{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:I2YT27TX6ENEE3NILO5QXTQ3RJ","short_pith_number":"pith:I2YT27TX","canonical_record":{"source":{"id":"1603.02707","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-08T21:19:04Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"aa46047ffe4194aa2518f99dfa182c9c94c407e9359d7ea11ad42d4d2c5a5024","abstract_canon_sha256":"1a72f29ccaad18628d7c985e028578b432182442e3acd312e6b173a37bd98f73"},"schema_version":"1.0"},"canonical_sha256":"46b13d7e77f11a426da85bbb0bce1b8a68786a7cb147c860c44316a5406b9e9b","source":{"kind":"arxiv","id":"1603.02707","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02707","created_at":"2026-05-18T00:27:10Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02707v2","created_at":"2026-05-18T00:27:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02707","created_at":"2026-05-18T00:27:10Z"},{"alias_kind":"pith_short_12","alias_value":"I2YT27TX6ENE","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"I2YT27TX6ENEE3NI","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"I2YT27TX","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:I2YT27TX6ENEE3NILO5QXTQ3RJ","target":"record","payload":{"canonical_record":{"source":{"id":"1603.02707","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-08T21:19:04Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"aa46047ffe4194aa2518f99dfa182c9c94c407e9359d7ea11ad42d4d2c5a5024","abstract_canon_sha256":"1a72f29ccaad18628d7c985e028578b432182442e3acd312e6b173a37bd98f73"},"schema_version":"1.0"},"canonical_sha256":"46b13d7e77f11a426da85bbb0bce1b8a68786a7cb147c860c44316a5406b9e9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:10.139066Z","signature_b64":"Ecfzx9Z1bg8Zs/03HWUkJENx1r/BLIi+P0cqI6npL25/gJVm0d68c7/d6797vDvlwriBmKUltRHF9GNQkbo+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46b13d7e77f11a426da85bbb0bce1b8a68786a7cb147c860c44316a5406b9e9b","last_reissued_at":"2026-05-18T00:27:10.138360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:10.138360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.02707","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":"2026-05-18T00:27:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O/G2viXmKEVOSmpu36zysujNf9T0Eb4L1zTR8nEaeaQ/AEcEZ/PwLt14JYkjXfUXay0QUrniQyUEmfDWHHZGCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:52:14.664874Z"},"content_sha256":"d026020fcc6987652d7f03e474897048640be7e5b63be74892c0a3a8595fb2b8","schema_version":"1.0","event_id":"sha256:d026020fcc6987652d7f03e474897048640be7e5b63be74892c0a3a8595fb2b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:I2YT27TX6ENEE3NILO5QXTQ3RJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bulk universality for random lozenge tilings near straight boundaries and for tensor products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"math.PR","authors_text":"Vadim Gorin","submitted_at":"2016-03-08T21:19:04Z","abstract_excerpt":"We prove that the asymptotic of the bulk local statistics in models of random lozenge tilings is universal in the vicinity of straight boundaries of the tiled domains. The result applies to uniformly random lozenge tilings of large polygonal domains on triangular lattice and to the probability measures describing the decomposition in Gelfand-Tsetlin bases of tensor products of representations of unitary groups. In a weaker form our theorem also applies to random domino tilings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02707","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":"2026-05-18T00:27:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oN6mxl+scZrOAQyZ/ze1+PsQK/bVg7h09ss6U87grxkv5O7Jzxl5AEFxwe6xkrD5gpymHap2ZDMg6rjL5OCeCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:52:14.665453Z"},"content_sha256":"aea86fcea254a78f0f4278a441f59710382a685b0d40bd8d5c3dd72a19ed4323","schema_version":"1.0","event_id":"sha256:aea86fcea254a78f0f4278a441f59710382a685b0d40bd8d5c3dd72a19ed4323"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I2YT27TX6ENEE3NILO5QXTQ3RJ/bundle.json","state_url":"https://pith.science/pith/I2YT27TX6ENEE3NILO5QXTQ3RJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I2YT27TX6ENEE3NILO5QXTQ3RJ/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":"2026-06-07T22:52:14Z","links":{"resolver":"https://pith.science/pith/I2YT27TX6ENEE3NILO5QXTQ3RJ","bundle":"https://pith.science/pith/I2YT27TX6ENEE3NILO5QXTQ3RJ/bundle.json","state":"https://pith.science/pith/I2YT27TX6ENEE3NILO5QXTQ3RJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I2YT27TX6ENEE3NILO5QXTQ3RJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:I2YT27TX6ENEE3NILO5QXTQ3RJ","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":"1a72f29ccaad18628d7c985e028578b432182442e3acd312e6b173a37bd98f73","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-08T21:19:04Z","title_canon_sha256":"aa46047ffe4194aa2518f99dfa182c9c94c407e9359d7ea11ad42d4d2c5a5024"},"schema_version":"1.0","source":{"id":"1603.02707","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02707","created_at":"2026-05-18T00:27:10Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02707v2","created_at":"2026-05-18T00:27:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02707","created_at":"2026-05-18T00:27:10Z"},{"alias_kind":"pith_short_12","alias_value":"I2YT27TX6ENE","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"I2YT27TX6ENEE3NI","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"I2YT27TX","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:aea86fcea254a78f0f4278a441f59710382a685b0d40bd8d5c3dd72a19ed4323","target":"graph","created_at":"2026-05-18T00:27:10Z","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 prove that the asymptotic of the bulk local statistics in models of random lozenge tilings is universal in the vicinity of straight boundaries of the tiled domains. The result applies to uniformly random lozenge tilings of large polygonal domains on triangular lattice and to the probability measures describing the decomposition in Gelfand-Tsetlin bases of tensor products of representations of unitary groups. In a weaker form our theorem also applies to random domino tilings.","authors_text":"Vadim Gorin","cross_cats":["math-ph","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-08T21:19:04Z","title":"Bulk universality for random lozenge tilings near straight boundaries and for tensor products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02707","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:d026020fcc6987652d7f03e474897048640be7e5b63be74892c0a3a8595fb2b8","target":"record","created_at":"2026-05-18T00:27:10Z","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":"1a72f29ccaad18628d7c985e028578b432182442e3acd312e6b173a37bd98f73","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-08T21:19:04Z","title_canon_sha256":"aa46047ffe4194aa2518f99dfa182c9c94c407e9359d7ea11ad42d4d2c5a5024"},"schema_version":"1.0","source":{"id":"1603.02707","kind":"arxiv","version":2}},"canonical_sha256":"46b13d7e77f11a426da85bbb0bce1b8a68786a7cb147c860c44316a5406b9e9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46b13d7e77f11a426da85bbb0bce1b8a68786a7cb147c860c44316a5406b9e9b","first_computed_at":"2026-05-18T00:27:10.138360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:10.138360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ecfzx9Z1bg8Zs/03HWUkJENx1r/BLIi+P0cqI6npL25/gJVm0d68c7/d6797vDvlwriBmKUltRHF9GNQkbo+DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:10.139066Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.02707","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d026020fcc6987652d7f03e474897048640be7e5b63be74892c0a3a8595fb2b8","sha256:aea86fcea254a78f0f4278a441f59710382a685b0d40bd8d5c3dd72a19ed4323"],"state_sha256":"5ca78aa898a3e76b3056e31ac86f06f534ba0ccf0e987cfa2f0d28162d273336"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pJ9D/mfVq+6CCe7OWoI7tlrltjd1QgZEZXRvz+sRxdTDe9EJ4igKdlKTu3Hh50qIFCRu4nj3rc1zLLFOaLYFDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T22:52:14.669115Z","bundle_sha256":"b02b519fd87752a260b38ff376683e9fc19ccf50595f6ca52dc546c92615653f"}}