{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:AOO4EY3AGWKJJCNI76CTSJ4CVD","short_pith_number":"pith:AOO4EY3A","canonical_record":{"source":{"id":"0907.0226","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-07-01T19:37:33Z","cross_cats_sorted":["cond-mat.stat-mech","math.CO","math.MP"],"title_canon_sha256":"e0047c47dea2538224e5807a23f11e50c092860506f2f2a016ea5df48aa6dd39","abstract_canon_sha256":"d01089e6e51f6528449e5fb6efd0a9f3c1e6700c9e44815e58183f77fae3bae5"},"schema_version":"1.0"},"canonical_sha256":"039dc2636035949489a8ff85392782a8f20fd056b7d71fd8b5aa51dd2f7ea5ff","source":{"kind":"arxiv","id":"0907.0226","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.0226","created_at":"2026-05-18T03:42:21Z"},{"alias_kind":"arxiv_version","alias_value":"0907.0226v4","created_at":"2026-05-18T03:42:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.0226","created_at":"2026-05-18T03:42:21Z"},{"alias_kind":"pith_short_12","alias_value":"AOO4EY3AGWKJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AOO4EY3AGWKJJCNI","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AOO4EY3A","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:AOO4EY3AGWKJJCNI76CTSJ4CVD","target":"record","payload":{"canonical_record":{"source":{"id":"0907.0226","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-07-01T19:37:33Z","cross_cats_sorted":["cond-mat.stat-mech","math.CO","math.MP"],"title_canon_sha256":"e0047c47dea2538224e5807a23f11e50c092860506f2f2a016ea5df48aa6dd39","abstract_canon_sha256":"d01089e6e51f6528449e5fb6efd0a9f3c1e6700c9e44815e58183f77fae3bae5"},"schema_version":"1.0"},"canonical_sha256":"039dc2636035949489a8ff85392782a8f20fd056b7d71fd8b5aa51dd2f7ea5ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:21.704887Z","signature_b64":"ejhIAMTC8i1puzDVEF4Cdc3nxB9wTVYVYQH5bKJhoL48Jz4bk8TccbIDIu/61M2qOUIfRqkJO1qad3/PE0MmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"039dc2636035949489a8ff85392782a8f20fd056b7d71fd8b5aa51dd2f7ea5ff","last_reissued_at":"2026-05-18T03:42:21.704050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:21.704050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.0226","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:42:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EydBluEXi+6ufRNUrZPUwuvajO67y2x6+U6cJJp/fmZmJnRb3HT0stviz4kv7/WhdLaarsns9iBYB1Vsa+oEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T00:45:22.067250Z"},"content_sha256":"39bbc1f6abbafafd98d08f0536a27b705c053c3eaad072f9af81b1e67701ab4e","schema_version":"1.0","event_id":"sha256:39bbc1f6abbafafd98d08f0536a27b705c053c3eaad072f9af81b1e67701ab4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:AOO4EY3AGWKJJCNI76CTSJ4CVD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Limit process of stationary TASEP near the characteristic line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.CO","math.MP"],"primary_cat":"math-ph","authors_text":"(2) Bonn University, (3) Institut Fourier), Jinho Baik (1), Patrik L. Ferrari (2), Sandrine P\\'ech\\'e (3) ((1) University of Michigan","submitted_at":"2009-07-01T19:37:33Z","abstract_excerpt":"The totally asymmetric simple exclusion process (TASEP) on Z with the Bernoulli-rho measure as initial conditions, 0<rho<1, is stationary. It is known that along the characteristic line, the current fluctuates as of order t^{1/3}. The limiting distribution has also been obtained explicitly. In this paper we determine the limiting multi-point distribution of the current fluctuations moving away from the characteristics by the order t^{2/3}. The main tool is the analysis of a related directed last percolation model. We also discuss the process limit in tandem queues in equilibrium."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.0226","kind":"arxiv","version":4},"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":"2026-05-18T03:42:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"biLWVVBGKLY9D9gP719zddpeDoOJvAfaFQGFs0AZUdlfTWJiUHUTuMsWXSqSz/A19jiZ8jk0GEHL9SYwdaG8DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T00:45:22.067771Z"},"content_sha256":"5e7dfe9275f0cb830fea01218ffc3b603a91388d6647c2969864ac015ff24582","schema_version":"1.0","event_id":"sha256:5e7dfe9275f0cb830fea01218ffc3b603a91388d6647c2969864ac015ff24582"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AOO4EY3AGWKJJCNI76CTSJ4CVD/bundle.json","state_url":"https://pith.science/pith/AOO4EY3AGWKJJCNI76CTSJ4CVD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AOO4EY3AGWKJJCNI76CTSJ4CVD/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":"2026-06-26T00:45:22Z","links":{"resolver":"https://pith.science/pith/AOO4EY3AGWKJJCNI76CTSJ4CVD","bundle":"https://pith.science/pith/AOO4EY3AGWKJJCNI76CTSJ4CVD/bundle.json","state":"https://pith.science/pith/AOO4EY3AGWKJJCNI76CTSJ4CVD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AOO4EY3AGWKJJCNI76CTSJ4CVD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:AOO4EY3AGWKJJCNI76CTSJ4CVD","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":"d01089e6e51f6528449e5fb6efd0a9f3c1e6700c9e44815e58183f77fae3bae5","cross_cats_sorted":["cond-mat.stat-mech","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-07-01T19:37:33Z","title_canon_sha256":"e0047c47dea2538224e5807a23f11e50c092860506f2f2a016ea5df48aa6dd39"},"schema_version":"1.0","source":{"id":"0907.0226","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.0226","created_at":"2026-05-18T03:42:21Z"},{"alias_kind":"arxiv_version","alias_value":"0907.0226v4","created_at":"2026-05-18T03:42:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.0226","created_at":"2026-05-18T03:42:21Z"},{"alias_kind":"pith_short_12","alias_value":"AOO4EY3AGWKJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AOO4EY3AGWKJJCNI","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AOO4EY3A","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:5e7dfe9275f0cb830fea01218ffc3b603a91388d6647c2969864ac015ff24582","target":"graph","created_at":"2026-05-18T03:42:21Z","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":"The totally asymmetric simple exclusion process (TASEP) on Z with the Bernoulli-rho measure as initial conditions, 0<rho<1, is stationary. It is known that along the characteristic line, the current fluctuates as of order t^{1/3}. The limiting distribution has also been obtained explicitly. In this paper we determine the limiting multi-point distribution of the current fluctuations moving away from the characteristics by the order t^{2/3}. The main tool is the analysis of a related directed last percolation model. We also discuss the process limit in tandem queues in equilibrium.","authors_text":"(2) Bonn University, (3) Institut Fourier), Jinho Baik (1), Patrik L. Ferrari (2), Sandrine P\\'ech\\'e (3) ((1) University of Michigan","cross_cats":["cond-mat.stat-mech","math.CO","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-07-01T19:37:33Z","title":"Limit process of stationary TASEP near the characteristic line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.0226","kind":"arxiv","version":4},"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":"sha256:39bbc1f6abbafafd98d08f0536a27b705c053c3eaad072f9af81b1e67701ab4e","target":"record","created_at":"2026-05-18T03:42:21Z","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":"d01089e6e51f6528449e5fb6efd0a9f3c1e6700c9e44815e58183f77fae3bae5","cross_cats_sorted":["cond-mat.stat-mech","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-07-01T19:37:33Z","title_canon_sha256":"e0047c47dea2538224e5807a23f11e50c092860506f2f2a016ea5df48aa6dd39"},"schema_version":"1.0","source":{"id":"0907.0226","kind":"arxiv","version":4}},"canonical_sha256":"039dc2636035949489a8ff85392782a8f20fd056b7d71fd8b5aa51dd2f7ea5ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"039dc2636035949489a8ff85392782a8f20fd056b7d71fd8b5aa51dd2f7ea5ff","first_computed_at":"2026-05-18T03:42:21.704050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:21.704050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ejhIAMTC8i1puzDVEF4Cdc3nxB9wTVYVYQH5bKJhoL48Jz4bk8TccbIDIu/61M2qOUIfRqkJO1qad3/PE0MmDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:21.704887Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.0226","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39bbc1f6abbafafd98d08f0536a27b705c053c3eaad072f9af81b1e67701ab4e","sha256:5e7dfe9275f0cb830fea01218ffc3b603a91388d6647c2969864ac015ff24582"],"state_sha256":"3957627f8acc5320a3a1b55f17c2fbf6199823d732fa2a60fb11cd786746c4f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dFzWoDcTIr7cKGiEw+hh6PWocrEBLQu3cp5+4BMgW6XlyI72No4nTPzcEg58dBoFZUmmNxFxry7dof0A+yrvCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T00:45:22.070126Z","bundle_sha256":"d2da755497a44c9e9f6533a8a688fe2312692c8f9dd9b2641d4dc834ec64a1e7"}}