{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:CIPFNXEK7QHHEUXXUIUFLVENZX","short_pith_number":"pith:CIPFNXEK","schema_version":"1.0","canonical_sha256":"121e56dc8afc0e7252f7a22855d48dcdfe75ced52035cfee0674a22eca6e8198","source":{"kind":"arxiv","id":"1310.4563","version":2},"attestation_state":"computed","paper":{"title":"The non-existence of cubic Legendre multiplier sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Carlee Simon, James Haley III, Rebecca Menke, Tam\\'as Forg\\'acs","submitted_at":"2013-10-17T02:26:26Z","abstract_excerpt":"The main result in this paper is the proof of the recently conjectured non-existence of cubic Legendre multiplier sequences. We also give an alternative proof of the non-existence of linear Legendre multiplier sequences, using a method that will allow for a more methodical treatment of sequences interpolated by higher degree polynomials."},"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":"1310.4563","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-10-17T02:26:26Z","cross_cats_sorted":[],"title_canon_sha256":"4f0138a8932974f9cfd13e00fd7e52c6d370498328f285410712003f6207ae9a","abstract_canon_sha256":"f34b79b7bc6e63d1dbfceb390bb4fde9f05fbb6147ec6fbc8b913b069bd91b5a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:12.479815Z","signature_b64":"VnTSV2pJAhP7qU/wm5y9Vea41JKbilbHMGCSEsWkK/3dm+RPCYIDUCXjON7pwd3eUoJV9D23eTuxTgvVjGK0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"121e56dc8afc0e7252f7a22855d48dcdfe75ced52035cfee0674a22eca6e8198","last_reissued_at":"2026-05-18T02:17:12.479125Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:12.479125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The non-existence of cubic Legendre multiplier sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Carlee Simon, James Haley III, Rebecca Menke, Tam\\'as Forg\\'acs","submitted_at":"2013-10-17T02:26:26Z","abstract_excerpt":"The main result in this paper is the proof of the recently conjectured non-existence of cubic Legendre multiplier sequences. We also give an alternative proof of the non-existence of linear Legendre multiplier sequences, using a method that will allow for a more methodical treatment of sequences interpolated by higher degree polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4563","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":"1310.4563","created_at":"2026-05-18T02:17:12.479223+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.4563v2","created_at":"2026-05-18T02:17:12.479223+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4563","created_at":"2026-05-18T02:17:12.479223+00:00"},{"alias_kind":"pith_short_12","alias_value":"CIPFNXEK7QHH","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"CIPFNXEK7QHHEUXX","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"CIPFNXEK","created_at":"2026-05-18T12:27:40.988391+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/CIPFNXEK7QHHEUXXUIUFLVENZX","json":"https://pith.science/pith/CIPFNXEK7QHHEUXXUIUFLVENZX.json","graph_json":"https://pith.science/api/pith-number/CIPFNXEK7QHHEUXXUIUFLVENZX/graph.json","events_json":"https://pith.science/api/pith-number/CIPFNXEK7QHHEUXXUIUFLVENZX/events.json","paper":"https://pith.science/paper/CIPFNXEK"},"agent_actions":{"view_html":"https://pith.science/pith/CIPFNXEK7QHHEUXXUIUFLVENZX","download_json":"https://pith.science/pith/CIPFNXEK7QHHEUXXUIUFLVENZX.json","view_paper":"https://pith.science/paper/CIPFNXEK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.4563&json=true","fetch_graph":"https://pith.science/api/pith-number/CIPFNXEK7QHHEUXXUIUFLVENZX/graph.json","fetch_events":"https://pith.science/api/pith-number/CIPFNXEK7QHHEUXXUIUFLVENZX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CIPFNXEK7QHHEUXXUIUFLVENZX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CIPFNXEK7QHHEUXXUIUFLVENZX/action/storage_attestation","attest_author":"https://pith.science/pith/CIPFNXEK7QHHEUXXUIUFLVENZX/action/author_attestation","sign_citation":"https://pith.science/pith/CIPFNXEK7QHHEUXXUIUFLVENZX/action/citation_signature","submit_replication":"https://pith.science/pith/CIPFNXEK7QHHEUXXUIUFLVENZX/action/replication_record"}},"created_at":"2026-05-18T02:17:12.479223+00:00","updated_at":"2026-05-18T02:17:12.479223+00:00"}