{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:TE5YWEYPPJR64T6UUUO7KECEIK","short_pith_number":"pith:TE5YWEYP","canonical_record":{"source":{"id":"2403.20010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-29T06:50:32Z","cross_cats_sorted":[],"title_canon_sha256":"9f420a093720f2d39430c8ff9bf5a02273b80a60a34cabceec7f328824cb46f2","abstract_canon_sha256":"95a9f55c3933d5d154dc487a8b550dc4ef112e5dab5d197c2cbf51a46ca5fad0"},"schema_version":"1.0"},"canonical_sha256":"993b8b130f7a63ee4fd4a51df5104442a07b2ed17039638b7d33cffea071a14f","source":{"kind":"arxiv","id":"2403.20010","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.20010","created_at":"2026-07-05T08:02:11Z"},{"alias_kind":"arxiv_version","alias_value":"2403.20010v1","created_at":"2026-07-05T08:02:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.20010","created_at":"2026-07-05T08:02:11Z"},{"alias_kind":"pith_short_12","alias_value":"TE5YWEYPPJR6","created_at":"2026-07-05T08:02:11Z"},{"alias_kind":"pith_short_16","alias_value":"TE5YWEYPPJR64T6U","created_at":"2026-07-05T08:02:11Z"},{"alias_kind":"pith_short_8","alias_value":"TE5YWEYP","created_at":"2026-07-05T08:02:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:TE5YWEYPPJR64T6UUUO7KECEIK","target":"record","payload":{"canonical_record":{"source":{"id":"2403.20010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-29T06:50:32Z","cross_cats_sorted":[],"title_canon_sha256":"9f420a093720f2d39430c8ff9bf5a02273b80a60a34cabceec7f328824cb46f2","abstract_canon_sha256":"95a9f55c3933d5d154dc487a8b550dc4ef112e5dab5d197c2cbf51a46ca5fad0"},"schema_version":"1.0"},"canonical_sha256":"993b8b130f7a63ee4fd4a51df5104442a07b2ed17039638b7d33cffea071a14f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:02:11.990804Z","signature_b64":"uFDEPxA+nWi454JI6MAx9yMgysKx1HwoJXc1h074BXY2qp7OEcBCIfSnZKpQ2ETjqU9xPox20OajBLfx9j18Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"993b8b130f7a63ee4fd4a51df5104442a07b2ed17039638b7d33cffea071a14f","last_reissued_at":"2026-07-05T08:02:11.990398Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:02:11.990398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.20010","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":"2026-07-05T08:02:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4NEnzx3cielBF7EBXlTdpe2g09nVHvwB68ALBUAfF4djCJlQpmkHkS1YE55j/J27BYeQ/WNpzvS1B7JGb5e4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T06:43:09.803158Z"},"content_sha256":"54d907aab624a13760c5bcadf864991d3527d08a86ba35a6b644ece63fea89e6","schema_version":"1.0","event_id":"sha256:54d907aab624a13760c5bcadf864991d3527d08a86ba35a6b644ece63fea89e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:TE5YWEYPPJR64T6UUUO7KECEIK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cutoff for the transience and mixing time of a SSEP with traps and consequences on the FEP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Brune Massouli\\'e, Cl\\'ement Erignoux","submitted_at":"2024-03-29T06:50:32Z","abstract_excerpt":"We introduce a new particle system that we call the SSEP with traps, which is non reversible, attractive, and has a transient regime. We study its \\emph{transience time} $\\theta_K$, meaning the time after which the system is no longer in a transient state with high probability, on the ring with $K$ sites. We first show that $\\theta_K$ is of order $K^2 \\log K$ for a system of size $K$, and more precisely that it exhibits a cutoff at time $\\frac{1}{\\pi^2} K^2 \\log K$. We then show that its \\emph{mixing time} also undergoes cutoff at the same time.\n  We further define a new mapping between the SS"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.20010","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.20010/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":"2026-07-05T08:02:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qyT37NaBLAxccqKhuHginKnC5BYfYVfNeI9ICwdIiTiEp+MW+yWDxV3wXh1JQ9xJ4xKNZJbolt1UGfNM7TSwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T06:43:09.803682Z"},"content_sha256":"8f45056b35ae32cd5945c5ca07d8e06985e77550f6d647017a1b6a69459d4211","schema_version":"1.0","event_id":"sha256:8f45056b35ae32cd5945c5ca07d8e06985e77550f6d647017a1b6a69459d4211"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TE5YWEYPPJR64T6UUUO7KECEIK/bundle.json","state_url":"https://pith.science/pith/TE5YWEYPPJR64T6UUUO7KECEIK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TE5YWEYPPJR64T6UUUO7KECEIK/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":"2026-08-19T06:43:09Z","links":{"resolver":"https://pith.science/pith/TE5YWEYPPJR64T6UUUO7KECEIK","bundle":"https://pith.science/pith/TE5YWEYPPJR64T6UUUO7KECEIK/bundle.json","state":"https://pith.science/pith/TE5YWEYPPJR64T6UUUO7KECEIK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TE5YWEYPPJR64T6UUUO7KECEIK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TE5YWEYPPJR64T6UUUO7KECEIK","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":"95a9f55c3933d5d154dc487a8b550dc4ef112e5dab5d197c2cbf51a46ca5fad0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-29T06:50:32Z","title_canon_sha256":"9f420a093720f2d39430c8ff9bf5a02273b80a60a34cabceec7f328824cb46f2"},"schema_version":"1.0","source":{"id":"2403.20010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.20010","created_at":"2026-07-05T08:02:11Z"},{"alias_kind":"arxiv_version","alias_value":"2403.20010v1","created_at":"2026-07-05T08:02:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.20010","created_at":"2026-07-05T08:02:11Z"},{"alias_kind":"pith_short_12","alias_value":"TE5YWEYPPJR6","created_at":"2026-07-05T08:02:11Z"},{"alias_kind":"pith_short_16","alias_value":"TE5YWEYPPJR64T6U","created_at":"2026-07-05T08:02:11Z"},{"alias_kind":"pith_short_8","alias_value":"TE5YWEYP","created_at":"2026-07-05T08:02:11Z"}],"graph_snapshots":[{"event_id":"sha256:8f45056b35ae32cd5945c5ca07d8e06985e77550f6d647017a1b6a69459d4211","target":"graph","created_at":"2026-07-05T08:02:11Z","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/2403.20010/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a new particle system that we call the SSEP with traps, which is non reversible, attractive, and has a transient regime. We study its \\emph{transience time} $\\theta_K$, meaning the time after which the system is no longer in a transient state with high probability, on the ring with $K$ sites. We first show that $\\theta_K$ is of order $K^2 \\log K$ for a system of size $K$, and more precisely that it exhibits a cutoff at time $\\frac{1}{\\pi^2} K^2 \\log K$. We then show that its \\emph{mixing time} also undergoes cutoff at the same time.\n  We further define a new mapping between the SS","authors_text":"Brune Massouli\\'e, Cl\\'ement Erignoux","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-29T06:50:32Z","title":"Cutoff for the transience and mixing time of a SSEP with traps and consequences on the FEP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.20010","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":"sha256:54d907aab624a13760c5bcadf864991d3527d08a86ba35a6b644ece63fea89e6","target":"record","created_at":"2026-07-05T08:02:11Z","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":"95a9f55c3933d5d154dc487a8b550dc4ef112e5dab5d197c2cbf51a46ca5fad0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-29T06:50:32Z","title_canon_sha256":"9f420a093720f2d39430c8ff9bf5a02273b80a60a34cabceec7f328824cb46f2"},"schema_version":"1.0","source":{"id":"2403.20010","kind":"arxiv","version":1}},"canonical_sha256":"993b8b130f7a63ee4fd4a51df5104442a07b2ed17039638b7d33cffea071a14f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"993b8b130f7a63ee4fd4a51df5104442a07b2ed17039638b7d33cffea071a14f","first_computed_at":"2026-07-05T08:02:11.990398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:02:11.990398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uFDEPxA+nWi454JI6MAx9yMgysKx1HwoJXc1h074BXY2qp7OEcBCIfSnZKpQ2ETjqU9xPox20OajBLfx9j18Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:02:11.990804Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.20010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54d907aab624a13760c5bcadf864991d3527d08a86ba35a6b644ece63fea89e6","sha256:8f45056b35ae32cd5945c5ca07d8e06985e77550f6d647017a1b6a69459d4211"],"state_sha256":"469659e7adf0118beffb85b0c8a4ae2c383cf389308dfbc3b4f91e1a15bfa804"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nyrHNThFU9Bi5/K3GVJORjPx1sg6qllcghhOIFyIUXQnhq1yAG3Pijio5CmwF0F0yQKJ3vpnoRIi7lJQylyzDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T06:43:09.809108Z","bundle_sha256":"84fc55e7470835f25db0ae0f73f6fab6ed3504ff9bf673070bbc91b8a3c1d79d"}}