{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:AM5A4XO42HU6CDK5XVVQQ4JNGA","short_pith_number":"pith:AM5A4XO4","canonical_record":{"source":{"id":"2104.03143","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-04-07T14:17:52Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5d5d5be451ba9d5b28cacb8671e0febd934308af2efdaf3d42bf635e87f491b1","abstract_canon_sha256":"4af3b84605757558a74fc076f278199c46e1ce442f1751544d37424e7eed85fe"},"schema_version":"1.0"},"canonical_sha256":"033a0e5ddcd1e9e10d5dbd6b08712d301508d17b216f6b5133bf9d52b082547c","source":{"kind":"arxiv","id":"2104.03143","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.03143","created_at":"2026-07-05T02:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"2104.03143v2","created_at":"2026-07-05T02:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.03143","created_at":"2026-07-05T02:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"AM5A4XO42HU6","created_at":"2026-07-05T02:32:36Z"},{"alias_kind":"pith_short_16","alias_value":"AM5A4XO42HU6CDK5","created_at":"2026-07-05T02:32:36Z"},{"alias_kind":"pith_short_8","alias_value":"AM5A4XO4","created_at":"2026-07-05T02:32:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:AM5A4XO42HU6CDK5XVVQQ4JNGA","target":"record","payload":{"canonical_record":{"source":{"id":"2104.03143","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-04-07T14:17:52Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5d5d5be451ba9d5b28cacb8671e0febd934308af2efdaf3d42bf635e87f491b1","abstract_canon_sha256":"4af3b84605757558a74fc076f278199c46e1ce442f1751544d37424e7eed85fe"},"schema_version":"1.0"},"canonical_sha256":"033a0e5ddcd1e9e10d5dbd6b08712d301508d17b216f6b5133bf9d52b082547c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:32:36.391591Z","signature_b64":"/DddEb7EY9lBKOyfS1gEWyX32VoGNCqLop1NlMDWgwiuXMOyZdLR0kp+VEStHlpgP0+nbDckN09La9WIuigCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"033a0e5ddcd1e9e10d5dbd6b08712d301508d17b216f6b5133bf9d52b082547c","last_reissued_at":"2026-07-05T02:32:36.391123Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:32:36.391123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2104.03143","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SFP0x25YZnhmoe7ZPM72DFCmTmZienLQ55Ac0zRmfaVnL4ksSCPDm8q9cBw3kBTGiuXzM1V3XNzPq/U6knyuBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T20:27:16.635708Z"},"content_sha256":"ec91690945198ac605c6404ce5146ae58597aae66bd87bff0104744483d014eb","schema_version":"1.0","event_id":"sha256:ec91690945198ac605c6404ce5146ae58597aae66bd87bff0104744483d014eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:AM5A4XO42HU6CDK5XVVQQ4JNGA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Riemann surface crossover for the spectral gaps of open TASEP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Sylvain Prolhac, Ulysse Godreau","submitted_at":"2021-04-07T14:17:52Z","abstract_excerpt":"We consider the totally asymmetric simple exclusion process with open boundaries, at the edge of the maximal current phase. Using analytic continuations from the known stationary eigenvalue, we obtain exact expressions for the spectral gaps in the limit of large system size. The underlying Riemann surface,generated by modified Lambert functions, interpolates between the one for periodic TASEP and the one for open TASEP in the maximal current phase."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.03143","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2104.03143/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A3rutp/i73X3uV0AVefmM+M4hKZYZUm7lD9WckgXkRifj4SckQT6rYBvHagYWvbutQUfHcZSrkJhE0gW2mf0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T20:27:16.636034Z"},"content_sha256":"a15e8bf01a949073ff202e1cbe4a730b161b33244f4609b568f0a009ab0d2904","schema_version":"1.0","event_id":"sha256:a15e8bf01a949073ff202e1cbe4a730b161b33244f4609b568f0a009ab0d2904"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AM5A4XO42HU6CDK5XVVQQ4JNGA/bundle.json","state_url":"https://pith.science/pith/AM5A4XO42HU6CDK5XVVQQ4JNGA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AM5A4XO42HU6CDK5XVVQQ4JNGA/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":"2026-08-23T20:27:16Z","links":{"resolver":"https://pith.science/pith/AM5A4XO42HU6CDK5XVVQQ4JNGA","bundle":"https://pith.science/pith/AM5A4XO42HU6CDK5XVVQQ4JNGA/bundle.json","state":"https://pith.science/pith/AM5A4XO42HU6CDK5XVVQQ4JNGA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AM5A4XO42HU6CDK5XVVQQ4JNGA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:AM5A4XO42HU6CDK5XVVQQ4JNGA","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":"4af3b84605757558a74fc076f278199c46e1ce442f1751544d37424e7eed85fe","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-04-07T14:17:52Z","title_canon_sha256":"5d5d5be451ba9d5b28cacb8671e0febd934308af2efdaf3d42bf635e87f491b1"},"schema_version":"1.0","source":{"id":"2104.03143","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.03143","created_at":"2026-07-05T02:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"2104.03143v2","created_at":"2026-07-05T02:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.03143","created_at":"2026-07-05T02:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"AM5A4XO42HU6","created_at":"2026-07-05T02:32:36Z"},{"alias_kind":"pith_short_16","alias_value":"AM5A4XO42HU6CDK5","created_at":"2026-07-05T02:32:36Z"},{"alias_kind":"pith_short_8","alias_value":"AM5A4XO4","created_at":"2026-07-05T02:32:36Z"}],"graph_snapshots":[{"event_id":"sha256:a15e8bf01a949073ff202e1cbe4a730b161b33244f4609b568f0a009ab0d2904","target":"graph","created_at":"2026-07-05T02:32:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2104.03143/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the totally asymmetric simple exclusion process with open boundaries, at the edge of the maximal current phase. Using analytic continuations from the known stationary eigenvalue, we obtain exact expressions for the spectral gaps in the limit of large system size. The underlying Riemann surface,generated by modified Lambert functions, interpolates between the one for periodic TASEP and the one for open TASEP in the maximal current phase.","authors_text":"Sylvain Prolhac, Ulysse Godreau","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-04-07T14:17:52Z","title":"Riemann surface crossover for the spectral gaps of open TASEP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.03143","kind":"arxiv","version":2},"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:ec91690945198ac605c6404ce5146ae58597aae66bd87bff0104744483d014eb","target":"record","created_at":"2026-07-05T02:32:36Z","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":"4af3b84605757558a74fc076f278199c46e1ce442f1751544d37424e7eed85fe","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-04-07T14:17:52Z","title_canon_sha256":"5d5d5be451ba9d5b28cacb8671e0febd934308af2efdaf3d42bf635e87f491b1"},"schema_version":"1.0","source":{"id":"2104.03143","kind":"arxiv","version":2}},"canonical_sha256":"033a0e5ddcd1e9e10d5dbd6b08712d301508d17b216f6b5133bf9d52b082547c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"033a0e5ddcd1e9e10d5dbd6b08712d301508d17b216f6b5133bf9d52b082547c","first_computed_at":"2026-07-05T02:32:36.391123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:32:36.391123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/DddEb7EY9lBKOyfS1gEWyX32VoGNCqLop1NlMDWgwiuXMOyZdLR0kp+VEStHlpgP0+nbDckN09La9WIuigCCg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:32:36.391591Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.03143","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec91690945198ac605c6404ce5146ae58597aae66bd87bff0104744483d014eb","sha256:a15e8bf01a949073ff202e1cbe4a730b161b33244f4609b568f0a009ab0d2904"],"state_sha256":"ee1e024610c56933fc67bbe6d3c5c65107e0fbc85bfa91417ce667f910d741af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3TbxVlad7rZD98stc0iAKIqYGnd6AsH8tenE0cSGU9QiJO71ZseX8dfbQcooTrwGV/t/YwkW/HGRgMd2Y1M9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T20:27:16.639180Z","bundle_sha256":"f63d2ebeccffab163983b06240f917a9f0e3ded66e8effd52bab78068ec12bf1"}}