{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:BK7BF3TF2DLMK4RQIB4IVA5HVZ","short_pith_number":"pith:BK7BF3TF","schema_version":"1.0","canonical_sha256":"0abe12ee65d0d6c5723040788a83a7ae6eb0af8bf786485cca4fd2919700d0e5","source":{"kind":"arxiv","id":"2606.27516","version":1},"attestation_state":"computed","paper":{"title":"Sharp Bounds for Moments of the Dedekind Zeta Function","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Kamalakshya Mahatab, Nilmoni Karak","submitted_at":"2026-06-25T20:01:08Z","abstract_excerpt":"Assuming the Generalized Riemann Hypothesis, we establish upper bounds of conjectural order of magnitude for shifted moments of the Dedekind zeta function associated with a finite Galois extension. This improves results of Milinovich and Turnage-Butterbaugh and extends a recent result of Hagen."},"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":"2606.27516","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2026-06-25T20:01:08Z","cross_cats_sorted":[],"title_canon_sha256":"cef21059b8e77530ea7b092d16e362dd9c8791048c99fbceec12d8966e8e0e62","abstract_canon_sha256":"08b3a0a0bb1aad914aa425c8c2713b46085c3a069d7c92da1f7cb87d6c68782b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-29T00:14:08.788502Z","signature_b64":"G5ErjgcMv3TEEWrcbCPwAFLbLkAFJ4RpbaiakP5erwR2MPlc6OtKI61o8FYANJNzsXMnMiX+GdKVRWdnycXbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0abe12ee65d0d6c5723040788a83a7ae6eb0af8bf786485cca4fd2919700d0e5","last_reissued_at":"2026-06-29T00:14:08.788114Z","signature_status":"signed_v1","first_computed_at":"2026-06-29T00:14:08.788114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sharp Bounds for Moments of the Dedekind Zeta Function","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Kamalakshya Mahatab, Nilmoni Karak","submitted_at":"2026-06-25T20:01:08Z","abstract_excerpt":"Assuming the Generalized Riemann Hypothesis, we establish upper bounds of conjectural order of magnitude for shifted moments of the Dedekind zeta function associated with a finite Galois extension. This improves results of Milinovich and Turnage-Butterbaugh and extends a recent result of Hagen."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27516","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/2606.27516/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":"2606.27516","created_at":"2026-06-29T00:14:08.788169+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.27516v1","created_at":"2026-06-29T00:14:08.788169+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27516","created_at":"2026-06-29T00:14:08.788169+00:00"},{"alias_kind":"pith_short_12","alias_value":"BK7BF3TF2DLM","created_at":"2026-06-29T00:14:08.788169+00:00"},{"alias_kind":"pith_short_16","alias_value":"BK7BF3TF2DLMK4RQ","created_at":"2026-06-29T00:14:08.788169+00:00"},{"alias_kind":"pith_short_8","alias_value":"BK7BF3TF","created_at":"2026-06-29T00:14:08.788169+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/BK7BF3TF2DLMK4RQIB4IVA5HVZ","json":"https://pith.science/pith/BK7BF3TF2DLMK4RQIB4IVA5HVZ.json","graph_json":"https://pith.science/api/pith-number/BK7BF3TF2DLMK4RQIB4IVA5HVZ/graph.json","events_json":"https://pith.science/api/pith-number/BK7BF3TF2DLMK4RQIB4IVA5HVZ/events.json","paper":"https://pith.science/paper/BK7BF3TF"},"agent_actions":{"view_html":"https://pith.science/pith/BK7BF3TF2DLMK4RQIB4IVA5HVZ","download_json":"https://pith.science/pith/BK7BF3TF2DLMK4RQIB4IVA5HVZ.json","view_paper":"https://pith.science/paper/BK7BF3TF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.27516&json=true","fetch_graph":"https://pith.science/api/pith-number/BK7BF3TF2DLMK4RQIB4IVA5HVZ/graph.json","fetch_events":"https://pith.science/api/pith-number/BK7BF3TF2DLMK4RQIB4IVA5HVZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BK7BF3TF2DLMK4RQIB4IVA5HVZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BK7BF3TF2DLMK4RQIB4IVA5HVZ/action/storage_attestation","attest_author":"https://pith.science/pith/BK7BF3TF2DLMK4RQIB4IVA5HVZ/action/author_attestation","sign_citation":"https://pith.science/pith/BK7BF3TF2DLMK4RQIB4IVA5HVZ/action/citation_signature","submit_replication":"https://pith.science/pith/BK7BF3TF2DLMK4RQIB4IVA5HVZ/action/replication_record"}},"created_at":"2026-06-29T00:14:08.788169+00:00","updated_at":"2026-06-29T00:14:08.788169+00:00"}