{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KYIG3I74RHNC3DUJIFJNW24PU5","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":"9f68011b77c36ffc39af5eccd724203f9ff59e639ab2888db14000b9ec14e641","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-15T00:06:30Z","title_canon_sha256":"423a570c5287826aeb9e03eab793f1bca3bd38b0e9eaa333fe89ce93be57511c"},"schema_version":"1.0","source":{"id":"1810.06131","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.06131","created_at":"2026-05-18T00:03:21Z"},{"alias_kind":"arxiv_version","alias_value":"1810.06131v1","created_at":"2026-05-18T00:03:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06131","created_at":"2026-05-18T00:03:21Z"},{"alias_kind":"pith_short_12","alias_value":"KYIG3I74RHNC","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KYIG3I74RHNC3DUJ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KYIG3I74","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:fa212fac80f871074d7a35b6c4fad67c4934c1262404beaf06cbe190ac9dd3b7","target":"graph","created_at":"2026-05-18T00:03:21Z","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":"For the two-sided Bernoulli initial condition with density $\\rho_-$ (resp. $\\rho_+$) to the left (resp. to the right), we study the distribution of a tagged particle in the one dimensional symmetric simple exclusion process. We obtain a formula for the moment generating function of the associated current in terms of a Fredholm determinant. Our arguments are based on a combination of techniques from integrable probability which have been developed recently for studying the asymmetric exclusion process and a subsequent intricate symmetric limit. An expression for the large deviation function of ","authors_text":"Kirone Mallick, Takashi Imamura, Tomohiro Sasamoto","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-15T00:06:30Z","title":"Distribution of a tagged particle position in the one-dimensional symmetric simple exclusion process with two-sided Bernoulli initial condition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06131","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":"sha256:696b66c6a08636d86ba5125e81a6735ad596b77e375fbd7f41ff79354cbcb3e4","target":"record","created_at":"2026-05-18T00:03:21Z","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":"9f68011b77c36ffc39af5eccd724203f9ff59e639ab2888db14000b9ec14e641","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-10-15T00:06:30Z","title_canon_sha256":"423a570c5287826aeb9e03eab793f1bca3bd38b0e9eaa333fe89ce93be57511c"},"schema_version":"1.0","source":{"id":"1810.06131","kind":"arxiv","version":1}},"canonical_sha256":"56106da3fc89da2d8e894152db6b8fa75529978d128ba035ee5fffbae890046e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56106da3fc89da2d8e894152db6b8fa75529978d128ba035ee5fffbae890046e","first_computed_at":"2026-05-18T00:03:21.327377Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:21.327377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iJSA8sA2kgxg91RzHdM1ltGbH1PfACkHJz7t8/8ooE41UkLfFEqVNdgWek2ZYx9NU+Ctqa6CIDnsrCaqNhn9Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:21.327854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.06131","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:696b66c6a08636d86ba5125e81a6735ad596b77e375fbd7f41ff79354cbcb3e4","sha256:fa212fac80f871074d7a35b6c4fad67c4934c1262404beaf06cbe190ac9dd3b7"],"state_sha256":"b8430e49d3f68fd4a07ce69eed4a6df28fb024ceabe85b01e2ebb331114dda36"}