{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:7YXWGVNWKYMLDBKUMI6FTR27WE","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":"976e0f566a153e5b5e900051d1350a52b3534f7ae4c517f8ee1bb46997746e92","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.CO","submitted_at":"2006-01-01T23:07:18Z","title_canon_sha256":"77dcd4e40935a4b15bd6bb1850a80cab1c36717e48b60f9fdde77271814fffa7"},"schema_version":"1.0","source":{"id":"math/0601019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601019","created_at":"2026-07-04T14:52:45Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601019v1","created_at":"2026-07-04T14:52:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601019","created_at":"2026-07-04T14:52:45Z"},{"alias_kind":"pith_short_12","alias_value":"7YXWGVNWKYML","created_at":"2026-07-04T14:52:45Z"},{"alias_kind":"pith_short_16","alias_value":"7YXWGVNWKYMLDBKU","created_at":"2026-07-04T14:52:45Z"},{"alias_kind":"pith_short_8","alias_value":"7YXWGVNW","created_at":"2026-07-04T14:52:45Z"}],"graph_snapshots":[{"event_id":"sha256:9dcf394d043bc0d9aa59a7b58fb0d7457ca993ff6363e66d49aa55d5c4bd0d9d","target":"graph","created_at":"2026-07-04T14:52:45Z","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/math/0601019/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Periodic Schur process is a generalization of the Schur process introduced in math.CO/0107056. We compute its correlation functions and their bulk scaling limits, and discuss several applications including asymptotic analysis of uniform measures on cylindric partitions, time-dependent extensions of the discrete sine kernel, and bulk limit behavior of certain measures on partitions introduced in hep-th/0306238 in connection with supersymmetric gauge theories.","authors_text":"Alexei Borodin","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"math.CO","submitted_at":"2006-01-01T23:07:18Z","title":"Periodic Schur process and cylindric partitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601019","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:d248795bb3f2c7cd39d36250f5a1cc60ec454e29f9653c3a58f95dac7072645a","target":"record","created_at":"2026-07-04T14:52:45Z","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":"976e0f566a153e5b5e900051d1350a52b3534f7ae4c517f8ee1bb46997746e92","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.CO","submitted_at":"2006-01-01T23:07:18Z","title_canon_sha256":"77dcd4e40935a4b15bd6bb1850a80cab1c36717e48b60f9fdde77271814fffa7"},"schema_version":"1.0","source":{"id":"math/0601019","kind":"arxiv","version":1}},"canonical_sha256":"fe2f6355b65618b18554623c59c75fb12b4ff0a0e3c4ee9ae0380b85f7ca55dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe2f6355b65618b18554623c59c75fb12b4ff0a0e3c4ee9ae0380b85f7ca55dd","first_computed_at":"2026-07-04T14:52:45.892163Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:52:45.892163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZIHMSGBaHLkwz6StQv8/lYzuNMfI6rOG1iLqYZD11Nyy6G39h2KieZsiWH1zM4oy57YJrE0vLoxLEva758JRBA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:52:45.892583Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0601019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d248795bb3f2c7cd39d36250f5a1cc60ec454e29f9653c3a58f95dac7072645a","sha256:9dcf394d043bc0d9aa59a7b58fb0d7457ca993ff6363e66d49aa55d5c4bd0d9d"],"state_sha256":"0416a1cdd0bad3b59f4285c73b969fc2498940372f7baf9f07912b38db2a0838"}