{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:22UYLHZAOFKLAJLHFB6LYXO3UX","short_pith_number":"pith:22UYLHZA","schema_version":"1.0","canonical_sha256":"d6a9859f207154b02567287cbc5ddba5c5c20fe42d6c2ad8a3b29cc245c505e5","source":{"kind":"arxiv","id":"1002.3476","version":2},"attestation_state":"computed","paper":{"title":"Limit processes for TASEP with shocks and rarefaction fans","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"(2) Bonn University, (3) Institut Fourier), Ivan Corwin (1), Patrik L. Ferrari (2), Sandrine P\\'ech\\'e (3) ((1) Courant Institute","submitted_at":"2010-02-18T10:33:22Z","abstract_excerpt":"We consider the totally asymmetric simple exclusion process (TASEP) with two-sided Bernoulli initial condition, i.e., with left density rho_- and right density rho_+. We consider the associated height function, whose discrete gradient is given by the particle occurrences. Macroscopically one has a deterministic limit shape with a shock or a rarefaction fan depending on the values of rho_{+/-}. We characterize the large time scaling limit of the fluctuations as a function of the densities rho_{+/-} and of the different macroscopic regions. Moreover, using a slow decorrelation phenomena, the res"},"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":"1002.3476","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-02-18T10:33:22Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"e11624e59d68bfbcb26d4f572995cc3eef250db5e19ae5b51f5aa067e6b9579c","abstract_canon_sha256":"9c30a7b03e4d9bfb7961c9376f459aa659347090e5ecb482e416b7dcd7ecdb8f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:59.711450Z","signature_b64":"DG1TvvxUH8FSt+79DI8JbCKYBPYKmz/eTZkCHvdGP+KsnDZT9i8BFjCqExmaSNeejcFYP/+QT4TxNyo3BLifDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6a9859f207154b02567287cbc5ddba5c5c20fe42d6c2ad8a3b29cc245c505e5","last_reissued_at":"2026-05-18T02:08:59.710670Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:59.710670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Limit processes for TASEP with shocks and rarefaction fans","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"(2) Bonn University, (3) Institut Fourier), Ivan Corwin (1), Patrik L. Ferrari (2), Sandrine P\\'ech\\'e (3) ((1) Courant Institute","submitted_at":"2010-02-18T10:33:22Z","abstract_excerpt":"We consider the totally asymmetric simple exclusion process (TASEP) with two-sided Bernoulli initial condition, i.e., with left density rho_- and right density rho_+. We consider the associated height function, whose discrete gradient is given by the particle occurrences. Macroscopically one has a deterministic limit shape with a shock or a rarefaction fan depending on the values of rho_{+/-}. We characterize the large time scaling limit of the fluctuations as a function of the densities rho_{+/-} and of the different macroscopic regions. Moreover, using a slow decorrelation phenomena, the res"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3476","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":"1002.3476","created_at":"2026-05-18T02:08:59.710801+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.3476v2","created_at":"2026-05-18T02:08:59.710801+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3476","created_at":"2026-05-18T02:08:59.710801+00:00"},{"alias_kind":"pith_short_12","alias_value":"22UYLHZAOFKL","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"22UYLHZAOFKLAJLH","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"22UYLHZA","created_at":"2026-05-18T12:26:03.138858+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/22UYLHZAOFKLAJLHFB6LYXO3UX","json":"https://pith.science/pith/22UYLHZAOFKLAJLHFB6LYXO3UX.json","graph_json":"https://pith.science/api/pith-number/22UYLHZAOFKLAJLHFB6LYXO3UX/graph.json","events_json":"https://pith.science/api/pith-number/22UYLHZAOFKLAJLHFB6LYXO3UX/events.json","paper":"https://pith.science/paper/22UYLHZA"},"agent_actions":{"view_html":"https://pith.science/pith/22UYLHZAOFKLAJLHFB6LYXO3UX","download_json":"https://pith.science/pith/22UYLHZAOFKLAJLHFB6LYXO3UX.json","view_paper":"https://pith.science/paper/22UYLHZA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.3476&json=true","fetch_graph":"https://pith.science/api/pith-number/22UYLHZAOFKLAJLHFB6LYXO3UX/graph.json","fetch_events":"https://pith.science/api/pith-number/22UYLHZAOFKLAJLHFB6LYXO3UX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/22UYLHZAOFKLAJLHFB6LYXO3UX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/22UYLHZAOFKLAJLHFB6LYXO3UX/action/storage_attestation","attest_author":"https://pith.science/pith/22UYLHZAOFKLAJLHFB6LYXO3UX/action/author_attestation","sign_citation":"https://pith.science/pith/22UYLHZAOFKLAJLHFB6LYXO3UX/action/citation_signature","submit_replication":"https://pith.science/pith/22UYLHZAOFKLAJLHFB6LYXO3UX/action/replication_record"}},"created_at":"2026-05-18T02:08:59.710801+00:00","updated_at":"2026-05-18T02:08:59.710801+00:00"}