{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BFQ6XXB6A5IJWW4MHJVZIW7NWI","short_pith_number":"pith:BFQ6XXB6","canonical_record":{"source":{"id":"1303.5279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-21T14:59:18Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"5e9d61f3052160b710c08018fbc9ec4f971761567a06baed2a2eaae0aa4ef5f0","abstract_canon_sha256":"e22ae05847beba9ec9e324f47c0bab1facf0e7a0e243044b170ef03059e75385"},"schema_version":"1.0"},"canonical_sha256":"0961ebdc3e07509b5b8c3a6b945bedb20e47d79ff3b13b9b76c4718df7884df4","source":{"kind":"arxiv","id":"1303.5279","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5279","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5279v1","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5279","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"pith_short_12","alias_value":"BFQ6XXB6A5IJ","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BFQ6XXB6A5IJWW4M","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BFQ6XXB6","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BFQ6XXB6A5IJWW4MHJVZIW7NWI","target":"record","payload":{"canonical_record":{"source":{"id":"1303.5279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-21T14:59:18Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"5e9d61f3052160b710c08018fbc9ec4f971761567a06baed2a2eaae0aa4ef5f0","abstract_canon_sha256":"e22ae05847beba9ec9e324f47c0bab1facf0e7a0e243044b170ef03059e75385"},"schema_version":"1.0"},"canonical_sha256":"0961ebdc3e07509b5b8c3a6b945bedb20e47d79ff3b13b9b76c4718df7884df4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:13.322337Z","signature_b64":"TcVO+gcx3A3RZtYTuFCqV28vVNWPzwMywSAqbPFSyinenBsSr+xcGz3nV6lCSMIPenhe/74HGIEROjBbM3NfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0961ebdc3e07509b5b8c3a6b945bedb20e47d79ff3b13b9b76c4718df7884df4","last_reissued_at":"2026-05-18T03:30:13.321589Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:13.321589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.5279","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":"2026-05-18T03:30:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"paUF/+UoKbKYaQvwZL+JVNmpvZeTO72D4rb7QWgk4ceIkb2fr82tXQb7zUhEYl8olClwebnNCQlIhFx6j5FRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T09:25:20.531359Z"},"content_sha256":"e8d8b4469f57f726f30ac745f334eee30dac9ef17c3bb23aa52faa6977a53353","schema_version":"1.0","event_id":"sha256:e8d8b4469f57f726f30ac745f334eee30dac9ef17c3bb23aa52faa6977a53353"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BFQ6XXB6A5IJWW4MHJVZIW7NWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tacnode GUE-minor Processes and Double Aztec Diamonds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.PR","authors_text":"Kurt Johansson, Mark Adler, Pierre van Moerbeke, Sunil Chhita","submitted_at":"2013-03-21T14:59:18Z","abstract_excerpt":"We study random domino tilings of a Double Aztec diamond, a region consisting of two overlapping Aztec diamonds. The random tilings give rise to two discrete determinantal point processes called the K-and L-particle processes. The correlation kernel of the K-particles was derived in Adler, Johansson and van Moerbeke (2011), who used it to study the limit process of the K-particles with different weights for horizontal and vertical dominos. Let the size of both, the Double Aztec diamond and the overlap, tend to infinity such that the two arctic ellipses just touch; then they show that the fluct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5279","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":""},"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":"2026-05-18T03:30:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JR9ZTc7b1A/LqQX/hcVGEheCkiPBmd0KA4n5t/Va6NpuTpgwgiE+Ce5WZ/p9NjWBGYvBjWrTmTFGOCDmW8rUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T09:25:20.531991Z"},"content_sha256":"aa8bdf58000419dee099cfaead6fad161fd6b1377316cf9e65bcfb7b9b491d13","schema_version":"1.0","event_id":"sha256:aa8bdf58000419dee099cfaead6fad161fd6b1377316cf9e65bcfb7b9b491d13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BFQ6XXB6A5IJWW4MHJVZIW7NWI/bundle.json","state_url":"https://pith.science/pith/BFQ6XXB6A5IJWW4MHJVZIW7NWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BFQ6XXB6A5IJWW4MHJVZIW7NWI/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":"2026-06-23T09:25:20Z","links":{"resolver":"https://pith.science/pith/BFQ6XXB6A5IJWW4MHJVZIW7NWI","bundle":"https://pith.science/pith/BFQ6XXB6A5IJWW4MHJVZIW7NWI/bundle.json","state":"https://pith.science/pith/BFQ6XXB6A5IJWW4MHJVZIW7NWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BFQ6XXB6A5IJWW4MHJVZIW7NWI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BFQ6XXB6A5IJWW4MHJVZIW7NWI","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":"e22ae05847beba9ec9e324f47c0bab1facf0e7a0e243044b170ef03059e75385","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-21T14:59:18Z","title_canon_sha256":"5e9d61f3052160b710c08018fbc9ec4f971761567a06baed2a2eaae0aa4ef5f0"},"schema_version":"1.0","source":{"id":"1303.5279","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5279","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5279v1","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5279","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"pith_short_12","alias_value":"BFQ6XXB6A5IJ","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BFQ6XXB6A5IJWW4M","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BFQ6XXB6","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:aa8bdf58000419dee099cfaead6fad161fd6b1377316cf9e65bcfb7b9b491d13","target":"graph","created_at":"2026-05-18T03:30:13Z","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 random domino tilings of a Double Aztec diamond, a region consisting of two overlapping Aztec diamonds. The random tilings give rise to two discrete determinantal point processes called the K-and L-particle processes. The correlation kernel of the K-particles was derived in Adler, Johansson and van Moerbeke (2011), who used it to study the limit process of the K-particles with different weights for horizontal and vertical dominos. Let the size of both, the Double Aztec diamond and the overlap, tend to infinity such that the two arctic ellipses just touch; then they show that the fluct","authors_text":"Kurt Johansson, Mark Adler, Pierre van Moerbeke, Sunil Chhita","cross_cats":["math-ph","math.CO","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-21T14:59:18Z","title":"Tacnode GUE-minor Processes and Double Aztec Diamonds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5279","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:e8d8b4469f57f726f30ac745f334eee30dac9ef17c3bb23aa52faa6977a53353","target":"record","created_at":"2026-05-18T03:30:13Z","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":"e22ae05847beba9ec9e324f47c0bab1facf0e7a0e243044b170ef03059e75385","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-21T14:59:18Z","title_canon_sha256":"5e9d61f3052160b710c08018fbc9ec4f971761567a06baed2a2eaae0aa4ef5f0"},"schema_version":"1.0","source":{"id":"1303.5279","kind":"arxiv","version":1}},"canonical_sha256":"0961ebdc3e07509b5b8c3a6b945bedb20e47d79ff3b13b9b76c4718df7884df4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0961ebdc3e07509b5b8c3a6b945bedb20e47d79ff3b13b9b76c4718df7884df4","first_computed_at":"2026-05-18T03:30:13.321589Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:13.321589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TcVO+gcx3A3RZtYTuFCqV28vVNWPzwMywSAqbPFSyinenBsSr+xcGz3nV6lCSMIPenhe/74HGIEROjBbM3NfBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:13.322337Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5279","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8d8b4469f57f726f30ac745f334eee30dac9ef17c3bb23aa52faa6977a53353","sha256:aa8bdf58000419dee099cfaead6fad161fd6b1377316cf9e65bcfb7b9b491d13"],"state_sha256":"6c078df49f43ab93907f5ab9485b0ec7018cce70ac39fe5f4aff5855be9efd98"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GEF7GHv40usiqxMTQxa7XeTTHx5HBIEB/UToy7EweDJ7oQ/F7lsn7tu3KKmOXD7i0Tn99zDp5h6AvE+pJzL1Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T09:25:20.534703Z","bundle_sha256":"2653ae455ba7d1faf3a0b8bc52d67f4b3823ceb0982812b8ae17b7a096b656ef"}}