{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ALV526JEGKIVUIKA47BS6UXGY6","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":"994f745a94a64edb00aeb2128f368217ff73d922becbb091bc1b6d7a5ba9d792","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-29T15:01:52Z","title_canon_sha256":"a902eb495b08f5b9b3b338c5204b984f55c71261323b75ef378ac75f83920381"},"schema_version":"1.0","source":{"id":"1412.8360","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.8360","created_at":"2026-05-18T02:30:23Z"},{"alias_kind":"arxiv_version","alias_value":"1412.8360v1","created_at":"2026-05-18T02:30:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8360","created_at":"2026-05-18T02:30:23Z"},{"alias_kind":"pith_short_12","alias_value":"ALV526JEGKIV","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"ALV526JEGKIVUIKA","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"ALV526JE","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:b049d7c4ee78b5161a1d51e2fd0e0bfb1615e6b50eba4fc0b20ecd14619fb5ca","target":"graph","created_at":"2026-05-18T02:30:23Z","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":"We present an empirical-yet-rigorous approach for solving a wide class of functional equations, thereby automating many results that previously required considerable human ingenuity and human labor.","authors_text":"Doron Zeilberger, Ira M. Gessel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-29T15:01:52Z","title":"An Empirical Method for Solving (rigorously!) Algebraic Functional Equations Of the Form F(P(x,t), P(x,1),x,t)=0"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8360","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:ea0fe683eccc0619a53bb8cce128dd5704633be2bcb766d075eab6b9aa6e3824","target":"record","created_at":"2026-05-18T02:30:23Z","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":"994f745a94a64edb00aeb2128f368217ff73d922becbb091bc1b6d7a5ba9d792","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-29T15:01:52Z","title_canon_sha256":"a902eb495b08f5b9b3b338c5204b984f55c71261323b75ef378ac75f83920381"},"schema_version":"1.0","source":{"id":"1412.8360","kind":"arxiv","version":1}},"canonical_sha256":"02ebdd792432915a2140e7c32f52e6c7984f0d2e5ea9e0c54f97b7401010ead2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02ebdd792432915a2140e7c32f52e6c7984f0d2e5ea9e0c54f97b7401010ead2","first_computed_at":"2026-05-18T02:30:23.412393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:23.412393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6io5pQctuQa1m1R+UU4S1yu5IIKeF2SN+YOlhnUhd/4RuntWQMhi3XQlGzp+h8TZ4S4ZQss/jtNmYdihdG7IAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:23.412886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.8360","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea0fe683eccc0619a53bb8cce128dd5704633be2bcb766d075eab6b9aa6e3824","sha256:b049d7c4ee78b5161a1d51e2fd0e0bfb1615e6b50eba4fc0b20ecd14619fb5ca"],"state_sha256":"46ee05aef8046f714346deb651146d2e20a721b68c1ffde4fcb5a94d19ae0310"}