{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:FKSLA6NFVIXHE53QUASR2LPVMB","short_pith_number":"pith:FKSLA6NF","schema_version":"1.0","canonical_sha256":"2aa4b079a5aa2e727770a0251d2df56051ce18b0c55b66d481f418a56a136b89","source":{"kind":"arxiv","id":"1910.09482","version":2},"attestation_state":"computed","paper":{"title":"Power Partitions and Semi-m-Fibonacci Partitions","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Abdulaziz M. Alanazi, Augustine O. Munagi, Darlison Nyirenda","submitted_at":"2019-10-21T16:18:50Z","abstract_excerpt":"George Andrews recently proved a new identity between the cardinalities of the set of Semi-Fibonacci partitions and the set of partitions into powers of two with all parts appearing an odd number of times. This paper extends the identity to the set of Semi-$m$-Fibonacci partitions of $n$ and the set of partitions of $n$ into powers of $m$ in which all parts appear with multiplicity not divisible by $m$."},"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":"1910.09482","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.CO","submitted_at":"2019-10-21T16:18:50Z","cross_cats_sorted":[],"title_canon_sha256":"27f25d0f186abf94a3d42f40c7e2e04ab35a1dfd922075e539e89033ea709545","abstract_canon_sha256":"9c49c14babce882cdcb214bd72d1743aa7413d339b8f437f38042852cfae8d23"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:20:21.132301Z","signature_b64":"StRa48n1tzxTtrHE54x+sBtA0IMAvcgCF2n/8c+3gfMUVXNkv8xIO0LER0JKQBGOhYgJ+5/zbHAGjsrfAnuODg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2aa4b079a5aa2e727770a0251d2df56051ce18b0c55b66d481f418a56a136b89","last_reissued_at":"2026-07-05T00:20:21.131917Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:20:21.131917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Power Partitions and Semi-m-Fibonacci Partitions","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Abdulaziz M. Alanazi, Augustine O. Munagi, Darlison Nyirenda","submitted_at":"2019-10-21T16:18:50Z","abstract_excerpt":"George Andrews recently proved a new identity between the cardinalities of the set of Semi-Fibonacci partitions and the set of partitions into powers of two with all parts appearing an odd number of times. This paper extends the identity to the set of Semi-$m$-Fibonacci partitions of $n$ and the set of partitions of $n$ into powers of $m$ in which all parts appear with multiplicity not divisible by $m$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.09482","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/1910.09482/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":"1910.09482","created_at":"2026-07-05T00:20:21.131973+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.09482v2","created_at":"2026-07-05T00:20:21.131973+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.09482","created_at":"2026-07-05T00:20:21.131973+00:00"},{"alias_kind":"pith_short_12","alias_value":"FKSLA6NFVIXH","created_at":"2026-07-05T00:20:21.131973+00:00"},{"alias_kind":"pith_short_16","alias_value":"FKSLA6NFVIXHE53Q","created_at":"2026-07-05T00:20:21.131973+00:00"},{"alias_kind":"pith_short_8","alias_value":"FKSLA6NF","created_at":"2026-07-05T00:20:21.131973+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/FKSLA6NFVIXHE53QUASR2LPVMB","json":"https://pith.science/pith/FKSLA6NFVIXHE53QUASR2LPVMB.json","graph_json":"https://pith.science/api/pith-number/FKSLA6NFVIXHE53QUASR2LPVMB/graph.json","events_json":"https://pith.science/api/pith-number/FKSLA6NFVIXHE53QUASR2LPVMB/events.json","paper":"https://pith.science/paper/FKSLA6NF"},"agent_actions":{"view_html":"https://pith.science/pith/FKSLA6NFVIXHE53QUASR2LPVMB","download_json":"https://pith.science/pith/FKSLA6NFVIXHE53QUASR2LPVMB.json","view_paper":"https://pith.science/paper/FKSLA6NF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.09482&json=true","fetch_graph":"https://pith.science/api/pith-number/FKSLA6NFVIXHE53QUASR2LPVMB/graph.json","fetch_events":"https://pith.science/api/pith-number/FKSLA6NFVIXHE53QUASR2LPVMB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FKSLA6NFVIXHE53QUASR2LPVMB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FKSLA6NFVIXHE53QUASR2LPVMB/action/storage_attestation","attest_author":"https://pith.science/pith/FKSLA6NFVIXHE53QUASR2LPVMB/action/author_attestation","sign_citation":"https://pith.science/pith/FKSLA6NFVIXHE53QUASR2LPVMB/action/citation_signature","submit_replication":"https://pith.science/pith/FKSLA6NFVIXHE53QUASR2LPVMB/action/replication_record"}},"created_at":"2026-07-05T00:20:21.131973+00:00","updated_at":"2026-07-05T00:20:21.131973+00:00"}