times $t$, when starting from a \"droplet\" initial condition. We derive exact large deviation function of height for $\\lambda H<0$, where $\\lambda$ is the nonlinearity coefficient of the KPZ equation. This large deviation function describes a crossover from the Tracy-Widom distribution tail at small $|H|/t$, which scales as $|H|^3/t$, to a different tail at large $|H|/t$, which scales as $|H|^{5/2}/t^{1/2}$. The latter tail exists at all times $t>0$. It was previously obtained ","authors_text":"Baruch Meerson, Pavel Sasorov, Sylvain Prolhac","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-09T15:52:47Z","title":"Large deviations of surface height in the $1+1$-dimensional Kardar-Parisi-Zhang equation: exact long-time results for $\\lambda H<0$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03310","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:f8aacd2bdba8090c0c22231c74d30ee2e008599e51ad737394afb5779a2e9c19","target":"record","created_at":"2026-05-18T00:42:34Z","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":"52bab4261df7fa53e7c7f911741fee8ccb13a342c3f3774641366a2cac948191","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-09T15:52:47Z","title_canon_sha256":"8dc388edaf943118833849dd8e6702b53903f22c7604825f8cdbbb44be77c8ff"},"schema_version":"1.0","source":{"id":"1703.03310","kind":"arxiv","version":1}},"canonical_sha256":"cace947b5d6a39470f0ad4bffc149207fb2c709316ae72e98aa1f071abc6f7e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cace947b5d6a39470f0ad4bffc149207fb2c709316ae72e98aa1f071abc6f7e8","first_computed_at":"2026-05-18T00:42:34.828415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:34.828415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8E3mQlD+WjTQg2rbjTq7b4hzd0+l3Z64b5JQYo2YB9iKC0d8OFl2COQ1K6T/Cv4a5i4jDOa76QFGEi6nU5SPBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:34.829075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03310","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8aacd2bdba8090c0c22231c74d30ee2e008599e51ad737394afb5779a2e9c19","sha256:e072c16064e8e577082a2dd3209f23f442159aad3c0c30b0ab8dee8b20cbdb50"],"state_sha256":"4e885d371814d275a7ef6c3049c89e54af84770d8ea93f1e2747902d92dd63e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3IU0qIMc44CLINFvvkW3MpNZ+kN0bC6P6SSYj4/aizZCbtCVHp02QC3BV+jxLKs4v4QBN+FQ/eVqCQqpxkC2AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:34:46.895309Z","bundle_sha256":"5f317abbe8779afb01b478baabe02e7cd22f2b5f2e801619bad142a48b976fed"}}