{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:EFRX2ERKUHSSES42FKBJJ552ID","short_pith_number":"pith:EFRX2ERK","schema_version":"1.0","canonical_sha256":"21637d122aa1e5224b9a2a8294f7ba40d3ce3448a40eb4d23c93f9e58adeb6e2","source":{"kind":"arxiv","id":"1301.2967","version":1},"attestation_state":"computed","paper":{"title":"Recurrence relations versus succession rules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"cs.DM","authors_text":"Elisa Pergola, Renzo Pinzani, Simone Rinaldi, Stefano Bilotta","submitted_at":"2013-01-14T13:24:57Z","abstract_excerpt":"In this paper we present a method to pass from a recurrence relation having constant coefficients (in short, a C-recurrence) to a finite succession rule defining the same number sequence. We recall that succession rules are a recently studied tool for the enumeration of combinatorial objects related to the ECO method. We also discuss the applicability of our method as a test for the positivity of a number sequence."},"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":"1301.2967","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2013-01-14T13:24:57Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"0b62cb17eb1bf25227d3868e7d875c48c3dfbf44bc50f24fdeb493bd5b7e37e9","abstract_canon_sha256":"8c985f7d68e6d126da801f7c15dea5ae4a7c67cc88312037888b4887ee20fbc1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:27.709887Z","signature_b64":"8fMH1BtaT+y7ZQdbtfJHK0yQLryvFPsQSEiDtSZFlxxiItgMU7mgA/eRfHyjNrO6rn/NjSucn+SO3WtgPBUSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21637d122aa1e5224b9a2a8294f7ba40d3ce3448a40eb4d23c93f9e58adeb6e2","last_reissued_at":"2026-05-18T03:36:27.709508Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:27.709508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Recurrence relations versus succession rules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"cs.DM","authors_text":"Elisa Pergola, Renzo Pinzani, Simone Rinaldi, Stefano Bilotta","submitted_at":"2013-01-14T13:24:57Z","abstract_excerpt":"In this paper we present a method to pass from a recurrence relation having constant coefficients (in short, a C-recurrence) to a finite succession rule defining the same number sequence. We recall that succession rules are a recently studied tool for the enumeration of combinatorial objects related to the ECO method. We also discuss the applicability of our method as a test for the positivity of a number sequence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2967","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":"1301.2967","created_at":"2026-05-18T03:36:27.709560+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.2967v1","created_at":"2026-05-18T03:36:27.709560+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2967","created_at":"2026-05-18T03:36:27.709560+00:00"},{"alias_kind":"pith_short_12","alias_value":"EFRX2ERKUHSS","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"EFRX2ERKUHSSES42","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"EFRX2ERK","created_at":"2026-05-18T12:27:43.054852+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/EFRX2ERKUHSSES42FKBJJ552ID","json":"https://pith.science/pith/EFRX2ERKUHSSES42FKBJJ552ID.json","graph_json":"https://pith.science/api/pith-number/EFRX2ERKUHSSES42FKBJJ552ID/graph.json","events_json":"https://pith.science/api/pith-number/EFRX2ERKUHSSES42FKBJJ552ID/events.json","paper":"https://pith.science/paper/EFRX2ERK"},"agent_actions":{"view_html":"https://pith.science/pith/EFRX2ERKUHSSES42FKBJJ552ID","download_json":"https://pith.science/pith/EFRX2ERKUHSSES42FKBJJ552ID.json","view_paper":"https://pith.science/paper/EFRX2ERK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.2967&json=true","fetch_graph":"https://pith.science/api/pith-number/EFRX2ERKUHSSES42FKBJJ552ID/graph.json","fetch_events":"https://pith.science/api/pith-number/EFRX2ERKUHSSES42FKBJJ552ID/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EFRX2ERKUHSSES42FKBJJ552ID/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EFRX2ERKUHSSES42FKBJJ552ID/action/storage_attestation","attest_author":"https://pith.science/pith/EFRX2ERKUHSSES42FKBJJ552ID/action/author_attestation","sign_citation":"https://pith.science/pith/EFRX2ERKUHSSES42FKBJJ552ID/action/citation_signature","submit_replication":"https://pith.science/pith/EFRX2ERKUHSSES42FKBJJ552ID/action/replication_record"}},"created_at":"2026-05-18T03:36:27.709560+00:00","updated_at":"2026-05-18T03:36:27.709560+00:00"}