{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:TKAWFA4O676TSP7ZZTACMRZTCS","short_pith_number":"pith:TKAWFA4O","schema_version":"1.0","canonical_sha256":"9a8162838ef7fd393ff9ccc026473314b3670eacfae91aeaafc0ed67309759c3","source":{"kind":"arxiv","id":"2606.10559","version":1},"attestation_state":"computed","paper":{"title":"Deterministic Denominator Design for Localized Tamed Stochastic-Gradient Langevin Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.ML"],"primary_cat":"stat.ME","authors_text":"Yiwei Zhou, Ziheng Chen","submitted_at":"2026-06-09T08:25:41Z","abstract_excerpt":"Tamed stochastic-gradient Langevin dynamics (SGLD) stabilizes large drifts by adding a denominator to the update. If this denominator uses the same stochastic-gradient sample as the update step, it can also change the conditional mean drift. We study deterministic denominators: the state-dependent envelope is fixed before the current oracle sample is drawn. The main question is how to design this envelope in practice. The design starts from an oracle score, builds a low-cost proxy score on pilot states, chooses activation thresholds by empirical quantiles, and then applies a small calibration "},"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":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.10559","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-06-09T08:25:41Z","cross_cats_sorted":["math.PR","stat.ML"],"title_canon_sha256":"73e48caf345080d04feaccb1d6af70c1dbf00f869daa9dc5c5ea973fb2883005","abstract_canon_sha256":"6adee3d8a99b9ed574b4085c1f88b6edf486885b7a7bd8434e4d2c4db8215208"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:10:26.346040Z","signature_b64":"BP+bVqZq36kX2VGQCv//F+T/fY3ey1qEJUb9Wpmd22pPVvN+bGUwSyxnn/KZvtpgjam93ADD17v4X1fjCEABDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a8162838ef7fd393ff9ccc026473314b3670eacfae91aeaafc0ed67309759c3","last_reissued_at":"2026-06-10T01:10:26.345117Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:10:26.345117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deterministic Denominator Design for Localized Tamed Stochastic-Gradient Langevin Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.ML"],"primary_cat":"stat.ME","authors_text":"Yiwei Zhou, Ziheng Chen","submitted_at":"2026-06-09T08:25:41Z","abstract_excerpt":"Tamed stochastic-gradient Langevin dynamics (SGLD) stabilizes large drifts by adding a denominator to the update. If this denominator uses the same stochastic-gradient sample as the update step, it can also change the conditional mean drift. We study deterministic denominators: the state-dependent envelope is fixed before the current oracle sample is drawn. The main question is how to design this envelope in practice. The design starts from an oracle score, builds a low-cost proxy score on pilot states, chooses activation thresholds by empirical quantiles, and then applies a small calibration "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10559","kind":"arxiv","version":1},"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/2606.10559/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.10559","created_at":"2026-06-10T01:10:26.345277+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.10559v1","created_at":"2026-06-10T01:10:26.345277+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10559","created_at":"2026-06-10T01:10:26.345277+00:00"},{"alias_kind":"pith_short_12","alias_value":"TKAWFA4O676T","created_at":"2026-06-10T01:10:26.345277+00:00"},{"alias_kind":"pith_short_16","alias_value":"TKAWFA4O676TSP7Z","created_at":"2026-06-10T01:10:26.345277+00:00"},{"alias_kind":"pith_short_8","alias_value":"TKAWFA4O","created_at":"2026-06-10T01:10:26.345277+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TKAWFA4O676TSP7ZZTACMRZTCS","json":"https://pith.science/pith/TKAWFA4O676TSP7ZZTACMRZTCS.json","graph_json":"https://pith.science/api/pith-number/TKAWFA4O676TSP7ZZTACMRZTCS/graph.json","events_json":"https://pith.science/api/pith-number/TKAWFA4O676TSP7ZZTACMRZTCS/events.json","paper":"https://pith.science/paper/TKAWFA4O"},"agent_actions":{"view_html":"https://pith.science/pith/TKAWFA4O676TSP7ZZTACMRZTCS","download_json":"https://pith.science/pith/TKAWFA4O676TSP7ZZTACMRZTCS.json","view_paper":"https://pith.science/paper/TKAWFA4O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.10559&json=true","fetch_graph":"https://pith.science/api/pith-number/TKAWFA4O676TSP7ZZTACMRZTCS/graph.json","fetch_events":"https://pith.science/api/pith-number/TKAWFA4O676TSP7ZZTACMRZTCS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TKAWFA4O676TSP7ZZTACMRZTCS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TKAWFA4O676TSP7ZZTACMRZTCS/action/storage_attestation","attest_author":"https://pith.science/pith/TKAWFA4O676TSP7ZZTACMRZTCS/action/author_attestation","sign_citation":"https://pith.science/pith/TKAWFA4O676TSP7ZZTACMRZTCS/action/citation_signature","submit_replication":"https://pith.science/pith/TKAWFA4O676TSP7ZZTACMRZTCS/action/replication_record"}},"created_at":"2026-06-10T01:10:26.345277+00:00","updated_at":"2026-06-10T01:10:26.345277+00:00"}