{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TYE42UZLHVK44CYD4Z5VUH24KH","short_pith_number":"pith:TYE42UZL","canonical_record":{"source":{"id":"1407.5402","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-21T07:48:36Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"cb226d28ff784cca3b784fe7c4fdeebeabf8d649d5b9c72d59374d3bd7d88022","abstract_canon_sha256":"64d5212ff4c42d2529c0b20ae96a2190b453eeec0f1cb580dd194cf8d61bc264"},"schema_version":"1.0"},"canonical_sha256":"9e09cd532b3d55ce0b03e67b5a1f5c51decaf8313f2288b14fb7297b4b2d11ea","source":{"kind":"arxiv","id":"1407.5402","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5402","created_at":"2026-05-18T02:31:20Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5402v2","created_at":"2026-05-18T02:31:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5402","created_at":"2026-05-18T02:31:20Z"},{"alias_kind":"pith_short_12","alias_value":"TYE42UZLHVK4","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TYE42UZLHVK44CYD","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TYE42UZL","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TYE42UZLHVK44CYD4Z5VUH24KH","target":"record","payload":{"canonical_record":{"source":{"id":"1407.5402","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-21T07:48:36Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"cb226d28ff784cca3b784fe7c4fdeebeabf8d649d5b9c72d59374d3bd7d88022","abstract_canon_sha256":"64d5212ff4c42d2529c0b20ae96a2190b453eeec0f1cb580dd194cf8d61bc264"},"schema_version":"1.0"},"canonical_sha256":"9e09cd532b3d55ce0b03e67b5a1f5c51decaf8313f2288b14fb7297b4b2d11ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:20.819638Z","signature_b64":"afK6sU+b0Hb2QpoO6qM9+AlLgZZEOG13Yuqq/i5QUKfvbNAUGPSkQbbFHVW4iqEvFrxB463kd5+wH5p9yiqKAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e09cd532b3d55ce0b03e67b5a1f5c51decaf8313f2288b14fb7297b4b2d11ea","last_reissued_at":"2026-05-18T02:31:20.818996Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:20.818996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.5402","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":"2026-05-18T02:31:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bpMAgjD2y1F+HB4Gw2zbo4FAkD8qPbGbEy1PCNfHacPrXqel6jJUZAdxGgsybEEiuZYiM7zz3Dqqe+SNKpAbDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:24:30.196172Z"},"content_sha256":"2f5746489af2cf818a05700f739855ba95fbb61967f03f608e58ba5d2beff18f","schema_version":"1.0","event_id":"sha256:2f5746489af2cf818a05700f739855ba95fbb61967f03f608e58ba5d2beff18f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TYE42UZLHVK44CYD4Z5VUH24KH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From Sine kernel to Poisson statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"math.PR","authors_text":"Laure Dumaz, Romain Allez","submitted_at":"2014-07-21T07:48:36Z","abstract_excerpt":"We study the Sine$_\\beta$ process introduced in [B. Valk\\'o and B. Vir\\'ag. Invent. math. (2009)] when the inverse temperature $\\beta$ tends to 0. This point process has been shown to be the scaling limit of the eigenvalues point process in the bulk of $\\beta$-ensembles and its law is characterized in terms of the winding numbers of the Brownian carrousel at different angular speeds. After a careful analysis of this family of coupled diffusion processes, we prove that the Sine$_\\beta$ point process converges weakly to a Poisson point process on $\\mathbb{R}$. Thus, the Sine$_\\beta$ point proces"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5402","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:31:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hmdvb7t4G3AQwxhQtdZd3oNQd/RSTtfCsY08U7TUur7hUmddMLAXfM4My3mScWR+McXZcQT4wjbCzv3efRwLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:24:30.196854Z"},"content_sha256":"5583f020330f11334178c5a0b8a42b89786786514f9ad1568c34601ecc80486b","schema_version":"1.0","event_id":"sha256:5583f020330f11334178c5a0b8a42b89786786514f9ad1568c34601ecc80486b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TYE42UZLHVK44CYD4Z5VUH24KH/bundle.json","state_url":"https://pith.science/pith/TYE42UZLHVK44CYD4Z5VUH24KH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TYE42UZLHVK44CYD4Z5VUH24KH/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":"2026-06-08T01:24:30Z","links":{"resolver":"https://pith.science/pith/TYE42UZLHVK44CYD4Z5VUH24KH","bundle":"https://pith.science/pith/TYE42UZLHVK44CYD4Z5VUH24KH/bundle.json","state":"https://pith.science/pith/TYE42UZLHVK44CYD4Z5VUH24KH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TYE42UZLHVK44CYD4Z5VUH24KH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TYE42UZLHVK44CYD4Z5VUH24KH","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":"64d5212ff4c42d2529c0b20ae96a2190b453eeec0f1cb580dd194cf8d61bc264","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-21T07:48:36Z","title_canon_sha256":"cb226d28ff784cca3b784fe7c4fdeebeabf8d649d5b9c72d59374d3bd7d88022"},"schema_version":"1.0","source":{"id":"1407.5402","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5402","created_at":"2026-05-18T02:31:20Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5402v2","created_at":"2026-05-18T02:31:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5402","created_at":"2026-05-18T02:31:20Z"},{"alias_kind":"pith_short_12","alias_value":"TYE42UZLHVK4","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TYE42UZLHVK44CYD","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TYE42UZL","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:5583f020330f11334178c5a0b8a42b89786786514f9ad1568c34601ecc80486b","target":"graph","created_at":"2026-05-18T02:31:20Z","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":"We study the Sine$_\\beta$ process introduced in [B. Valk\\'o and B. Vir\\'ag. Invent. math. (2009)] when the inverse temperature $\\beta$ tends to 0. This point process has been shown to be the scaling limit of the eigenvalues point process in the bulk of $\\beta$-ensembles and its law is characterized in terms of the winding numbers of the Brownian carrousel at different angular speeds. After a careful analysis of this family of coupled diffusion processes, we prove that the Sine$_\\beta$ point process converges weakly to a Poisson point process on $\\mathbb{R}$. Thus, the Sine$_\\beta$ point proces","authors_text":"Laure Dumaz, Romain Allez","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-21T07:48:36Z","title":"From Sine kernel to Poisson statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5402","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":"sha256:2f5746489af2cf818a05700f739855ba95fbb61967f03f608e58ba5d2beff18f","target":"record","created_at":"2026-05-18T02:31:20Z","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":"64d5212ff4c42d2529c0b20ae96a2190b453eeec0f1cb580dd194cf8d61bc264","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-21T07:48:36Z","title_canon_sha256":"cb226d28ff784cca3b784fe7c4fdeebeabf8d649d5b9c72d59374d3bd7d88022"},"schema_version":"1.0","source":{"id":"1407.5402","kind":"arxiv","version":2}},"canonical_sha256":"9e09cd532b3d55ce0b03e67b5a1f5c51decaf8313f2288b14fb7297b4b2d11ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e09cd532b3d55ce0b03e67b5a1f5c51decaf8313f2288b14fb7297b4b2d11ea","first_computed_at":"2026-05-18T02:31:20.818996Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:20.818996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"afK6sU+b0Hb2QpoO6qM9+AlLgZZEOG13Yuqq/i5QUKfvbNAUGPSkQbbFHVW4iqEvFrxB463kd5+wH5p9yiqKAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:20.819638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5402","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f5746489af2cf818a05700f739855ba95fbb61967f03f608e58ba5d2beff18f","sha256:5583f020330f11334178c5a0b8a42b89786786514f9ad1568c34601ecc80486b"],"state_sha256":"cbbf17d6352304b8482b9f28a0a1a91f87463b93165059f21ebb73c473e52cb1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mtnRFDZlcXtEYs+Y9eZeRucejCrvOEWOdg6kXCGBQSpo6A0byFmw3wAA641Txt8GmirDOMhD10UpJ86qOGhDAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T01:24:30.201177Z","bundle_sha256":"2a5e351e114128dbda4016155a9ce5250b511658f75d4d80760e7b59fd8733e5"}}