{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:KICNHPMKTXCQOFCTHJBNU5PO4B","short_pith_number":"pith:KICNHPMK","schema_version":"1.0","canonical_sha256":"5204d3bd8a9dc50714533a42da75eee05d43447584c17347703680c389cfc06d","source":{"kind":"arxiv","id":"math/0410522","version":1},"attestation_state":"computed","paper":{"title":"Lattice points in large regions and related arithmetic functions: Recent developments in a very classic topic","license":"","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"A. Ivic, E. Kr\\\"atzel, M. K\\\"uhleitner, W.G. Nowak","submitted_at":"2004-10-25T09:33:31Z","abstract_excerpt":"This is a survey article on the theory of lattice points in large planar domains and bodies of dimensions 3 and higher, with an emphasis on recent developments and new methods, including a lot of results established only during the last few years. It deals with the classic circle and sphere problems, as well as with the present state-of-the-art concerning lattice points in more general regions and bodies. Furthermore, a thorough account is given on divisor problems and related arithmetic functions."},"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":"math/0410522","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"2004-10-25T09:33:31Z","cross_cats_sorted":[],"title_canon_sha256":"a17dc62df2062ac346cf535bcf879c0ce3ebfd74c72d41f8ee6c0021756c325b","abstract_canon_sha256":"420bc54babf3d3a03f7f773eaeeb5c21899544aa463a611efd331ca99e128869"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:39:18.203831Z","signature_b64":"Nxd9mbZKnKhq0mzSkdGw2BTroDihm0dFHvXQOyD67AGkZQXTbKsVw8H8Py8PlTioK9jCPA8Xf3LdLVUQmIOVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5204d3bd8a9dc50714533a42da75eee05d43447584c17347703680c389cfc06d","last_reissued_at":"2026-07-04T14:39:18.203435Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:39:18.203435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lattice points in large regions and related arithmetic functions: Recent developments in a very classic topic","license":"","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"A. Ivic, E. Kr\\\"atzel, M. K\\\"uhleitner, W.G. Nowak","submitted_at":"2004-10-25T09:33:31Z","abstract_excerpt":"This is a survey article on the theory of lattice points in large planar domains and bodies of dimensions 3 and higher, with an emphasis on recent developments and new methods, including a lot of results established only during the last few years. It deals with the classic circle and sphere problems, as well as with the present state-of-the-art concerning lattice points in more general regions and bodies. Furthermore, a thorough account is given on divisor problems and related arithmetic functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0410522","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/math/0410522/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":"math/0410522","created_at":"2026-07-04T14:39:18.203497+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0410522v1","created_at":"2026-07-04T14:39:18.203497+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0410522","created_at":"2026-07-04T14:39:18.203497+00:00"},{"alias_kind":"pith_short_12","alias_value":"KICNHPMKTXCQ","created_at":"2026-07-04T14:39:18.203497+00:00"},{"alias_kind":"pith_short_16","alias_value":"KICNHPMKTXCQOFCT","created_at":"2026-07-04T14:39:18.203497+00:00"},{"alias_kind":"pith_short_8","alias_value":"KICNHPMK","created_at":"2026-07-04T14:39:18.203497+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2603.21072","citing_title":"Analytic Study of $p$-Bessel Functions: Fractional Calculus, Integral Representations, and Complex Extensions","ref_index":6,"is_internal_anchor":true},{"citing_arxiv_id":"2604.03178","citing_title":"High-Dimensional Signal Compression: Lattice Point Bounds and Metric Entropy","ref_index":4,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KICNHPMKTXCQOFCTHJBNU5PO4B","json":"https://pith.science/pith/KICNHPMKTXCQOFCTHJBNU5PO4B.json","graph_json":"https://pith.science/api/pith-number/KICNHPMKTXCQOFCTHJBNU5PO4B/graph.json","events_json":"https://pith.science/api/pith-number/KICNHPMKTXCQOFCTHJBNU5PO4B/events.json","paper":"https://pith.science/paper/KICNHPMK"},"agent_actions":{"view_html":"https://pith.science/pith/KICNHPMKTXCQOFCTHJBNU5PO4B","download_json":"https://pith.science/pith/KICNHPMKTXCQOFCTHJBNU5PO4B.json","view_paper":"https://pith.science/paper/KICNHPMK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0410522&json=true","fetch_graph":"https://pith.science/api/pith-number/KICNHPMKTXCQOFCTHJBNU5PO4B/graph.json","fetch_events":"https://pith.science/api/pith-number/KICNHPMKTXCQOFCTHJBNU5PO4B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KICNHPMKTXCQOFCTHJBNU5PO4B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KICNHPMKTXCQOFCTHJBNU5PO4B/action/storage_attestation","attest_author":"https://pith.science/pith/KICNHPMKTXCQOFCTHJBNU5PO4B/action/author_attestation","sign_citation":"https://pith.science/pith/KICNHPMKTXCQOFCTHJBNU5PO4B/action/citation_signature","submit_replication":"https://pith.science/pith/KICNHPMKTXCQOFCTHJBNU5PO4B/action/replication_record"}},"created_at":"2026-07-04T14:39:18.203497+00:00","updated_at":"2026-07-04T14:39:18.203497+00:00"}