{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:WX445Q6SE5EFAJB2H6TO5OQHBJ","short_pith_number":"pith:WX445Q6S","canonical_record":{"source":{"id":"2207.02319","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2022-07-05T21:19:04Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"f4026e815b1c5cc80ae5d57ab117a6ae196e41c491dfe841ae1c6447ea84ea3e","abstract_canon_sha256":"7306f7f836b8316345db870ee5dc1a291bf2fc90b7a1c56685951fe8a7576e78"},"schema_version":"1.0"},"canonical_sha256":"b5f9cec3d2274850243a3fa6eeba070a6dd1a816cdde1aff30279babd8cefa3b","source":{"kind":"arxiv","id":"2207.02319","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.02319","created_at":"2026-07-05T10:38:29Z"},{"alias_kind":"arxiv_version","alias_value":"2207.02319v3","created_at":"2026-07-05T10:38:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.02319","created_at":"2026-07-05T10:38:29Z"},{"alias_kind":"pith_short_12","alias_value":"WX445Q6SE5EF","created_at":"2026-07-05T10:38:29Z"},{"alias_kind":"pith_short_16","alias_value":"WX445Q6SE5EFAJB2","created_at":"2026-07-05T10:38:29Z"},{"alias_kind":"pith_short_8","alias_value":"WX445Q6S","created_at":"2026-07-05T10:38:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:WX445Q6SE5EFAJB2H6TO5OQHBJ","target":"record","payload":{"canonical_record":{"source":{"id":"2207.02319","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2022-07-05T21:19:04Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"f4026e815b1c5cc80ae5d57ab117a6ae196e41c491dfe841ae1c6447ea84ea3e","abstract_canon_sha256":"7306f7f836b8316345db870ee5dc1a291bf2fc90b7a1c56685951fe8a7576e78"},"schema_version":"1.0"},"canonical_sha256":"b5f9cec3d2274850243a3fa6eeba070a6dd1a816cdde1aff30279babd8cefa3b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:38:29.645582Z","signature_b64":"Rr2Py3Xvvq5KGaI7PWjmilWsSmb33vJ8d4GDJmTyaKQwsQ2XBjxO8bkxYXDAA/YjO0uzhEydy6IiFSES+pssCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5f9cec3d2274850243a3fa6eeba070a6dd1a816cdde1aff30279babd8cefa3b","last_reissued_at":"2026-07-05T10:38:29.645007Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:38:29.645007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.02319","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:38:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lb4o54cfh2FFDGMAR+FzxIW+IW7EmCSPoyOuzEcvU6N+H7sRI5MgbUgwdgy6s7yphL2iVNwlS52LyVoWf0vhBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:52:07.593052Z"},"content_sha256":"d2f4b734bab2ad974adf455e74dccb31e5672cf74a3d1bfbe7589a3ca1e0ae04","schema_version":"1.0","event_id":"sha256:d2f4b734bab2ad974adf455e74dccb31e5672cf74a3d1bfbe7589a3ca1e0ae04"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:WX445Q6SE5EFAJB2H6TO5OQHBJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Permutons, meanders, and SLE-decorated Liouville quantum gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.PR","authors_text":"Ewain Gwynne, Jacopo Borga, Xin Sun","submitted_at":"2022-07-05T21:19:04Z","abstract_excerpt":"We study a class of random permutons which can be constructed from a pair of space-filling Schramm-Loewner evolution (SLE) curves on a Liouville quantum gravity (LQG) surface. This class includes the skew Brownian permutons introduced by Borga (2021), which describe the scaling limit of various types of random pattern-avoiding permutations. Another interesting permuton in our class is the meandric permuton, which corresponds to two independent SLE$_8$ curves on a $\\gamma$-LQG surface with $\\gamma = \\sqrt{\\frac13 \\left( 17 - \\sqrt{145} \\right)}$. Building on work by Di Francesco, Golinelli, and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.02319","kind":"arxiv","version":3},"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/2207.02319/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":"2026-07-05T10:38:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7piG/v2lsjNnewifNGbhQ+Q2y66lPCB3zceOBwaJFPPs/8q9ernOLm9qoQYGzD5yrNsjmnj/C4UxRYeKkC2NBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:52:07.593971Z"},"content_sha256":"dac146d0c18c4a4dab1f12d2e4cbfdb733c75aabdfb17454858d429a477bb35d","schema_version":"1.0","event_id":"sha256:dac146d0c18c4a4dab1f12d2e4cbfdb733c75aabdfb17454858d429a477bb35d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WX445Q6SE5EFAJB2H6TO5OQHBJ/bundle.json","state_url":"https://pith.science/pith/WX445Q6SE5EFAJB2H6TO5OQHBJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WX445Q6SE5EFAJB2H6TO5OQHBJ/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":"2026-08-12T09:52:07Z","links":{"resolver":"https://pith.science/pith/WX445Q6SE5EFAJB2H6TO5OQHBJ","bundle":"https://pith.science/pith/WX445Q6SE5EFAJB2H6TO5OQHBJ/bundle.json","state":"https://pith.science/pith/WX445Q6SE5EFAJB2H6TO5OQHBJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WX445Q6SE5EFAJB2H6TO5OQHBJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:WX445Q6SE5EFAJB2H6TO5OQHBJ","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":"7306f7f836b8316345db870ee5dc1a291bf2fc90b7a1c56685951fe8a7576e78","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2022-07-05T21:19:04Z","title_canon_sha256":"f4026e815b1c5cc80ae5d57ab117a6ae196e41c491dfe841ae1c6447ea84ea3e"},"schema_version":"1.0","source":{"id":"2207.02319","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.02319","created_at":"2026-07-05T10:38:29Z"},{"alias_kind":"arxiv_version","alias_value":"2207.02319v3","created_at":"2026-07-05T10:38:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.02319","created_at":"2026-07-05T10:38:29Z"},{"alias_kind":"pith_short_12","alias_value":"WX445Q6SE5EF","created_at":"2026-07-05T10:38:29Z"},{"alias_kind":"pith_short_16","alias_value":"WX445Q6SE5EFAJB2","created_at":"2026-07-05T10:38:29Z"},{"alias_kind":"pith_short_8","alias_value":"WX445Q6S","created_at":"2026-07-05T10:38:29Z"}],"graph_snapshots":[{"event_id":"sha256:dac146d0c18c4a4dab1f12d2e4cbfdb733c75aabdfb17454858d429a477bb35d","target":"graph","created_at":"2026-07-05T10:38:29Z","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/2207.02319/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a class of random permutons which can be constructed from a pair of space-filling Schramm-Loewner evolution (SLE) curves on a Liouville quantum gravity (LQG) surface. This class includes the skew Brownian permutons introduced by Borga (2021), which describe the scaling limit of various types of random pattern-avoiding permutations. Another interesting permuton in our class is the meandric permuton, which corresponds to two independent SLE$_8$ curves on a $\\gamma$-LQG surface with $\\gamma = \\sqrt{\\frac13 \\left( 17 - \\sqrt{145} \\right)}$. Building on work by Di Francesco, Golinelli, and","authors_text":"Ewain Gwynne, Jacopo Borga, Xin Sun","cross_cats":["math-ph","math.CO","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2022-07-05T21:19:04Z","title":"Permutons, meanders, and SLE-decorated Liouville quantum gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.02319","kind":"arxiv","version":3},"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:d2f4b734bab2ad974adf455e74dccb31e5672cf74a3d1bfbe7589a3ca1e0ae04","target":"record","created_at":"2026-07-05T10:38:29Z","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":"7306f7f836b8316345db870ee5dc1a291bf2fc90b7a1c56685951fe8a7576e78","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2022-07-05T21:19:04Z","title_canon_sha256":"f4026e815b1c5cc80ae5d57ab117a6ae196e41c491dfe841ae1c6447ea84ea3e"},"schema_version":"1.0","source":{"id":"2207.02319","kind":"arxiv","version":3}},"canonical_sha256":"b5f9cec3d2274850243a3fa6eeba070a6dd1a816cdde1aff30279babd8cefa3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5f9cec3d2274850243a3fa6eeba070a6dd1a816cdde1aff30279babd8cefa3b","first_computed_at":"2026-07-05T10:38:29.645007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:38:29.645007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rr2Py3Xvvq5KGaI7PWjmilWsSmb33vJ8d4GDJmTyaKQwsQ2XBjxO8bkxYXDAA/YjO0uzhEydy6IiFSES+pssCg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:38:29.645582Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.02319","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2f4b734bab2ad974adf455e74dccb31e5672cf74a3d1bfbe7589a3ca1e0ae04","sha256:dac146d0c18c4a4dab1f12d2e4cbfdb733c75aabdfb17454858d429a477bb35d"],"state_sha256":"5c44c5dc7dff63ab3a3b43b68bdcaf84c73a4827afdf3f168588fcc0bce4cb24"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GvB0tqpsF1UgaDbuMYEpjylVtW2EN3TRDq5ijdrVZvmDQWz6fcSrazFQkC9dTzzJG8loc0sp8rBhBkNdBZlOAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T09:52:07.604716Z","bundle_sha256":"fb69fb4bd9a1a41e912d6615b28a7f9818065628e1281ae29ca45833304d3a3c"}}