{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:VTJ4H7TIFAJGLNGVT6EKNPIOHU","short_pith_number":"pith:VTJ4H7TI","canonical_record":{"source":{"id":"0901.4520","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-01-28T18:18:56Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3adba9d9c3f49e37cd95e952de7ecca0020f47ad76e41c92ea8c5a4ffb8f019a","abstract_canon_sha256":"c2fc671b13d6889955fa978cdb26c58c66d59d11b801ed2ba002662c380ca2e5"},"schema_version":"1.0"},"canonical_sha256":"acd3c3fe68281265b4d59f88a6bd0e3d3e688e0283bca26e43264a2b16285afa","source":{"kind":"arxiv","id":"0901.4520","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.4520","created_at":"2026-05-18T02:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"0901.4520v1","created_at":"2026-05-18T02:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4520","created_at":"2026-05-18T02:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"VTJ4H7TIFAJG","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VTJ4H7TIFAJGLNGV","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VTJ4H7TI","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:VTJ4H7TIFAJGLNGVT6EKNPIOHU","target":"record","payload":{"canonical_record":{"source":{"id":"0901.4520","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-01-28T18:18:56Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3adba9d9c3f49e37cd95e952de7ecca0020f47ad76e41c92ea8c5a4ffb8f019a","abstract_canon_sha256":"c2fc671b13d6889955fa978cdb26c58c66d59d11b801ed2ba002662c380ca2e5"},"schema_version":"1.0"},"canonical_sha256":"acd3c3fe68281265b4d59f88a6bd0e3d3e688e0283bca26e43264a2b16285afa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:01.589425Z","signature_b64":"52xVawVojYwQHe/V+x/DV7p6Ve3RUUW2G5YO28QexXKH/4Nup8iT599Lb7LpYk7ujBJy+vbHmtKmcIkdj+rmAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acd3c3fe68281265b4d59f88a6bd0e3d3e688e0283bca26e43264a2b16285afa","last_reissued_at":"2026-05-18T02:35:01.588066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:01.588066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.4520","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":"2026-05-18T02:35:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FkLKBMcKmnBWCAG6wutswHANmqwH5nNd1k4v8E/Mb+DyBVepCnVOgpbRkWE85tj3cuiiSOWaA2DwyNXxpiSBBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:16:25.808563Z"},"content_sha256":"f23e12238823c1f419dd100db5bcfc216d341591f687deb6c426f470b6e81bae","schema_version":"1.0","event_id":"sha256:f23e12238823c1f419dd100db5bcfc216d341591f687deb6c426f470b6e81bae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:VTJ4H7TIFAJGLNGVT6EKNPIOHU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universality of the Pearcey process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Mark Adler, Nicolas Orantin, Pierre van Moerbeke","submitted_at":"2009-01-28T18:18:56Z","abstract_excerpt":"Consider non-intersecting Brownian motions on the line leaving from the origin and forced to two arbitrary points. Letting the number of Brownian particles tend to infinity, and upon rescaling, there is a point of bifurcation, where the support of the density of particles goes from one interval to two intervals. In this paper, we show that at that very point of bifurcation a cusp appears, near which the Brownian paths fluctuate like the Pearcey process. This is a universality result within this class of problems. Tracy and Widom obtained such a result in the symmetric case, when the two target"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4520","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":"2026-05-18T02:35:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zqlE5QBBDFF0vBwg8J0ms+BJRhfCVGeV4HW678Ni8eJSPRU5x7O5GO9k12Y28m2wtMpag9Iwne/4Uvz1a9/aCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:16:25.808899Z"},"content_sha256":"14024377d280ff7529ba593cece402cce80688b0172de4268f47dd06010a2061","schema_version":"1.0","event_id":"sha256:14024377d280ff7529ba593cece402cce80688b0172de4268f47dd06010a2061"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VTJ4H7TIFAJGLNGVT6EKNPIOHU/bundle.json","state_url":"https://pith.science/pith/VTJ4H7TIFAJGLNGVT6EKNPIOHU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VTJ4H7TIFAJGLNGVT6EKNPIOHU/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":"2026-06-03T02:16:25Z","links":{"resolver":"https://pith.science/pith/VTJ4H7TIFAJGLNGVT6EKNPIOHU","bundle":"https://pith.science/pith/VTJ4H7TIFAJGLNGVT6EKNPIOHU/bundle.json","state":"https://pith.science/pith/VTJ4H7TIFAJGLNGVT6EKNPIOHU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VTJ4H7TIFAJGLNGVT6EKNPIOHU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:VTJ4H7TIFAJGLNGVT6EKNPIOHU","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":"c2fc671b13d6889955fa978cdb26c58c66d59d11b801ed2ba002662c380ca2e5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-01-28T18:18:56Z","title_canon_sha256":"3adba9d9c3f49e37cd95e952de7ecca0020f47ad76e41c92ea8c5a4ffb8f019a"},"schema_version":"1.0","source":{"id":"0901.4520","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.4520","created_at":"2026-05-18T02:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"0901.4520v1","created_at":"2026-05-18T02:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4520","created_at":"2026-05-18T02:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"VTJ4H7TIFAJG","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VTJ4H7TIFAJGLNGV","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VTJ4H7TI","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:14024377d280ff7529ba593cece402cce80688b0172de4268f47dd06010a2061","target":"graph","created_at":"2026-05-18T02:35:01Z","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":"Consider non-intersecting Brownian motions on the line leaving from the origin and forced to two arbitrary points. Letting the number of Brownian particles tend to infinity, and upon rescaling, there is a point of bifurcation, where the support of the density of particles goes from one interval to two intervals. In this paper, we show that at that very point of bifurcation a cusp appears, near which the Brownian paths fluctuate like the Pearcey process. This is a universality result within this class of problems. Tracy and Widom obtained such a result in the symmetric case, when the two target","authors_text":"Mark Adler, Nicolas Orantin, Pierre van Moerbeke","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-01-28T18:18:56Z","title":"Universality of the Pearcey process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4520","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:f23e12238823c1f419dd100db5bcfc216d341591f687deb6c426f470b6e81bae","target":"record","created_at":"2026-05-18T02:35:01Z","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":"c2fc671b13d6889955fa978cdb26c58c66d59d11b801ed2ba002662c380ca2e5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-01-28T18:18:56Z","title_canon_sha256":"3adba9d9c3f49e37cd95e952de7ecca0020f47ad76e41c92ea8c5a4ffb8f019a"},"schema_version":"1.0","source":{"id":"0901.4520","kind":"arxiv","version":1}},"canonical_sha256":"acd3c3fe68281265b4d59f88a6bd0e3d3e688e0283bca26e43264a2b16285afa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acd3c3fe68281265b4d59f88a6bd0e3d3e688e0283bca26e43264a2b16285afa","first_computed_at":"2026-05-18T02:35:01.588066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:01.588066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"52xVawVojYwQHe/V+x/DV7p6Ve3RUUW2G5YO28QexXKH/4Nup8iT599Lb7LpYk7ujBJy+vbHmtKmcIkdj+rmAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:01.589425Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.4520","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f23e12238823c1f419dd100db5bcfc216d341591f687deb6c426f470b6e81bae","sha256:14024377d280ff7529ba593cece402cce80688b0172de4268f47dd06010a2061"],"state_sha256":"9e143a50d508fe7967686af80d7f2ea3b244ed488cce1a548744680162eb5279"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sBUqTTPfU2prd1mpwhwnzxZz6pX0+kW1aa1cKGV9T/KU/fiZfhM+HUwdBM436pp8Dz3ueHav1hFmo/ZWZAYWCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T02:16:25.810778Z","bundle_sha256":"66e0f3f38bdb39561a4a364b6f28665637751fb392249b23491c49c3fe399746"}}