{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PTBV34FFCE2KLD7XHYUUKNTPNH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"70609a8a8fb5c1ce2c8cf41d82827e0180181f81eb519c1c925007df0ee883dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-01-18T01:05:35Z","title_canon_sha256":"b28cef771e95f8a7cd939fdb2718dce07ef90cdb73e2ec975bbf070712dc38d4"},"schema_version":"1.0","source":{"id":"1601.04377","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04377","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04377v1","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04377","created_at":"2026-05-18T01:22:45Z"},{"alias_kind":"pith_short_12","alias_value":"PTBV34FFCE2K","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PTBV34FFCE2KLD7X","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PTBV34FF","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:e3f773cde9e666304c6f291f763fd48bb3622387aaa535cf0bd3973c3d568554","target":"graph","created_at":"2026-05-18T01:22:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In his paper of 2000, Kenneth B. Stolarsky made various observations and conjectures about discriminants and generating functions of certain types of Chebyshev-like polynomials. We prove several of these conjectures. One of our proofs involves Wilf-Zeilberger pairs and a contiguous relation for hypergeometric series.","authors_text":"Khang Tran","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-01-18T01:05:35Z","title":"Discriminants of Chebyshev-like polynomials and their generating functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04377","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5fb89f8e239268f91ca124b12a64c22c2857ca216477e9fff54ce6e8cc0c498b","target":"record","created_at":"2026-05-18T01:22:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"70609a8a8fb5c1ce2c8cf41d82827e0180181f81eb519c1c925007df0ee883dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-01-18T01:05:35Z","title_canon_sha256":"b28cef771e95f8a7cd939fdb2718dce07ef90cdb73e2ec975bbf070712dc38d4"},"schema_version":"1.0","source":{"id":"1601.04377","kind":"arxiv","version":1}},"canonical_sha256":"7cc35df0a51134a58ff73e2945366f69fe3854e2fe1a18860e84daf974b5b7cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cc35df0a51134a58ff73e2945366f69fe3854e2fe1a18860e84daf974b5b7cc","first_computed_at":"2026-05-18T01:22:45.231107Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:45.231107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4k7GBhM3eZWQTuVoGq8etU64tUrVkmCsk6jU1W42ACYP+rCWtMESQR2s/TgF2HIxbL3dPD/Sc8h3UBvAOulGDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:45.231543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04377","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fb89f8e239268f91ca124b12a64c22c2857ca216477e9fff54ce6e8cc0c498b","sha256:e3f773cde9e666304c6f291f763fd48bb3622387aaa535cf0bd3973c3d568554"],"state_sha256":"4ba7244e1f627873b6d52afa6cc5d1edd609f2012e2c6eee8c9d2b8eff3e1262"}