{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:L6H3A6UTBHB7MTESRVIZIMIODF","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":"e9f09438e0c7312a14adb600b05285b8437d3417780dad6addcee9dd03930108","cross_cats_sorted":["math.CV","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-12T11:53:13Z","title_canon_sha256":"5f0542458cb74e959a27782835ae16abeed839b0a5f66a1eefea193b635725e5"},"schema_version":"1.0","source":{"id":"1706.03579","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03579","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03579v4","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03579","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"pith_short_12","alias_value":"L6H3A6UTBHB7","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L6H3A6UTBHB7MTES","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L6H3A6UT","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:302536df82aa9dba8f9334d6bb9deea0b3deb8f36266a46dbd61f5b056d5c779","target":"graph","created_at":"2026-05-18T00:22:29Z","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"},"paper":{"abstract_excerpt":"We obtain asymptotics of large Hankel determinants whose weight depends on a one-cut regular potential and any number of Fisher-Hartwig singularities. This generalises two results: 1) a result of Berestycki, Webb and Wong [5] for root-type singularities, and 2) a result of Its and Krasovsky [37] for a Gaussian weight with a single jump-type singularity. We show that when we apply a piecewise constant thinning on the eigenvalues of a random Hermitian matrix drawn from a one-cut regular ensemble, the gap probability in the thinned spectrum, as well as correlations of the characteristic polynomia","authors_text":"Christophe Charlier","cross_cats":["math.CV","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-12T11:53:13Z","title":"Asymptotics of Hankel determinants with a one-cut regular potential and Fisher-Hartwig singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03579","kind":"arxiv","version":4},"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:ae915545f8bd92a7a4e19dde022c3bb929b11ab02c379ab3715232f66dea73c0","target":"record","created_at":"2026-05-18T00:22:29Z","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":"e9f09438e0c7312a14adb600b05285b8437d3417780dad6addcee9dd03930108","cross_cats_sorted":["math.CV","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-12T11:53:13Z","title_canon_sha256":"5f0542458cb74e959a27782835ae16abeed839b0a5f66a1eefea193b635725e5"},"schema_version":"1.0","source":{"id":"1706.03579","kind":"arxiv","version":4}},"canonical_sha256":"5f8fb07a9309c3f64c928d5194310e197fa737cf845f5a28ec433b5484cd9ff4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f8fb07a9309c3f64c928d5194310e197fa737cf845f5a28ec433b5484cd9ff4","first_computed_at":"2026-05-18T00:22:29.089007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:29.089007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LeXXsBDvNZQc/L7Y1hONBXTGWKxHhi7Wr9AYq8N8QPLP+pgR3rupoY59JXfBiWNaxuEENBWx4T47IOb5aUcuDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:29.089874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.03579","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae915545f8bd92a7a4e19dde022c3bb929b11ab02c379ab3715232f66dea73c0","sha256:302536df82aa9dba8f9334d6bb9deea0b3deb8f36266a46dbd61f5b056d5c779"],"state_sha256":"fddf51de190ebe23fd3e9234aabbefd5ffbf72fefba40b30bbea7e1b9e23faf4"}