{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:KZJVYF5EUQJ3ZH3UT2M2DC6L7W","short_pith_number":"pith:KZJVYF5E","schema_version":"1.0","canonical_sha256":"56535c17a4a413bc9f749e99a18bcbfdaa664666168a64fb9b4feddf4be093fa","source":{"kind":"arxiv","id":"1603.07799","version":1},"attestation_state":"computed","paper":{"title":"Nonlinear differential equations arising from Boole numbers and their applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dae San Kim, Taekyun Kim","submitted_at":"2016-03-25T01:17:38Z","abstract_excerpt":"In this paper, we study nonlinear differential equations satisfied by the generating function of Boole numbers. In addition, we derive some explicit and new interesting identities involving Boole numbers and higher-order numbers arising from our nonlinear differential equations."},"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":"1603.07799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-03-25T01:17:38Z","cross_cats_sorted":[],"title_canon_sha256":"09ef097247053aaf857716fadc1268a87ed2dd577b2193b4a2bddd68baaa02e9","abstract_canon_sha256":"245b6d624fb226bd8799afff1d638e5f643b579e57d089601da81aa0499ea5a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:17.806769Z","signature_b64":"B5g0WVzTXx0LF3xhQlS+YMy92eK03hphP47ISp5NBmriPHXcHfOHP3fUhnPRxk4Co7Zw+CNuSss62/My7k9BCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56535c17a4a413bc9f749e99a18bcbfdaa664666168a64fb9b4feddf4be093fa","last_reissued_at":"2026-05-18T01:18:17.806091Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:17.806091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear differential equations arising from Boole numbers and their applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dae San Kim, Taekyun Kim","submitted_at":"2016-03-25T01:17:38Z","abstract_excerpt":"In this paper, we study nonlinear differential equations satisfied by the generating function of Boole numbers. In addition, we derive some explicit and new interesting identities involving Boole numbers and higher-order numbers arising from our nonlinear differential equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07799","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":"1603.07799","created_at":"2026-05-18T01:18:17.806181+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.07799v1","created_at":"2026-05-18T01:18:17.806181+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07799","created_at":"2026-05-18T01:18:17.806181+00:00"},{"alias_kind":"pith_short_12","alias_value":"KZJVYF5EUQJ3","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_16","alias_value":"KZJVYF5EUQJ3ZH3U","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_8","alias_value":"KZJVYF5E","created_at":"2026-05-18T12:30:29.479603+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/KZJVYF5EUQJ3ZH3UT2M2DC6L7W","json":"https://pith.science/pith/KZJVYF5EUQJ3ZH3UT2M2DC6L7W.json","graph_json":"https://pith.science/api/pith-number/KZJVYF5EUQJ3ZH3UT2M2DC6L7W/graph.json","events_json":"https://pith.science/api/pith-number/KZJVYF5EUQJ3ZH3UT2M2DC6L7W/events.json","paper":"https://pith.science/paper/KZJVYF5E"},"agent_actions":{"view_html":"https://pith.science/pith/KZJVYF5EUQJ3ZH3UT2M2DC6L7W","download_json":"https://pith.science/pith/KZJVYF5EUQJ3ZH3UT2M2DC6L7W.json","view_paper":"https://pith.science/paper/KZJVYF5E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.07799&json=true","fetch_graph":"https://pith.science/api/pith-number/KZJVYF5EUQJ3ZH3UT2M2DC6L7W/graph.json","fetch_events":"https://pith.science/api/pith-number/KZJVYF5EUQJ3ZH3UT2M2DC6L7W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KZJVYF5EUQJ3ZH3UT2M2DC6L7W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KZJVYF5EUQJ3ZH3UT2M2DC6L7W/action/storage_attestation","attest_author":"https://pith.science/pith/KZJVYF5EUQJ3ZH3UT2M2DC6L7W/action/author_attestation","sign_citation":"https://pith.science/pith/KZJVYF5EUQJ3ZH3UT2M2DC6L7W/action/citation_signature","submit_replication":"https://pith.science/pith/KZJVYF5EUQJ3ZH3UT2M2DC6L7W/action/replication_record"}},"created_at":"2026-05-18T01:18:17.806181+00:00","updated_at":"2026-05-18T01:18:17.806181+00:00"}