{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:KOHALXLW6HJNCAQ2PRXUIDKSJ7","short_pith_number":"pith:KOHALXLW","canonical_record":{"source":{"id":"2606.16393","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-06-15T08:28:24Z","cross_cats_sorted":["math.ST","physics.app-ph","physics.data-an","stat.TH"],"title_canon_sha256":"55c4cb87bdb3e5de19b7fe06ad5eca33dbcc63ec3fe00dcefe108a66a26a48b6","abstract_canon_sha256":"5ea8a34b4a5850667138b9d940ff198975b1e661cecc1a0e58c503691c952b3e"},"schema_version":"1.0"},"canonical_sha256":"538e05dd76f1d2d1021a7c6f440d524feab5a351916fed1e638ad87eb334e6e5","source":{"kind":"arxiv","id":"2606.16393","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:KOHALXLW6HJNCAQ2PRXUIDKSJ7","target":"record","payload":{"canonical_record":{"source":{"id":"2606.16393","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-06-15T08:28:24Z","cross_cats_sorted":["math.ST","physics.app-ph","physics.data-an","stat.TH"],"title_canon_sha256":"55c4cb87bdb3e5de19b7fe06ad5eca33dbcc63ec3fe00dcefe108a66a26a48b6","abstract_canon_sha256":"5ea8a34b4a5850667138b9d940ff198975b1e661cecc1a0e58c503691c952b3e"},"schema_version":"1.0"},"canonical_sha256":"538e05dd76f1d2d1021a7c6f440d524feab5a351916fed1e638ad87eb334e6e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T02:12:51.495397Z","signature_b64":"BhcXBtvVk2ZWx1S2esRqYKNw3h4AcavX9pkelZxxN+3r5WrmOha5kxhAK2Tre5wW1Q+4pnHYQg+U4iPWTNUDAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"538e05dd76f1d2d1021a7c6f440d524feab5a351916fed1e638ad87eb334e6e5","last_reissued_at":"2026-06-23T02:12:51.494955Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T02:12:51.494955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.16393","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":"2026-06-23T02:12:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"833yKwz5p5Lqmgbvy/smaglOLjyBCd0zwqVLO9LvssoW40MvAuRGs0qATI7HQVt5rCBzLJbVs6aboMqg1ZmfCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:26:51.803353Z"},"content_sha256":"5d3b58bcba6e911cdba4a988d97a61905d69f4da27156077b97ac52f2d2e997a","schema_version":"1.0","event_id":"sha256:5d3b58bcba6e911cdba4a988d97a61905d69f4da27156077b97ac52f2d2e997a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:KOHALXLW6HJNCAQ2PRXUIDKSJ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Calibrating the Brody exponent as a quantitative measure of short-range exclusion in 2D spatial point processes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.ST","physics.app-ph","physics.data-an","stat.TH"],"primary_cat":"stat.AP","authors_text":"Dawid Kucharski","submitted_at":"2026-06-15T08:28:24Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.16393","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.16393/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-23T02:12:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pafr6kAKt12+D3syAsuOt+mHC9RVObQXflhMqIPv6W9puFEMesmP8NrySDT6e5sBef7tQjaD3Kaej0V8sWa2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:26:51.803733Z"},"content_sha256":"94e1483283a08fa79d466fcc1e161a3a0bf67f99900ea279fe14755371d07e4d","schema_version":"1.0","event_id":"sha256:94e1483283a08fa79d466fcc1e161a3a0bf67f99900ea279fe14755371d07e4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KOHALXLW6HJNCAQ2PRXUIDKSJ7/bundle.json","state_url":"https://pith.science/pith/KOHALXLW6HJNCAQ2PRXUIDKSJ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KOHALXLW6HJNCAQ2PRXUIDKSJ7/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":"2026-06-27T16:26:51Z","links":{"resolver":"https://pith.science/pith/KOHALXLW6HJNCAQ2PRXUIDKSJ7","bundle":"https://pith.science/pith/KOHALXLW6HJNCAQ2PRXUIDKSJ7/bundle.json","state":"https://pith.science/pith/KOHALXLW6HJNCAQ2PRXUIDKSJ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KOHALXLW6HJNCAQ2PRXUIDKSJ7/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3NgRvY5MLDtLZjfbHYEnw64wG5YKF0VOyJ5av8q+RI1miDHHRlw9x+ub9aYwpuv67Go7wTzRlymhtP0UiMmkDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T16:26:51.807466Z","bundle_sha256":"e9d2ecaecc849910fc58efd07963c6e1a972749fa4f32e58f893cff121599e78"}}