{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PO3FSLNLYUTKBZX6WLT5R73HZE","short_pith_number":"pith:PO3FSLNL","schema_version":"1.0","canonical_sha256":"7bb6592dabc526a0e6feb2e7d8ff67c915b505f216fae1b41a7f6dee9e4c9853","source":{"kind":"arxiv","id":"2605.15283","version":1},"attestation_state":"computed","paper":{"title":"Stochastic Safety Limits and Scale-Dependent Power Fluctuations in Nuclear Reactors: A Critical Scaling Approach","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Boundary functionals of random risk processes calculate statistics of reactor power peaks and catastrophic surge probabilities using stable neutron distributions.","cross_cats":["math.PR"],"primary_cat":"cond-mat.dis-nn","authors_text":"V. V. Ryazanov","submitted_at":"2026-05-14T18:00:48Z","abstract_excerpt":"Applying boundary functionals of random risk processes to various physical problems makes it possible to determine many important characteristics of these problems. For example, a special case of boundary functionals is the time to first reach a level, which is widely and successfully applied to a variety of problems. We consider the application of boundary functionals to solving nuclear safety problems. In situations such as reactor startup, as well as for certain types of reactors, neutron behavior changes. Neutron clustering begins to play an important role, and the distributions characteri"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":true,"formal_links_present":true},"canonical_record":{"source":{"id":"2605.15283","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-05-14T18:00:48Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"762c51394cfb7f27a819a0f043af8e19a33bc5c2a0ecec7ebc8146dfe409f57c","abstract_canon_sha256":"8a54a55faec37a95b159b5bead98ea5171f366bc37e3158e8a239506e10316b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:00:50.570507Z","signature_b64":"J7AMVb+TBvPk6oKWaCxNrM2Q9deuM5JIFanvHCalTh26z4pnVM9OV9sR6d6QepA+oQJhaU7t3YkcofdLsVb2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bb6592dabc526a0e6feb2e7d8ff67c915b505f216fae1b41a7f6dee9e4c9853","last_reissued_at":"2026-05-20T00:00:50.569638Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:00:50.569638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic Safety Limits and Scale-Dependent Power Fluctuations in Nuclear Reactors: A Critical Scaling Approach","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Boundary functionals of random risk processes calculate statistics of reactor power peaks and catastrophic surge probabilities using stable neutron distributions.","cross_cats":["math.PR"],"primary_cat":"cond-mat.dis-nn","authors_text":"V. V. Ryazanov","submitted_at":"2026-05-14T18:00:48Z","abstract_excerpt":"Applying boundary functionals of random risk processes to various physical problems makes it possible to determine many important characteristics of these problems. For example, a special case of boundary functionals is the time to first reach a level, which is widely and successfully applied to a variety of problems. We consider the application of boundary functionals to solving nuclear safety problems. In situations such as reactor startup, as well as for certain types of reactors, neutron behavior changes. Neutron clustering begins to play an important role, and the distributions characteri"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Boundary functionals allow us to accurately calculate the statistics of random events, determine the behavior of reactor power peaks, the probabilities of catastrophic power surges, and other quantities important for reactor safety, providing a mathematical bridge between the abstract theory of directed percolation and engineering calculations of protection parameters.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That neutron behavior in reactor startup and certain reactor types is governed by stable limiting distributions (to which sums of random variables converge) rather than Gaussian, and that boundary functionals of random risk processes can be directly mapped onto these physical neutron processes without additional modeling adjustments.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Applies first-passage times of boundary functionals in stable random processes to estimate reactor power peaks and catastrophic surge probabilities.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Boundary functionals of random risk processes calculate statistics of reactor power peaks and catastrophic surge probabilities using stable neutron distributions.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"026df049d1552b98104625fc1efd44b135718efa1fd277f173bcb53449b331b5"},"source":{"id":"2605.15283","kind":"arxiv","version":1},"verdict":{"id":"0e731178-0ee5-4f12-aece-67869f510f54","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T15:59:04.939337Z","strongest_claim":"Boundary functionals allow us to accurately calculate the statistics of random events, determine the behavior of reactor power peaks, the probabilities of catastrophic power surges, and other quantities important for reactor safety, providing a mathematical bridge between the abstract theory of directed percolation and engineering calculations of protection parameters.","one_line_summary":"Applies first-passage times of boundary functionals in stable random processes to estimate reactor power peaks and catastrophic surge probabilities.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That neutron behavior in reactor startup and certain reactor types is governed by stable limiting distributions (to which sums of random variables converge) rather than Gaussian, and that boundary functionals of random risk processes can be directly mapped onto these physical neutron processes without additional modeling adjustments.","pith_extraction_headline":"Boundary functionals of random risk processes calculate statistics of reactor power peaks and catastrophic surge probabilities using stable neutron distributions."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15283/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T16:31:18.372803Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T16:05:11.321886Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T14:41:54.248146Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T13:33:22.795815Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"1efe73ac69cdd1c07fbbbedca0cdc9a6cc99bb5b6039b51bed7cdee52796b41c"},"references":{"count":32,"sample":[{"doi":"","year":2008,"title":"I. Pázsit and L. Pál, Neutron Fluctuations - a Treatise on the Physics of Branching Processes (Elsevier Ltd., London, New York, Tokyo, 2008). 27","work_id":"adb2e6ce-a640-40dd-8c40-d88f7e855000","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2023,"title":"E. Horton, A. E. Kyprianou , Stochastic Neutron Transport And Non -Local Branching Markov Processes (Birkhäuser Cham, 2023, 272 p.)","work_id":"5f0fead9-d1ce-4921-8904-9d4b53784163","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2015,"title":"R.Sanchez, Annals of Nuclear Energy, 6, 88–98 (2015)","work_id":"230a5eb6-1d67-425d-8a17-a67d2c67fafd","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1997,"title":"I. Pázsit & Z. Kuang, Progress in Nuclear Energy, 31(3), 219-244, (1997)","work_id":"33bba834-30af-48d2-8d7f-c214fe0946b7","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1974,"title":"Williams, Random Processes in Nuclear Reactors (Pergamon, 1974)","work_id":"52ab3409-9b2d-4f99-962d-7ad2a00ae096","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":32,"snapshot_sha256":"c54660dbde38f002a62113d08c5f84a99ea90b5be3838f8236a7d1454f16fe63","internal_anchors":1},"formal_canon":{"evidence_count":2,"snapshot_sha256":"5cb1a3832eeabe0e1b313832749d6a3d0d27af31274aca18922a5e6c54351ded"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.15283","created_at":"2026-05-20T00:00:50.569773+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.15283v1","created_at":"2026-05-20T00:00:50.569773+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15283","created_at":"2026-05-20T00:00:50.569773+00:00"},{"alias_kind":"pith_short_12","alias_value":"PO3FSLNLYUTK","created_at":"2026-05-20T00:00:50.569773+00:00"},{"alias_kind":"pith_short_16","alias_value":"PO3FSLNLYUTKBZX6","created_at":"2026-05-20T00:00:50.569773+00:00"},{"alias_kind":"pith_short_8","alias_value":"PO3FSLNL","created_at":"2026-05-20T00:00:50.569773+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PO3FSLNLYUTKBZX6WLT5R73HZE","json":"https://pith.science/pith/PO3FSLNLYUTKBZX6WLT5R73HZE.json","graph_json":"https://pith.science/api/pith-number/PO3FSLNLYUTKBZX6WLT5R73HZE/graph.json","events_json":"https://pith.science/api/pith-number/PO3FSLNLYUTKBZX6WLT5R73HZE/events.json","paper":"https://pith.science/paper/PO3FSLNL"},"agent_actions":{"view_html":"https://pith.science/pith/PO3FSLNLYUTKBZX6WLT5R73HZE","download_json":"https://pith.science/pith/PO3FSLNLYUTKBZX6WLT5R73HZE.json","view_paper":"https://pith.science/paper/PO3FSLNL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.15283&json=true","fetch_graph":"https://pith.science/api/pith-number/PO3FSLNLYUTKBZX6WLT5R73HZE/graph.json","fetch_events":"https://pith.science/api/pith-number/PO3FSLNLYUTKBZX6WLT5R73HZE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PO3FSLNLYUTKBZX6WLT5R73HZE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PO3FSLNLYUTKBZX6WLT5R73HZE/action/storage_attestation","attest_author":"https://pith.science/pith/PO3FSLNLYUTKBZX6WLT5R73HZE/action/author_attestation","sign_citation":"https://pith.science/pith/PO3FSLNLYUTKBZX6WLT5R73HZE/action/citation_signature","submit_replication":"https://pith.science/pith/PO3FSLNLYUTKBZX6WLT5R73HZE/action/replication_record"}},"created_at":"2026-05-20T00:00:50.569773+00:00","updated_at":"2026-05-20T00:00:50.569773+00:00"}