{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:IMNQJRGGHALWBTOFBTW43WCBTW","short_pith_number":"pith:IMNQJRGG","canonical_record":{"source":{"id":"2605.15744","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-05-15T08:54:12Z","cross_cats_sorted":["math-ph","math.MP","math.PR","math.RT"],"title_canon_sha256":"6769b1a354db60e158a14581f474c63a05a1e92a1573e710b57b4ea5ba1e1b2b","abstract_canon_sha256":"c4898863a7b4b047cb9c55576282077e24515fc44ff72b36da04f3ed95d30f1b"},"schema_version":"1.0"},"canonical_sha256":"431b04c4c6381760cdc50cedcdd8419da82672fa3c1d7f9afd0702917cd3999e","source":{"kind":"arxiv","id":"2605.15744","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.15744","created_at":"2026-05-20T00:01:15Z"},{"alias_kind":"arxiv_version","alias_value":"2605.15744v1","created_at":"2026-05-20T00:01:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15744","created_at":"2026-05-20T00:01:15Z"},{"alias_kind":"pith_short_12","alias_value":"IMNQJRGGHALW","created_at":"2026-05-20T00:01:15Z"},{"alias_kind":"pith_short_16","alias_value":"IMNQJRGGHALWBTOF","created_at":"2026-05-20T00:01:15Z"},{"alias_kind":"pith_short_8","alias_value":"IMNQJRGG","created_at":"2026-05-20T00:01:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:IMNQJRGGHALWBTOFBTW43WCBTW","target":"record","payload":{"canonical_record":{"source":{"id":"2605.15744","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-05-15T08:54:12Z","cross_cats_sorted":["math-ph","math.MP","math.PR","math.RT"],"title_canon_sha256":"6769b1a354db60e158a14581f474c63a05a1e92a1573e710b57b4ea5ba1e1b2b","abstract_canon_sha256":"c4898863a7b4b047cb9c55576282077e24515fc44ff72b36da04f3ed95d30f1b"},"schema_version":"1.0"},"canonical_sha256":"431b04c4c6381760cdc50cedcdd8419da82672fa3c1d7f9afd0702917cd3999e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:01:15.911956Z","signature_b64":"/mBah/qXyAHk3l3rBY76BcInHz6qDsKlHb82nc/stK2VsN7YoMEW+IMVN+jqDvowWpfJ8P+IxnoxBbaiueBvCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"431b04c4c6381760cdc50cedcdd8419da82672fa3c1d7f9afd0702917cd3999e","last_reissued_at":"2026-05-20T00:01:15.910937Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:01:15.910937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.15744","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":"2026-05-20T00:01:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vnvl1UqWTAaDkPpgKAp4jM8sGcziF9Dh2zui/TaD1QxE8tV9fw7AEekJpBZtu0rYHZlFhdLtdGPyj5+WP1OoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:58:19.139150Z"},"content_sha256":"a31dfaeccfbed14e7f50e7668d63996a040b355c58f7bd0839dd4bf979f5bff7","schema_version":"1.0","event_id":"sha256:a31dfaeccfbed14e7f50e7668d63996a040b355c58f7bd0839dd4bf979f5bff7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:IMNQJRGGHALWBTOFBTW43WCBTW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multicritical Scaling Limit of Shifted Schur Measure","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR","math.RT"],"primary_cat":"math.CO","authors_text":"Haruna Aida, Taro Kimura","submitted_at":"2026-05-15T08:54:12Z","abstract_excerpt":"We investigate the multicritical scaling limit of the shifted Schur measures. Under an appropriate scaling limit and specific conditions on the continuous parameters, we explicitly determine the limit shape of strict partitions distributed according to the shifted Schur measure. We then show that, under a multicritical condition, the edge scaling limit of the correlation function converges to a determinant of the higher-order Airy kernel. This rigorously demonstrates a transition from a Pfaffian point process to a determinantal distribution in the scaling limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.15744","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15744/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-19T19:33:23.892066Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T17:21:55.977005Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"f5669947fe8e02190193fd8c0942bdf9a2ac89cbb0a863786dd925cff053b255"},"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":"2026-05-20T00:01:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nEX/Oxr0NpEVk0Yi4cYU8bqfbFt6EOc90JMceshp9tkV2znN2wyn5zwMBVyV8/TeNLPa/rs+7MYMyDui8ITtCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:58:19.139796Z"},"content_sha256":"5aebb144811628768320a94808a7d25308064b9925fa179297c6955defed7672","schema_version":"1.0","event_id":"sha256:5aebb144811628768320a94808a7d25308064b9925fa179297c6955defed7672"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IMNQJRGGHALWBTOFBTW43WCBTW/bundle.json","state_url":"https://pith.science/pith/IMNQJRGGHALWBTOFBTW43WCBTW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IMNQJRGGHALWBTOFBTW43WCBTW/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":"2026-05-25T23:58:19Z","links":{"resolver":"https://pith.science/pith/IMNQJRGGHALWBTOFBTW43WCBTW","bundle":"https://pith.science/pith/IMNQJRGGHALWBTOFBTW43WCBTW/bundle.json","state":"https://pith.science/pith/IMNQJRGGHALWBTOFBTW43WCBTW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IMNQJRGGHALWBTOFBTW43WCBTW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IMNQJRGGHALWBTOFBTW43WCBTW","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":"c4898863a7b4b047cb9c55576282077e24515fc44ff72b36da04f3ed95d30f1b","cross_cats_sorted":["math-ph","math.MP","math.PR","math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-05-15T08:54:12Z","title_canon_sha256":"6769b1a354db60e158a14581f474c63a05a1e92a1573e710b57b4ea5ba1e1b2b"},"schema_version":"1.0","source":{"id":"2605.15744","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.15744","created_at":"2026-05-20T00:01:15Z"},{"alias_kind":"arxiv_version","alias_value":"2605.15744v1","created_at":"2026-05-20T00:01:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15744","created_at":"2026-05-20T00:01:15Z"},{"alias_kind":"pith_short_12","alias_value":"IMNQJRGGHALW","created_at":"2026-05-20T00:01:15Z"},{"alias_kind":"pith_short_16","alias_value":"IMNQJRGGHALWBTOF","created_at":"2026-05-20T00:01:15Z"},{"alias_kind":"pith_short_8","alias_value":"IMNQJRGG","created_at":"2026-05-20T00:01:15Z"}],"graph_snapshots":[{"event_id":"sha256:5aebb144811628768320a94808a7d25308064b9925fa179297c6955defed7672","target":"graph","created_at":"2026-05-20T00:01:15Z","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":[{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T19:33:23.892066Z","status":"skipped","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T17:21:55.977005Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.15744/integrity.json","findings":[],"snapshot_sha256":"f5669947fe8e02190193fd8c0942bdf9a2ac89cbb0a863786dd925cff053b255","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the multicritical scaling limit of the shifted Schur measures. Under an appropriate scaling limit and specific conditions on the continuous parameters, we explicitly determine the limit shape of strict partitions distributed according to the shifted Schur measure. We then show that, under a multicritical condition, the edge scaling limit of the correlation function converges to a determinant of the higher-order Airy kernel. This rigorously demonstrates a transition from a Pfaffian point process to a determinantal distribution in the scaling limit.","authors_text":"Haruna Aida, Taro Kimura","cross_cats":["math-ph","math.MP","math.PR","math.RT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-05-15T08:54:12Z","title":"Multicritical Scaling Limit of Shifted Schur Measure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.15744","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:a31dfaeccfbed14e7f50e7668d63996a040b355c58f7bd0839dd4bf979f5bff7","target":"record","created_at":"2026-05-20T00:01:15Z","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":"c4898863a7b4b047cb9c55576282077e24515fc44ff72b36da04f3ed95d30f1b","cross_cats_sorted":["math-ph","math.MP","math.PR","math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-05-15T08:54:12Z","title_canon_sha256":"6769b1a354db60e158a14581f474c63a05a1e92a1573e710b57b4ea5ba1e1b2b"},"schema_version":"1.0","source":{"id":"2605.15744","kind":"arxiv","version":1}},"canonical_sha256":"431b04c4c6381760cdc50cedcdd8419da82672fa3c1d7f9afd0702917cd3999e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"431b04c4c6381760cdc50cedcdd8419da82672fa3c1d7f9afd0702917cd3999e","first_computed_at":"2026-05-20T00:01:15.910937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:15.910937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/mBah/qXyAHk3l3rBY76BcInHz6qDsKlHb82nc/stK2VsN7YoMEW+IMVN+jqDvowWpfJ8P+IxnoxBbaiueBvCg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:15.911956Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15744","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a31dfaeccfbed14e7f50e7668d63996a040b355c58f7bd0839dd4bf979f5bff7","sha256:5aebb144811628768320a94808a7d25308064b9925fa179297c6955defed7672"],"state_sha256":"02622e57aa5a6167093a3f2621ad2ed14a020200b4041327e3f6473070d23534"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dyb7lcmfLKjRdQQ+/dpTjgPirGlZ2ugZbWLNATpIxF9nIucmVr6+IsLOi5UyDPGZBpaFAh8RR9e8Qx69Hhl+Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:58:19.143734Z","bundle_sha256":"82675c7e7bf3abcda4fe89f72fd8dcf98e8fd316650634eb5b7f58e7f74a51fe"}}