{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KOHALXLW6HJNCAQ2PRXUIDKSJ7","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":"5ea8a34b4a5850667138b9d940ff198975b1e661cecc1a0e58c503691c952b3e","cross_cats_sorted":["math.ST","physics.app-ph","physics.data-an","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-06-15T08:28:24Z","title_canon_sha256":"55c4cb87bdb3e5de19b7fe06ad5eca33dbcc63ec3fe00dcefe108a66a26a48b6"},"schema_version":"1.0","source":{"id":"2606.16393","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.16393","created_at":"2026-06-23T02:12:51Z"},{"alias_kind":"arxiv_version","alias_value":"2606.16393v2","created_at":"2026-06-23T02:12:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.16393","created_at":"2026-06-23T02:12:51Z"},{"alias_kind":"pith_short_12","alias_value":"KOHALXLW6HJN","created_at":"2026-06-23T02:12:51Z"},{"alias_kind":"pith_short_16","alias_value":"KOHALXLW6HJNCAQ2","created_at":"2026-06-23T02:12:51Z"},{"alias_kind":"pith_short_8","alias_value":"KOHALXLW","created_at":"2026-06-23T02:12:51Z"}],"graph_snapshots":[{"event_id":"sha256:94e1483283a08fa79d466fcc1e161a3a0bf67f99900ea279fe14755371d07e4d","target":"graph","created_at":"2026-06-23T02:12:51Z","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/2606.16393/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Brody distribution, originally a phenomenological interpolation between Poisson and Wigner level-spacing statistics in quantum chaos, is calibrated here as a quantitative measure of short-range exclusion in 2D spatial point processes. Two results form the core. First, the 2D complete-spatial-randomness baseline is recalibrated to $\\beta=0.96\\pm0.15$, correcting the inappropriate 1D Poisson reference. Second, an empirical $\\beta$--$r_{\\text{excl}}$ calibration is validated against the effective hard-core radius with Spearman $\\rho=0.988$. The framework is demonstrated on 58 manufactured sur","authors_text":"Dawid Kucharski","cross_cats":["math.ST","physics.app-ph","physics.data-an","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-06-15T08:28:24Z","title":"Calibrating the Brody exponent as a quantitative measure of short-range exclusion in 2D spatial point processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.16393","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":"sha256:5d3b58bcba6e911cdba4a988d97a61905d69f4da27156077b97ac52f2d2e997a","target":"record","created_at":"2026-06-23T02:12:51Z","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":"5ea8a34b4a5850667138b9d940ff198975b1e661cecc1a0e58c503691c952b3e","cross_cats_sorted":["math.ST","physics.app-ph","physics.data-an","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-06-15T08:28:24Z","title_canon_sha256":"55c4cb87bdb3e5de19b7fe06ad5eca33dbcc63ec3fe00dcefe108a66a26a48b6"},"schema_version":"1.0","source":{"id":"2606.16393","kind":"arxiv","version":2}},"canonical_sha256":"538e05dd76f1d2d1021a7c6f440d524feab5a351916fed1e638ad87eb334e6e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"538e05dd76f1d2d1021a7c6f440d524feab5a351916fed1e638ad87eb334e6e5","first_computed_at":"2026-06-23T02:12:51.494955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T02:12:51.494955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BhcXBtvVk2ZWx1S2esRqYKNw3h4AcavX9pkelZxxN+3r5WrmOha5kxhAK2Tre5wW1Q+4pnHYQg+U4iPWTNUDAQ==","signature_status":"signed_v1","signed_at":"2026-06-23T02:12:51.495397Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.16393","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d3b58bcba6e911cdba4a988d97a61905d69f4da27156077b97ac52f2d2e997a","sha256:94e1483283a08fa79d466fcc1e161a3a0bf67f99900ea279fe14755371d07e4d"],"state_sha256":"c71996efa85c806bc568dde711d03c1f245ea7b88647fae51171d9dc4ad91a56"}