{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:SCGECTQGOVMZR7ASHPABOFAJ64","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":"d934f61dd2b3f4608ece57e9987d7885eb8c101c61934b186e22c1d1f95d3ff1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-12-30T20:12:43Z","title_canon_sha256":"6ae5e1ff5a7d9f75698f5d9f3e3e83c47252fb401fbf69e5b22c064a704ddfb8"},"schema_version":"1.0","source":{"id":"0812.5110","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.5110","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"0812.5110v1","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.5110","created_at":"2026-05-18T03:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"SCGECTQGOVMZ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"SCGECTQGOVMZR7AS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"SCGECTQG","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:ca449435d6fc5790f9a603204e802c9afe4aa0128d9b10466e734586ee6931d2","target":"graph","created_at":"2026-05-18T03:24:08Z","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 a recent letter [Phys. Rev. Lett. {\\bf 100}, 164101 (2008)] and within the context of quantized chaotic billiards, random plane wave and semiclassical theoretical approaches were applied to an example of a relatively new class of statistical measures, i.e. measures involving both complete spatial integration and energy summation as essential ingredients. A quintessential example comes from the desire to understand the short-range approximation to the first order ground state contribution of the residual Coulomb interaction. Billiards, fully chaotic or otherwise, provide an ideal class of sy","authors_text":"Arnd Baecker, Denis Ullmo, Steven Tomsovic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-12-30T20:12:43Z","title":"Semiclassical theory of non-local statistical measures: residual Coulomb interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.5110","kind":"arxiv","version":1},"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":"sha256:82b7c827e2efccc492ed96c7d9fadcf3aa0090a709da29048acb35d40b2d0c5d","target":"record","created_at":"2026-05-18T03:24:08Z","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":"d934f61dd2b3f4608ece57e9987d7885eb8c101c61934b186e22c1d1f95d3ff1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-12-30T20:12:43Z","title_canon_sha256":"6ae5e1ff5a7d9f75698f5d9f3e3e83c47252fb401fbf69e5b22c064a704ddfb8"},"schema_version":"1.0","source":{"id":"0812.5110","kind":"arxiv","version":1}},"canonical_sha256":"908c414e06755998fc123bc0171409f7299238f635352ccc79d510420a5e656f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"908c414e06755998fc123bc0171409f7299238f635352ccc79d510420a5e656f","first_computed_at":"2026-05-18T03:24:08.461724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:08.461724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ma8G9cs962iPPDq0xnySGLtFtGTF/Qi9hUXt5fUNPHfmjvw88XxplYdEM2NiKZ9ROXHEyyWi2kQqTzniF7jiBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:08.462272Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.5110","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82b7c827e2efccc492ed96c7d9fadcf3aa0090a709da29048acb35d40b2d0c5d","sha256:ca449435d6fc5790f9a603204e802c9afe4aa0128d9b10466e734586ee6931d2"],"state_sha256":"375f7ead319bc972dc00c0ddbe269e6c07a080050aae4ce6c138fa5db7814dde"}