{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:DREV2SRHLVJOZAQO6B5KK255W6","short_pith_number":"pith:DREV2SRH","schema_version":"1.0","canonical_sha256":"1c495d4a275d52ec820ef07aa56bbdb7abead7ceb4cc585393b510623b168413","source":{"kind":"arxiv","id":"2505.13256","version":2},"attestation_state":"computed","paper":{"title":"Soft bounds for local triple products and the subconvexity-QUE implication for $\\mathrm{GL}_2$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Paul D. Nelson","submitted_at":"2025-05-19T15:39:31Z","abstract_excerpt":"We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity."},"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":"2505.13256","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2025-05-19T15:39:31Z","cross_cats_sorted":[],"title_canon_sha256":"93ebf332ce135efe7791970a59f4473db2fc1ab88d5ef52a1323175be4184a25","abstract_canon_sha256":"814b9173a226f1bc62eb4fe736f1f10ec1a3521e221732762d10e9932c7da6c6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:09:44.363026Z","signature_b64":"LE6psc9YPgRydQnlXlHAQzchKmHl4gz6p/0EgZ/DPGmhvFxLXTcqaHjOLIa1PETl8EZaT11xS5u0z8DLiJz6Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c495d4a275d52ec820ef07aa56bbdb7abead7ceb4cc585393b510623b168413","last_reissued_at":"2026-07-05T12:09:44.362587Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:09:44.362587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Soft bounds for local triple products and the subconvexity-QUE implication for $\\mathrm{GL}_2$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Paul D. Nelson","submitted_at":"2025-05-19T15:39:31Z","abstract_excerpt":"We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.13256","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/2505.13256/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":"2505.13256","created_at":"2026-07-05T12:09:44.362641+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.13256v2","created_at":"2026-07-05T12:09:44.362641+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.13256","created_at":"2026-07-05T12:09:44.362641+00:00"},{"alias_kind":"pith_short_12","alias_value":"DREV2SRHLVJO","created_at":"2026-07-05T12:09:44.362641+00:00"},{"alias_kind":"pith_short_16","alias_value":"DREV2SRHLVJOZAQO","created_at":"2026-07-05T12:09:44.362641+00:00"},{"alias_kind":"pith_short_8","alias_value":"DREV2SRH","created_at":"2026-07-05T12:09:44.362641+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.20576","citing_title":"Weyl bound for trilinear periods via conformal bootstrap","ref_index":115,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DREV2SRHLVJOZAQO6B5KK255W6","json":"https://pith.science/pith/DREV2SRHLVJOZAQO6B5KK255W6.json","graph_json":"https://pith.science/api/pith-number/DREV2SRHLVJOZAQO6B5KK255W6/graph.json","events_json":"https://pith.science/api/pith-number/DREV2SRHLVJOZAQO6B5KK255W6/events.json","paper":"https://pith.science/paper/DREV2SRH"},"agent_actions":{"view_html":"https://pith.science/pith/DREV2SRHLVJOZAQO6B5KK255W6","download_json":"https://pith.science/pith/DREV2SRHLVJOZAQO6B5KK255W6.json","view_paper":"https://pith.science/paper/DREV2SRH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.13256&json=true","fetch_graph":"https://pith.science/api/pith-number/DREV2SRHLVJOZAQO6B5KK255W6/graph.json","fetch_events":"https://pith.science/api/pith-number/DREV2SRHLVJOZAQO6B5KK255W6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DREV2SRHLVJOZAQO6B5KK255W6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DREV2SRHLVJOZAQO6B5KK255W6/action/storage_attestation","attest_author":"https://pith.science/pith/DREV2SRHLVJOZAQO6B5KK255W6/action/author_attestation","sign_citation":"https://pith.science/pith/DREV2SRHLVJOZAQO6B5KK255W6/action/citation_signature","submit_replication":"https://pith.science/pith/DREV2SRHLVJOZAQO6B5KK255W6/action/replication_record"}},"created_at":"2026-07-05T12:09:44.362641+00:00","updated_at":"2026-07-05T12:09:44.362641+00:00"}