{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:ZOPJOTEL27HX7V2HM6TATAPFFQ","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":"953bfb879659a27919218deed270a733c42d24c354d15b2e5b329836eb5d5f09","cross_cats_sorted":[],"license":"","primary_cat":"math.CO","submitted_at":"1998-05-28T23:00:30Z","title_canon_sha256":"7cc1aef10063c605169922d58d6cf77586ec975272b9d51f0d64eb5008effaf2"},"schema_version":"1.0","source":{"id":"math/9805137","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9805137","created_at":"2026-05-18T01:05:33Z"},{"alias_kind":"arxiv_version","alias_value":"math/9805137v1","created_at":"2026-05-18T01:05:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9805137","created_at":"2026-05-18T01:05:33Z"},{"alias_kind":"pith_short_12","alias_value":"ZOPJOTEL27HX","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZOPJOTEL27HX7V2H","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZOPJOTEL","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:c4652b063c82843ab3c19e09e8329a4d1176ae18a52dac8de4d0a91dd9039fe5","target":"graph","created_at":"2026-05-18T01:05:33Z","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":"It is remarked that Dave Robbins's Expression for the integral of an alternant over the unit simplex (math.CO/9805108) follows immediately from an excercise in Polya-Szego.","authors_text":"Doron Zeilberger (Temple University)","cross_cats":[],"headline":"","license":"","primary_cat":"math.CO","submitted_at":"1998-05-28T23:00:30Z","title":"Aufgabe VII.47 of Polya-Szego Implies Robbins's Multi-Integral Evaluation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9805137","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:baac8ea08150ee8125f5a33f19ec930d57b6e1790e45ed900be3b988f71f2186","target":"record","created_at":"2026-05-18T01:05:33Z","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":"953bfb879659a27919218deed270a733c42d24c354d15b2e5b329836eb5d5f09","cross_cats_sorted":[],"license":"","primary_cat":"math.CO","submitted_at":"1998-05-28T23:00:30Z","title_canon_sha256":"7cc1aef10063c605169922d58d6cf77586ec975272b9d51f0d64eb5008effaf2"},"schema_version":"1.0","source":{"id":"math/9805137","kind":"arxiv","version":1}},"canonical_sha256":"cb9e974c8bd7cf7fd74767a60981e52c293afd84247906feb8a8c588077bfedd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb9e974c8bd7cf7fd74767a60981e52c293afd84247906feb8a8c588077bfedd","first_computed_at":"2026-05-18T01:05:33.986440Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:33.986440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FKtV4mOoV18tnb+diBID6zpa8PJ+1O2Zx9sKEExEczlHab0y0/vqvlRSGgu7ejldjI/Rc52WlWm2p/JqA8npBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:33.987079Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9805137","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:baac8ea08150ee8125f5a33f19ec930d57b6e1790e45ed900be3b988f71f2186","sha256:c4652b063c82843ab3c19e09e8329a4d1176ae18a52dac8de4d0a91dd9039fe5"],"state_sha256":"c21fe9d3d0edd3cf8b105c60e72caeb0031eb28593351b0fc0d69aed36b4d414"}