{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:NXVTZA5IN5HBHH3JB46E6HUDHS","short_pith_number":"pith:NXVTZA5I","schema_version":"1.0","canonical_sha256":"6deb3c83a86f4e139f690f3c4f1e833cad47ab98612a8171b86f58b655f806cb","source":{"kind":"arxiv","id":"2112.00444","version":2},"attestation_state":"computed","paper":{"title":"Squares with three digits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.NT","authors_text":"Anne Zahn, Michael Gei{\\ss}er, Sascha Kurz, Theresa K\\\"orner","submitted_at":"2021-12-01T12:10:48Z","abstract_excerpt":"We consider integers whose squares have just three decimal digits. Examples are e.g. given by $2108436491907081488939581538^2 = 4445504440405440505004450045555054500055550554550445444$ and $10100000000010401000000000101^2 = 102010000000210100200000110221001000002101002000000010201$. The aim of this paper is to summarize the current knowledge on squares with three digits, scattered around webpages and newsgroup postings, and to add a few new insights. While we will mostly focus on the base $B=10$, several results are presented for general values of $B$. The used mathematical tools are completel"},"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":"2112.00444","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-12-01T12:10:48Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"bd1512e44e84ce853d9d45dab129d882cedd6d2ed5e7bd4371a0ef462f5bc9b5","abstract_canon_sha256":"e63e711dbc87a4c729caf84c15a14ed2b84cba7faf471feee377233aecd43158"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:47:02.664241Z","signature_b64":"b/SoWCmmMvF64jZ/n2onJXlIWGHk3zHXbqGrp0djmpluKRJCioBUDJlDS7EZZeRDCrAArHSeni/H0G4jecmnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6deb3c83a86f4e139f690f3c4f1e833cad47ab98612a8171b86f58b655f806cb","last_reissued_at":"2026-07-05T03:47:02.663744Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:47:02.663744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Squares with three digits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.NT","authors_text":"Anne Zahn, Michael Gei{\\ss}er, Sascha Kurz, Theresa K\\\"orner","submitted_at":"2021-12-01T12:10:48Z","abstract_excerpt":"We consider integers whose squares have just three decimal digits. Examples are e.g. given by $2108436491907081488939581538^2 = 4445504440405440505004450045555054500055550554550445444$ and $10100000000010401000000000101^2 = 102010000000210100200000110221001000002101002000000010201$. The aim of this paper is to summarize the current knowledge on squares with three digits, scattered around webpages and newsgroup postings, and to add a few new insights. While we will mostly focus on the base $B=10$, several results are presented for general values of $B$. The used mathematical tools are completel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.00444","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/2112.00444/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":"2112.00444","created_at":"2026-07-05T03:47:02.663805+00:00"},{"alias_kind":"arxiv_version","alias_value":"2112.00444v2","created_at":"2026-07-05T03:47:02.663805+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.00444","created_at":"2026-07-05T03:47:02.663805+00:00"},{"alias_kind":"pith_short_12","alias_value":"NXVTZA5IN5HB","created_at":"2026-07-05T03:47:02.663805+00:00"},{"alias_kind":"pith_short_16","alias_value":"NXVTZA5IN5HBHH3J","created_at":"2026-07-05T03:47:02.663805+00:00"},{"alias_kind":"pith_short_8","alias_value":"NXVTZA5I","created_at":"2026-07-05T03:47:02.663805+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/NXVTZA5IN5HBHH3JB46E6HUDHS","json":"https://pith.science/pith/NXVTZA5IN5HBHH3JB46E6HUDHS.json","graph_json":"https://pith.science/api/pith-number/NXVTZA5IN5HBHH3JB46E6HUDHS/graph.json","events_json":"https://pith.science/api/pith-number/NXVTZA5IN5HBHH3JB46E6HUDHS/events.json","paper":"https://pith.science/paper/NXVTZA5I"},"agent_actions":{"view_html":"https://pith.science/pith/NXVTZA5IN5HBHH3JB46E6HUDHS","download_json":"https://pith.science/pith/NXVTZA5IN5HBHH3JB46E6HUDHS.json","view_paper":"https://pith.science/paper/NXVTZA5I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2112.00444&json=true","fetch_graph":"https://pith.science/api/pith-number/NXVTZA5IN5HBHH3JB46E6HUDHS/graph.json","fetch_events":"https://pith.science/api/pith-number/NXVTZA5IN5HBHH3JB46E6HUDHS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NXVTZA5IN5HBHH3JB46E6HUDHS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NXVTZA5IN5HBHH3JB46E6HUDHS/action/storage_attestation","attest_author":"https://pith.science/pith/NXVTZA5IN5HBHH3JB46E6HUDHS/action/author_attestation","sign_citation":"https://pith.science/pith/NXVTZA5IN5HBHH3JB46E6HUDHS/action/citation_signature","submit_replication":"https://pith.science/pith/NXVTZA5IN5HBHH3JB46E6HUDHS/action/replication_record"}},"created_at":"2026-07-05T03:47:02.663805+00:00","updated_at":"2026-07-05T03:47:02.663805+00:00"}