{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:M5BTXLFZHIVSAYKDDDYTLX2VYU","short_pith_number":"pith:M5BTXLFZ","canonical_record":{"source":{"id":"1001.2180","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-13T14:39:58Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"d41c31e213d0cbafa956bb3479180efbb3acbcf5d898b2771280113707e49ee4","abstract_canon_sha256":"56afd523971e20c50e3a6ca63a117cd8fae63b428ee6930d419eb896d939a411"},"schema_version":"1.0"},"canonical_sha256":"67433bacb93a2b20614318f135df55c50e3b9c799b66e0c711d2ef1a827dfcf9","source":{"kind":"arxiv","id":"1001.2180","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2180","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2180v2","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2180","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"pith_short_12","alias_value":"M5BTXLFZHIVS","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"M5BTXLFZHIVSAYKD","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"M5BTXLFZ","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:M5BTXLFZHIVSAYKDDDYTLX2VYU","target":"record","payload":{"canonical_record":{"source":{"id":"1001.2180","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-13T14:39:58Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"d41c31e213d0cbafa956bb3479180efbb3acbcf5d898b2771280113707e49ee4","abstract_canon_sha256":"56afd523971e20c50e3a6ca63a117cd8fae63b428ee6930d419eb896d939a411"},"schema_version":"1.0"},"canonical_sha256":"67433bacb93a2b20614318f135df55c50e3b9c799b66e0c711d2ef1a827dfcf9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:24.450005Z","signature_b64":"CLJZQu+IzZa462pbkVLIYQqnTWPuSs6EKQie9Z5ImBPaSDpeiJTz7ih4gLmdcppxpQbPB8pSCqhYSvWyBPP7Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67433bacb93a2b20614318f135df55c50e3b9c799b66e0c711d2ef1a827dfcf9","last_reissued_at":"2026-05-18T03:56:24.449020Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:24.449020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.2180","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":"2026-05-18T03:56:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t7G3Eh+dskLvKDD/xEVhzh9t8RManklQ1spb8pdVZOBmUZ8sQ9OUIVgQPOned7L/7yYtiTkGPHc81bZnZBNZCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:27:07.356460Z"},"content_sha256":"6afc3f6dfd3035503899801120a314cca0678af92f0ccc6070763cb08bdde4aa","schema_version":"1.0","event_id":"sha256:6afc3f6dfd3035503899801120a314cca0678af92f0ccc6070763cb08bdde4aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:M5BTXLFZHIVSAYKDDDYTLX2VYU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotics of q-Plancherel measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.RT","authors_text":"Pierre-Lo\\\"ic M\\'eliot (LIGM), Valentin Feray (LaBRI)","submitted_at":"2010-01-13T14:39:58Z","abstract_excerpt":"In this paper, we are interested in the asymptotic size of rows and columns of a random Young diagram under a natural deformation of the Plancherel measure coming from Hecke algebras. The first lines of such diagrams are typically of order $n$, so it does not fit in the context studied by P. Biane and P. \\'Sniady. Using the theory of polynomial functions on Young diagrams of Kerov and Olshanski, we are able to compute explicitly the first- and second-order asymptotics of the length of the first rows. Our method works also for other measures, for instance those coming from Schur-Weyl representa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2180","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":""},"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":"2026-05-18T03:56:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ZqL/SvINVo93LM1x9aNRn+xm1nYCp94BYbYRI75QELyt/nnMkFUewjNtogTvNzzAzZG2VUaqKehQLYhzfybDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:27:07.356796Z"},"content_sha256":"d77cde59a5b18cad7afabd56ccf86b217606eb1aee2336d7e65342164b6dbb8a","schema_version":"1.0","event_id":"sha256:d77cde59a5b18cad7afabd56ccf86b217606eb1aee2336d7e65342164b6dbb8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M5BTXLFZHIVSAYKDDDYTLX2VYU/bundle.json","state_url":"https://pith.science/pith/M5BTXLFZHIVSAYKDDDYTLX2VYU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M5BTXLFZHIVSAYKDDDYTLX2VYU/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":"2026-06-27T03:27:07Z","links":{"resolver":"https://pith.science/pith/M5BTXLFZHIVSAYKDDDYTLX2VYU","bundle":"https://pith.science/pith/M5BTXLFZHIVSAYKDDDYTLX2VYU/bundle.json","state":"https://pith.science/pith/M5BTXLFZHIVSAYKDDDYTLX2VYU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M5BTXLFZHIVSAYKDDDYTLX2VYU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:M5BTXLFZHIVSAYKDDDYTLX2VYU","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":"56afd523971e20c50e3a6ca63a117cd8fae63b428ee6930d419eb896d939a411","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-13T14:39:58Z","title_canon_sha256":"d41c31e213d0cbafa956bb3479180efbb3acbcf5d898b2771280113707e49ee4"},"schema_version":"1.0","source":{"id":"1001.2180","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2180","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2180v2","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2180","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"pith_short_12","alias_value":"M5BTXLFZHIVS","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"M5BTXLFZHIVSAYKD","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"M5BTXLFZ","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:d77cde59a5b18cad7afabd56ccf86b217606eb1aee2336d7e65342164b6dbb8a","target":"graph","created_at":"2026-05-18T03:56:24Z","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":"In this paper, we are interested in the asymptotic size of rows and columns of a random Young diagram under a natural deformation of the Plancherel measure coming from Hecke algebras. The first lines of such diagrams are typically of order $n$, so it does not fit in the context studied by P. Biane and P. \\'Sniady. Using the theory of polynomial functions on Young diagrams of Kerov and Olshanski, we are able to compute explicitly the first- and second-order asymptotics of the length of the first rows. Our method works also for other measures, for instance those coming from Schur-Weyl representa","authors_text":"Pierre-Lo\\\"ic M\\'eliot (LIGM), Valentin Feray (LaBRI)","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-13T14:39:58Z","title":"Asymptotics of q-Plancherel measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2180","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":"sha256:6afc3f6dfd3035503899801120a314cca0678af92f0ccc6070763cb08bdde4aa","target":"record","created_at":"2026-05-18T03:56:24Z","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":"56afd523971e20c50e3a6ca63a117cd8fae63b428ee6930d419eb896d939a411","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-13T14:39:58Z","title_canon_sha256":"d41c31e213d0cbafa956bb3479180efbb3acbcf5d898b2771280113707e49ee4"},"schema_version":"1.0","source":{"id":"1001.2180","kind":"arxiv","version":2}},"canonical_sha256":"67433bacb93a2b20614318f135df55c50e3b9c799b66e0c711d2ef1a827dfcf9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67433bacb93a2b20614318f135df55c50e3b9c799b66e0c711d2ef1a827dfcf9","first_computed_at":"2026-05-18T03:56:24.449020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:24.449020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CLJZQu+IzZa462pbkVLIYQqnTWPuSs6EKQie9Z5ImBPaSDpeiJTz7ih4gLmdcppxpQbPB8pSCqhYSvWyBPP7Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:24.450005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.2180","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6afc3f6dfd3035503899801120a314cca0678af92f0ccc6070763cb08bdde4aa","sha256:d77cde59a5b18cad7afabd56ccf86b217606eb1aee2336d7e65342164b6dbb8a"],"state_sha256":"4892cd5af81eb60f69d5d5ed2afbe8c8fe8c2385b8f71928be93ec6ae69cf9dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9tMCJ00+eLlTiGTrJELa+YtVmIIBgVcUSLgCtpCTeNN+nhISDYPF6C+7/OnHFAVgYHzka6jNoibg0Tmd/2ARAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T03:27:07.358691Z","bundle_sha256":"7ba0d2dc6be63cbeef02a6bb2a4c4767f856609656d54509d3930818ac4d3c74"}}