{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:A767PBB6CNKRB7HBOWGT2MPJTN","short_pith_number":"pith:A767PBB6","canonical_record":{"source":{"id":"2408.08445","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-08-15T22:48:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"973419a5dc8395bbdbf8a11c66df25f24673037e827e43880c02de760acb1f6b","abstract_canon_sha256":"e6deba0469319e4ff8da49091d0f186c15249b78251ede1b38e0b719592516ab"},"schema_version":"1.0"},"canonical_sha256":"07fdf7843e135510fce1758d3d31e99b42db524738f6e7e57ebc06ad62529976","source":{"kind":"arxiv","id":"2408.08445","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.08445","created_at":"2026-07-05T10:32:29Z"},{"alias_kind":"arxiv_version","alias_value":"2408.08445v2","created_at":"2026-07-05T10:32:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.08445","created_at":"2026-07-05T10:32:29Z"},{"alias_kind":"pith_short_12","alias_value":"A767PBB6CNKR","created_at":"2026-07-05T10:32:29Z"},{"alias_kind":"pith_short_16","alias_value":"A767PBB6CNKRB7HB","created_at":"2026-07-05T10:32:29Z"},{"alias_kind":"pith_short_8","alias_value":"A767PBB6","created_at":"2026-07-05T10:32:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:A767PBB6CNKRB7HBOWGT2MPJTN","target":"record","payload":{"canonical_record":{"source":{"id":"2408.08445","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-08-15T22:48:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"973419a5dc8395bbdbf8a11c66df25f24673037e827e43880c02de760acb1f6b","abstract_canon_sha256":"e6deba0469319e4ff8da49091d0f186c15249b78251ede1b38e0b719592516ab"},"schema_version":"1.0"},"canonical_sha256":"07fdf7843e135510fce1758d3d31e99b42db524738f6e7e57ebc06ad62529976","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:32:29.597418Z","signature_b64":"MqrYUXROxjJhPunZHERiA5zm0mgZ7gbA7Ya7J/eCGLvLaWOycW7oUMIsVrJQxaImVl513VIIsyY7UB/DVxEbBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07fdf7843e135510fce1758d3d31e99b42db524738f6e7e57ebc06ad62529976","last_reissued_at":"2026-07-05T10:32:29.596520Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:32:29.596520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.08445","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":"2026-07-05T10:32:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UYrvBF4d+jxlbGHuplTwRKvnws2nHq1Z3wFJzRFhLmq/XSYTWWvdyo7WwMZDFroMUk5Hka/S2oV8sujrmqC3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T04:12:08.932751Z"},"content_sha256":"8eecc6fdb7e62d7646ced862916c677daa0ce65e69b26ba04fcf4cac2a4920d6","schema_version":"1.0","event_id":"sha256:8eecc6fdb7e62d7646ced862916c677daa0ce65e69b26ba04fcf4cac2a4920d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:A767PBB6CNKRB7HBOWGT2MPJTN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Airy wanderer line ensembles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Evgeni Dimitrov","submitted_at":"2024-08-15T22:48:32Z","abstract_excerpt":"In (J. Stat. Phys. 132, 275-290, 2008) Borodin and P\\'ech\\'e introduced a generalization of the extended Airy kernel based on two infinite sets of parameters. For an arbitrary choice of parameters we construct determinantal point processes on $\\mathbb{R}^2$ for these generalized kernels. In addition, for a subset of the parameter space we show that the point processes can be lifted to line ensembles on $\\mathbb{R}$, which satisfy the Brownian Gibbs property. Our ensembles generalize the wanderer line ensembles introduced by Corwin and Hammond in (Invent. Math. 195, 441-508, 2014)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.08445","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.08445/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":"2026-07-05T10:32:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gdwYud7C921X1Qofemn+ZDHWJ93VpvIMT+hJkh62wMvOMAuM58Lahb/rrWX3Y9GWML/3i8YEOAXv75OtED3OAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T04:12:08.933675Z"},"content_sha256":"18fddf7a560d5a86c51220d7a87a411ac627fb1bdc73475cf3370d1d319789bb","schema_version":"1.0","event_id":"sha256:18fddf7a560d5a86c51220d7a87a411ac627fb1bdc73475cf3370d1d319789bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A767PBB6CNKRB7HBOWGT2MPJTN/bundle.json","state_url":"https://pith.science/pith/A767PBB6CNKRB7HBOWGT2MPJTN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A767PBB6CNKRB7HBOWGT2MPJTN/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":"2026-08-15T04:12:08Z","links":{"resolver":"https://pith.science/pith/A767PBB6CNKRB7HBOWGT2MPJTN","bundle":"https://pith.science/pith/A767PBB6CNKRB7HBOWGT2MPJTN/bundle.json","state":"https://pith.science/pith/A767PBB6CNKRB7HBOWGT2MPJTN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A767PBB6CNKRB7HBOWGT2MPJTN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:A767PBB6CNKRB7HBOWGT2MPJTN","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":"e6deba0469319e4ff8da49091d0f186c15249b78251ede1b38e0b719592516ab","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-08-15T22:48:32Z","title_canon_sha256":"973419a5dc8395bbdbf8a11c66df25f24673037e827e43880c02de760acb1f6b"},"schema_version":"1.0","source":{"id":"2408.08445","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.08445","created_at":"2026-07-05T10:32:29Z"},{"alias_kind":"arxiv_version","alias_value":"2408.08445v2","created_at":"2026-07-05T10:32:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.08445","created_at":"2026-07-05T10:32:29Z"},{"alias_kind":"pith_short_12","alias_value":"A767PBB6CNKR","created_at":"2026-07-05T10:32:29Z"},{"alias_kind":"pith_short_16","alias_value":"A767PBB6CNKRB7HB","created_at":"2026-07-05T10:32:29Z"},{"alias_kind":"pith_short_8","alias_value":"A767PBB6","created_at":"2026-07-05T10:32:29Z"}],"graph_snapshots":[{"event_id":"sha256:18fddf7a560d5a86c51220d7a87a411ac627fb1bdc73475cf3370d1d319789bb","target":"graph","created_at":"2026-07-05T10:32:29Z","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/2408.08445/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In (J. Stat. Phys. 132, 275-290, 2008) Borodin and P\\'ech\\'e introduced a generalization of the extended Airy kernel based on two infinite sets of parameters. For an arbitrary choice of parameters we construct determinantal point processes on $\\mathbb{R}^2$ for these generalized kernels. In addition, for a subset of the parameter space we show that the point processes can be lifted to line ensembles on $\\mathbb{R}$, which satisfy the Brownian Gibbs property. Our ensembles generalize the wanderer line ensembles introduced by Corwin and Hammond in (Invent. Math. 195, 441-508, 2014).","authors_text":"Evgeni Dimitrov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-08-15T22:48:32Z","title":"Airy wanderer line ensembles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.08445","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":"sha256:8eecc6fdb7e62d7646ced862916c677daa0ce65e69b26ba04fcf4cac2a4920d6","target":"record","created_at":"2026-07-05T10:32:29Z","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":"e6deba0469319e4ff8da49091d0f186c15249b78251ede1b38e0b719592516ab","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-08-15T22:48:32Z","title_canon_sha256":"973419a5dc8395bbdbf8a11c66df25f24673037e827e43880c02de760acb1f6b"},"schema_version":"1.0","source":{"id":"2408.08445","kind":"arxiv","version":2}},"canonical_sha256":"07fdf7843e135510fce1758d3d31e99b42db524738f6e7e57ebc06ad62529976","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07fdf7843e135510fce1758d3d31e99b42db524738f6e7e57ebc06ad62529976","first_computed_at":"2026-07-05T10:32:29.596520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:32:29.596520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MqrYUXROxjJhPunZHERiA5zm0mgZ7gbA7Ya7J/eCGLvLaWOycW7oUMIsVrJQxaImVl513VIIsyY7UB/DVxEbBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:32:29.597418Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.08445","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8eecc6fdb7e62d7646ced862916c677daa0ce65e69b26ba04fcf4cac2a4920d6","sha256:18fddf7a560d5a86c51220d7a87a411ac627fb1bdc73475cf3370d1d319789bb"],"state_sha256":"fa3dc126fb993e5bd54ebe54022e0ca8dec4c5ef95de7b66ca1598904f931c1c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uBwbo4py5hPlJySxRYxKRMLAW8Ok79l5A19TXeGWEy24Hot7z4QqiXF9a+q2bVvRppSez6k3y1T6y7BiJ+2JCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T04:12:08.940170Z","bundle_sha256":"407b70349c4984d6ff1e901ad3f3ed0cb2fc0510a4af1d5e9b53a27770580184"}}