{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:5FLXDOD4X6GLJGJLQMVQH5LGSC","short_pith_number":"pith:5FLXDOD4","schema_version":"1.0","canonical_sha256":"e95771b87cbf8cb4992b832b03f56690a2c5f0d29f4fae2e4f6e3265bbbfbfce","source":{"kind":"arxiv","id":"math/0502199","version":2},"attestation_state":"computed","paper":{"title":"Finding Almost Squares","license":"","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Tsz Ho Chan","submitted_at":"2005-02-09T18:11:50Z","abstract_excerpt":"We study short intervals which contain an ``almost square'', an integer $n$ that can be factored as $n = ab$ with $a$, $b$ close to $\\sqrt{n}$. This is related to the problem on distribution of $n^2 \\alpha \\pmod 1$ and the problem on gaps between sums of two squares."},"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/0502199","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"2005-02-09T18:11:50Z","cross_cats_sorted":[],"title_canon_sha256":"b563304578c93da6d37cd111fe554ad8127c2847283ae75676aab6256d5475b6","abstract_canon_sha256":"e5649a271eb41be9267a545324744e581450c8999c305b0e854dbdcf1f36c1eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:26.941552Z","signature_b64":"qJuvgMQGANdPsJbsmtWiOd7nsVexjRBho3w/7+1H2X1tifynxuJjZnSSTy0KigIcpoW03nEuBwJCruQuOeyFCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e95771b87cbf8cb4992b832b03f56690a2c5f0d29f4fae2e4f6e3265bbbfbfce","last_reissued_at":"2026-05-18T01:38:26.940950Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:26.940950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finding Almost Squares","license":"","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Tsz Ho Chan","submitted_at":"2005-02-09T18:11:50Z","abstract_excerpt":"We study short intervals which contain an ``almost square'', an integer $n$ that can be factored as $n = ab$ with $a$, $b$ close to $\\sqrt{n}$. This is related to the problem on distribution of $n^2 \\alpha \\pmod 1$ and the problem on gaps between sums of two squares."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0502199","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":""},"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/0502199","created_at":"2026-05-18T01:38:26.941037+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0502199v2","created_at":"2026-05-18T01:38:26.941037+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0502199","created_at":"2026-05-18T01:38:26.941037+00:00"},{"alias_kind":"pith_short_12","alias_value":"5FLXDOD4X6GL","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"5FLXDOD4X6GLJGJL","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"5FLXDOD4","created_at":"2026-05-18T12:25:53.335082+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/5FLXDOD4X6GLJGJLQMVQH5LGSC","json":"https://pith.science/pith/5FLXDOD4X6GLJGJLQMVQH5LGSC.json","graph_json":"https://pith.science/api/pith-number/5FLXDOD4X6GLJGJLQMVQH5LGSC/graph.json","events_json":"https://pith.science/api/pith-number/5FLXDOD4X6GLJGJLQMVQH5LGSC/events.json","paper":"https://pith.science/paper/5FLXDOD4"},"agent_actions":{"view_html":"https://pith.science/pith/5FLXDOD4X6GLJGJLQMVQH5LGSC","download_json":"https://pith.science/pith/5FLXDOD4X6GLJGJLQMVQH5LGSC.json","view_paper":"https://pith.science/paper/5FLXDOD4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0502199&json=true","fetch_graph":"https://pith.science/api/pith-number/5FLXDOD4X6GLJGJLQMVQH5LGSC/graph.json","fetch_events":"https://pith.science/api/pith-number/5FLXDOD4X6GLJGJLQMVQH5LGSC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5FLXDOD4X6GLJGJLQMVQH5LGSC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5FLXDOD4X6GLJGJLQMVQH5LGSC/action/storage_attestation","attest_author":"https://pith.science/pith/5FLXDOD4X6GLJGJLQMVQH5LGSC/action/author_attestation","sign_citation":"https://pith.science/pith/5FLXDOD4X6GLJGJLQMVQH5LGSC/action/citation_signature","submit_replication":"https://pith.science/pith/5FLXDOD4X6GLJGJLQMVQH5LGSC/action/replication_record"}},"created_at":"2026-05-18T01:38:26.941037+00:00","updated_at":"2026-05-18T01:38:26.941037+00:00"}