{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:CMVC3ML6Y4UAAT3M7CLEV7GRXH","short_pith_number":"pith:CMVC3ML6","schema_version":"1.0","canonical_sha256":"132a2db17ec728004f6cf8964afcd1b9eb3bebd60e04b3a9bf4315b58cb91588","source":{"kind":"arxiv","id":"2209.02588","version":1},"attestation_state":"computed","paper":{"title":"A generalization of Chu-Vandermonde's Identity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Mohsen Hooshmand, Seyed Saeed Naghibi","submitted_at":"2022-08-04T05:44:00Z","abstract_excerpt":"We present and prove a general form of Vandermonde's identity and use it as an alternative solution to a classic probability problem."},"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":"2209.02588","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2022-08-04T05:44:00Z","cross_cats_sorted":[],"title_canon_sha256":"28696fa706107624113d2c74bbb413ff4f2f35be323eef1b5c9de81bd1307620","abstract_canon_sha256":"15ca7ed3a32227831b083fe62e5397760e012eaccf25b8e5118abe9951669c85"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:55:12.815590Z","signature_b64":"jqMWvOuIaoqHLgioE1i8DCX5VqQxINl44xkXZzSvurAcBy1rJFqAi01dAh1jVODy18tF4lF17QvvaEugHuHaBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"132a2db17ec728004f6cf8964afcd1b9eb3bebd60e04b3a9bf4315b58cb91588","last_reissued_at":"2026-07-05T04:55:12.815148Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:55:12.815148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A generalization of Chu-Vandermonde's Identity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Mohsen Hooshmand, Seyed Saeed Naghibi","submitted_at":"2022-08-04T05:44:00Z","abstract_excerpt":"We present and prove a general form of Vandermonde's identity and use it as an alternative solution to a classic probability problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.02588","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2209.02588/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":"2209.02588","created_at":"2026-07-05T04:55:12.815208+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.02588v1","created_at":"2026-07-05T04:55:12.815208+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.02588","created_at":"2026-07-05T04:55:12.815208+00:00"},{"alias_kind":"pith_short_12","alias_value":"CMVC3ML6Y4UA","created_at":"2026-07-05T04:55:12.815208+00:00"},{"alias_kind":"pith_short_16","alias_value":"CMVC3ML6Y4UAAT3M","created_at":"2026-07-05T04:55:12.815208+00:00"},{"alias_kind":"pith_short_8","alias_value":"CMVC3ML6","created_at":"2026-07-05T04:55:12.815208+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.00862","citing_title":"Antipodal self-duality of square fishnet graphs","ref_index":50,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CMVC3ML6Y4UAAT3M7CLEV7GRXH","json":"https://pith.science/pith/CMVC3ML6Y4UAAT3M7CLEV7GRXH.json","graph_json":"https://pith.science/api/pith-number/CMVC3ML6Y4UAAT3M7CLEV7GRXH/graph.json","events_json":"https://pith.science/api/pith-number/CMVC3ML6Y4UAAT3M7CLEV7GRXH/events.json","paper":"https://pith.science/paper/CMVC3ML6"},"agent_actions":{"view_html":"https://pith.science/pith/CMVC3ML6Y4UAAT3M7CLEV7GRXH","download_json":"https://pith.science/pith/CMVC3ML6Y4UAAT3M7CLEV7GRXH.json","view_paper":"https://pith.science/paper/CMVC3ML6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.02588&json=true","fetch_graph":"https://pith.science/api/pith-number/CMVC3ML6Y4UAAT3M7CLEV7GRXH/graph.json","fetch_events":"https://pith.science/api/pith-number/CMVC3ML6Y4UAAT3M7CLEV7GRXH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CMVC3ML6Y4UAAT3M7CLEV7GRXH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CMVC3ML6Y4UAAT3M7CLEV7GRXH/action/storage_attestation","attest_author":"https://pith.science/pith/CMVC3ML6Y4UAAT3M7CLEV7GRXH/action/author_attestation","sign_citation":"https://pith.science/pith/CMVC3ML6Y4UAAT3M7CLEV7GRXH/action/citation_signature","submit_replication":"https://pith.science/pith/CMVC3ML6Y4UAAT3M7CLEV7GRXH/action/replication_record"}},"created_at":"2026-07-05T04:55:12.815208+00:00","updated_at":"2026-07-05T04:55:12.815208+00:00"}