{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:3AWVXOKZFBZSHBFONUXZFZDZXJ","short_pith_number":"pith:3AWVXOKZ","schema_version":"1.0","canonical_sha256":"d82d5bb95928732384ae6d2f92e479ba7e541826f73a8e1b9ad9912e8c3d9eb2","source":{"kind":"arxiv","id":"1208.5151","version":1},"attestation_state":"computed","paper":{"title":"On some monotonic combinatorial sequences conjectures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.CO","authors_text":"Florian Luca, Pantelimon Stanica","submitted_at":"2012-08-25T17:28:09Z","abstract_excerpt":"Here we prove some conjectures on the monotony of combinatorial sequences from the recent preprint of Zhi--Wei Sun."},"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":"1208.5151","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-08-25T17:28:09Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"376a6a66e949b148c5f649f0ed18117820477f9c175565def99d261ab8339592","abstract_canon_sha256":"13d49b4d2c74c4cf37838e84e4279914e93567424efabf2c45d6768db401d72d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:47:00.271850Z","signature_b64":"5ubGTHcegBisFHaWIOdWeB9CNd2qRxtGsqRi3JsOamVqqS/69zWyUmxVJlZ0z1RbHS3LZFMQaJ3trISLwOg2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d82d5bb95928732384ae6d2f92e479ba7e541826f73a8e1b9ad9912e8c3d9eb2","last_reissued_at":"2026-05-18T03:47:00.271241Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:47:00.271241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On some monotonic combinatorial sequences conjectures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.CO","authors_text":"Florian Luca, Pantelimon Stanica","submitted_at":"2012-08-25T17:28:09Z","abstract_excerpt":"Here we prove some conjectures on the monotony of combinatorial sequences from the recent preprint of Zhi--Wei Sun."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5151","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":"1208.5151","created_at":"2026-05-18T03:47:00.271339+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.5151v1","created_at":"2026-05-18T03:47:00.271339+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5151","created_at":"2026-05-18T03:47:00.271339+00:00"},{"alias_kind":"pith_short_12","alias_value":"3AWVXOKZFBZS","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_16","alias_value":"3AWVXOKZFBZSHBFO","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_8","alias_value":"3AWVXOKZ","created_at":"2026-05-18T12:26:50.516681+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/3AWVXOKZFBZSHBFONUXZFZDZXJ","json":"https://pith.science/pith/3AWVXOKZFBZSHBFONUXZFZDZXJ.json","graph_json":"https://pith.science/api/pith-number/3AWVXOKZFBZSHBFONUXZFZDZXJ/graph.json","events_json":"https://pith.science/api/pith-number/3AWVXOKZFBZSHBFONUXZFZDZXJ/events.json","paper":"https://pith.science/paper/3AWVXOKZ"},"agent_actions":{"view_html":"https://pith.science/pith/3AWVXOKZFBZSHBFONUXZFZDZXJ","download_json":"https://pith.science/pith/3AWVXOKZFBZSHBFONUXZFZDZXJ.json","view_paper":"https://pith.science/paper/3AWVXOKZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.5151&json=true","fetch_graph":"https://pith.science/api/pith-number/3AWVXOKZFBZSHBFONUXZFZDZXJ/graph.json","fetch_events":"https://pith.science/api/pith-number/3AWVXOKZFBZSHBFONUXZFZDZXJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3AWVXOKZFBZSHBFONUXZFZDZXJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3AWVXOKZFBZSHBFONUXZFZDZXJ/action/storage_attestation","attest_author":"https://pith.science/pith/3AWVXOKZFBZSHBFONUXZFZDZXJ/action/author_attestation","sign_citation":"https://pith.science/pith/3AWVXOKZFBZSHBFONUXZFZDZXJ/action/citation_signature","submit_replication":"https://pith.science/pith/3AWVXOKZFBZSHBFONUXZFZDZXJ/action/replication_record"}},"created_at":"2026-05-18T03:47:00.271339+00:00","updated_at":"2026-05-18T03:47:00.271339+00:00"}