{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:2F63LXG7ZKUZJN5L554ZI44N6S","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":"eacfb792bc49c3b95958d4cba321e7f877e7dbc0da04b791e1a5c38d2bec686f","cross_cats_sorted":["math-ph","math.CA","math.FA","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-03-24T23:17:05Z","title_canon_sha256":"2bdc78fbcd4300df30fe041413b3dae3f601dcfae3d37db0aa6a6d87710ad9a3"},"schema_version":"1.0","source":{"id":"2403.16325","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.16325","created_at":"2026-07-05T08:02:25Z"},{"alias_kind":"arxiv_version","alias_value":"2403.16325v2","created_at":"2026-07-05T08:02:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.16325","created_at":"2026-07-05T08:02:25Z"},{"alias_kind":"pith_short_12","alias_value":"2F63LXG7ZKUZ","created_at":"2026-07-05T08:02:25Z"},{"alias_kind":"pith_short_16","alias_value":"2F63LXG7ZKUZJN5L","created_at":"2026-07-05T08:02:25Z"},{"alias_kind":"pith_short_8","alias_value":"2F63LXG7","created_at":"2026-07-05T08:02:25Z"}],"graph_snapshots":[{"event_id":"sha256:14e1ec9f7a885309ab59ba7b92b9538a876bd485eaf2e2c435c23bfd738e8240","target":"graph","created_at":"2026-07-05T08:02:25Z","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/2403.16325/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define the accumulated spectrogram associated to a locally trace class orthogonal projection operator and to a bounded set using the polar decomposition of its restriction on that set and prove a convergence theorem for accumulated spectrograms along an exhaustion in the case when the corresponding determinantal point process is hyperuniform. We prove that a radial determinantal point process on Rd is always hyperuniform along the exhaustion formed by the dilations of a bounded open set, and as a consequence, we obtain that dilations of the corresponding accumulated spectrogram converge to ","authors_text":"Makoto Katori, Pierre Lazag, Tomoyuki Shirai","cross_cats":["math-ph","math.CA","math.FA","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-03-24T23:17:05Z","title":"Accumulated spectrograms for hyperuniform determinantal point processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.16325","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":"sha256:8611b5e64ab47e32fb5d8d10e116d4dea93c1fa72e0281c0485330c572aef0aa","target":"record","created_at":"2026-07-05T08:02:25Z","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":"eacfb792bc49c3b95958d4cba321e7f877e7dbc0da04b791e1a5c38d2bec686f","cross_cats_sorted":["math-ph","math.CA","math.FA","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-03-24T23:17:05Z","title_canon_sha256":"2bdc78fbcd4300df30fe041413b3dae3f601dcfae3d37db0aa6a6d87710ad9a3"},"schema_version":"1.0","source":{"id":"2403.16325","kind":"arxiv","version":2}},"canonical_sha256":"d17db5dcdfcaa994b7abef7994738df48c460412c3b4d031ea0db39834b693df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d17db5dcdfcaa994b7abef7994738df48c460412c3b4d031ea0db39834b693df","first_computed_at":"2026-07-05T08:02:25.580235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:02:25.580235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cEkdF68mW87mqfN0ERQZQUGmZxdBT9Gu4KYZNvu96S1QWD4xIdFyt05odo2XD+JSNoCqSdQz1LoXlNv1wPj9DA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:02:25.580738Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.16325","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8611b5e64ab47e32fb5d8d10e116d4dea93c1fa72e0281c0485330c572aef0aa","sha256:14e1ec9f7a885309ab59ba7b92b9538a876bd485eaf2e2c435c23bfd738e8240"],"state_sha256":"c87cdda8272f980df1b303052d70ab62664dc9b632f76cb790e2d117461e1305"}