{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2VLBIMFOO4O2FHCWVIFNO22Q4U","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":"84de0a75dbffb15369a2cd41c2e0194372bf8f192ab9967eef7700b96408fcf5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-15T08:27:40Z","title_canon_sha256":"963349fbddc2c20dce40909e29ce03eb8e8eb59f834c8e412b3639212816df67"},"schema_version":"1.0","source":{"id":"1606.04673","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.04673","created_at":"2026-05-18T01:12:24Z"},{"alias_kind":"arxiv_version","alias_value":"1606.04673v1","created_at":"2026-05-18T01:12:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.04673","created_at":"2026-05-18T01:12:24Z"},{"alias_kind":"pith_short_12","alias_value":"2VLBIMFOO4O2","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2VLBIMFOO4O2FHCW","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2VLBIMFO","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:07fcd9b33b9865b0e6924783a16a67a2ba81ffcee9fe9462487126496ba117c4","target":"graph","created_at":"2026-05-18T01:12:24Z","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 this paper, we consider an analogue of Catalan polynomials and give some identities of symmetry for those polynomials by using fermionic $p$-adic integrals on the ring of $p$-adic integers","authors_text":"Dae San Kim, Jong-Jin Seo, Taekyun Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-15T08:27:40Z","title":"Symmetric identities for an analogue of Catalan polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.04673","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":"sha256:587863c33b8eda38009e66d7048b8734ed144766cc8d8963adf2a72d2ff792e2","target":"record","created_at":"2026-05-18T01:12:24Z","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":"84de0a75dbffb15369a2cd41c2e0194372bf8f192ab9967eef7700b96408fcf5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-15T08:27:40Z","title_canon_sha256":"963349fbddc2c20dce40909e29ce03eb8e8eb59f834c8e412b3639212816df67"},"schema_version":"1.0","source":{"id":"1606.04673","kind":"arxiv","version":1}},"canonical_sha256":"d5561430ae771da29c56aa0ad76b50e53e2e48a4bd70097e977c409ca04cc90c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5561430ae771da29c56aa0ad76b50e53e2e48a4bd70097e977c409ca04cc90c","first_computed_at":"2026-05-18T01:12:24.603132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:24.603132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2IipASzgp1WL1PwC4VmuPaYWVUd+4jeDdaaFiEBU3Y+VH2GolOky0tQF1+PXnFqsFYF+fZySSSichgIXQZPoCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:24.603467Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.04673","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:587863c33b8eda38009e66d7048b8734ed144766cc8d8963adf2a72d2ff792e2","sha256:07fcd9b33b9865b0e6924783a16a67a2ba81ffcee9fe9462487126496ba117c4"],"state_sha256":"4a213b41464991923e89ec3a6213583a2941125758dd81c80c5f61e063409d35"}