{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:SYNDLQSNL4B47MOG3SIVU2RTXE","short_pith_number":"pith:SYNDLQSN","schema_version":"1.0","canonical_sha256":"961a35c24d5f03cfb1c6dc915a6a33b91f1846803d77b0481dfcc9ad7d560c10","source":{"kind":"arxiv","id":"1708.06820","version":1},"attestation_state":"computed","paper":{"title":"Integer part independent polynomial averages and applications along primes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.PR"],"primary_cat":"math.CA","authors_text":"Andreas Koutsogiannis, Dimitris Karageorgos","submitted_at":"2017-08-07T00:45:43Z","abstract_excerpt":"Exploiting the equidistribution properties of polynomial sequences, following the methods developed by Leibman (\"Pointwise Convergence of ergodic averages for polynomial sequences of translations on a nilmanifold. Ergodic Theory Dynam. Systems, 25 (2005) no. 1, 201-213\") and Frantzikinakis (\"Multiple recurrence and convergence for Hardy field sequences of polynomial growth. Journal d'Analyse Mathematique, 112 (2010), 79-135\" and \"Equidistribution of sparse sequences on nilmanifolds. Journal d'Analyse Mathematique, 109 (2009), 353-395\") we show that the ergodic averages with iterates given by t"},"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":"1708.06820","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-08-07T00:45:43Z","cross_cats_sorted":["math.DS","math.PR"],"title_canon_sha256":"4a4870fd456441da6a834e72bc93191a538a11cb04b2b85c45d392f94c242bbb","abstract_canon_sha256":"31cf26b164ae75fb91bdebb86471778a9f2a4850469eed1af7698a4d2d5846ac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:21.714764Z","signature_b64":"ytfLq8vWSJAq/6ivjQ9oahFsZnIztRrYLKJacDvzDGRrcROi26A1scrvbWkAiA4/uh1TzaCIE/UQzgbjLsRRDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"961a35c24d5f03cfb1c6dc915a6a33b91f1846803d77b0481dfcc9ad7d560c10","last_reissued_at":"2026-05-18T00:36:21.714068Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:21.714068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integer part independent polynomial averages and applications along primes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.PR"],"primary_cat":"math.CA","authors_text":"Andreas Koutsogiannis, Dimitris Karageorgos","submitted_at":"2017-08-07T00:45:43Z","abstract_excerpt":"Exploiting the equidistribution properties of polynomial sequences, following the methods developed by Leibman (\"Pointwise Convergence of ergodic averages for polynomial sequences of translations on a nilmanifold. Ergodic Theory Dynam. Systems, 25 (2005) no. 1, 201-213\") and Frantzikinakis (\"Multiple recurrence and convergence for Hardy field sequences of polynomial growth. Journal d'Analyse Mathematique, 112 (2010), 79-135\" and \"Equidistribution of sparse sequences on nilmanifolds. Journal d'Analyse Mathematique, 109 (2009), 353-395\") we show that the ergodic averages with iterates given by t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06820","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":""},"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":"1708.06820","created_at":"2026-05-18T00:36:21.714165+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.06820v1","created_at":"2026-05-18T00:36:21.714165+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06820","created_at":"2026-05-18T00:36:21.714165+00:00"},{"alias_kind":"pith_short_12","alias_value":"SYNDLQSNL4B4","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"SYNDLQSNL4B47MOG","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"SYNDLQSN","created_at":"2026-05-18T12:31:43.269735+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/SYNDLQSNL4B47MOG3SIVU2RTXE","json":"https://pith.science/pith/SYNDLQSNL4B47MOG3SIVU2RTXE.json","graph_json":"https://pith.science/api/pith-number/SYNDLQSNL4B47MOG3SIVU2RTXE/graph.json","events_json":"https://pith.science/api/pith-number/SYNDLQSNL4B47MOG3SIVU2RTXE/events.json","paper":"https://pith.science/paper/SYNDLQSN"},"agent_actions":{"view_html":"https://pith.science/pith/SYNDLQSNL4B47MOG3SIVU2RTXE","download_json":"https://pith.science/pith/SYNDLQSNL4B47MOG3SIVU2RTXE.json","view_paper":"https://pith.science/paper/SYNDLQSN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.06820&json=true","fetch_graph":"https://pith.science/api/pith-number/SYNDLQSNL4B47MOG3SIVU2RTXE/graph.json","fetch_events":"https://pith.science/api/pith-number/SYNDLQSNL4B47MOG3SIVU2RTXE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SYNDLQSNL4B47MOG3SIVU2RTXE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SYNDLQSNL4B47MOG3SIVU2RTXE/action/storage_attestation","attest_author":"https://pith.science/pith/SYNDLQSNL4B47MOG3SIVU2RTXE/action/author_attestation","sign_citation":"https://pith.science/pith/SYNDLQSNL4B47MOG3SIVU2RTXE/action/citation_signature","submit_replication":"https://pith.science/pith/SYNDLQSNL4B47MOG3SIVU2RTXE/action/replication_record"}},"created_at":"2026-05-18T00:36:21.714165+00:00","updated_at":"2026-05-18T00:36:21.714165+00:00"}