{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:KC3LILKYECDJ5AKDXXGYTSY2PN","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":"0fc70571e55d37aacf5bd594bbe17c3b747868c81e3b9b5d423a19dbb4d05d39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2009-07-14T11:14:16Z","title_canon_sha256":"2925c7db460f15e3939ef260e39f7c264d3e23f995692a56fc8f41d89c66ac81"},"schema_version":"1.0","source":{"id":"0907.2328","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.2328","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"arxiv_version","alias_value":"0907.2328v2","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.2328","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"pith_short_12","alias_value":"KC3LILKYECDJ","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"KC3LILKYECDJ5AKD","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"KC3LILKY","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:cfc65f87c52e75dd728dda4e2e82bbb3823bee140369bc8558eb4dd1d68e31dd","target":"graph","created_at":"2026-05-18T00:20:45Z","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":"We point out how Banach Fixed Point Theorem, and the Picard successive approximation methods induced by it, allows us to treat some mathematical methods in Combinatorics. In particular we get, by this way, a proof and an iterative algorithm for the Lagrange Inversion Formula.","authors_text":"Ana Luzon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2009-07-14T11:14:16Z","title":"Iterative Processes Related to Riordan Arrays: The Reciprocation and the Inversion of Power Series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.2328","kind":"arxiv","version":2},"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":"sha256:6966cf8370b654e57af54b4bfb2494db7e419c2f2c953461f557a8d53c9dd43d","target":"record","created_at":"2026-05-18T00:20:45Z","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":"0fc70571e55d37aacf5bd594bbe17c3b747868c81e3b9b5d423a19dbb4d05d39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2009-07-14T11:14:16Z","title_canon_sha256":"2925c7db460f15e3939ef260e39f7c264d3e23f995692a56fc8f41d89c66ac81"},"schema_version":"1.0","source":{"id":"0907.2328","kind":"arxiv","version":2}},"canonical_sha256":"50b6b42d5820869e8143bdcd89cb1a7b66dc95c81291eff9dadca60e4911b8ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50b6b42d5820869e8143bdcd89cb1a7b66dc95c81291eff9dadca60e4911b8ba","first_computed_at":"2026-05-18T00:20:45.123550Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:45.123550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3Q8pkyqJFQjzpGTCg7atO/EfX/b85zw+Xef7mlOzLjycHYDyrhVVJ9lQj5WAfzHAiL8CUzN1FzjREevmI8ijAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:45.124132Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.2328","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6966cf8370b654e57af54b4bfb2494db7e419c2f2c953461f557a8d53c9dd43d","sha256:cfc65f87c52e75dd728dda4e2e82bbb3823bee140369bc8558eb4dd1d68e31dd"],"state_sha256":"0e431c5948bd18ca94f33256f501adf22a7589ab325f6194df6579987cf18803"}