{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NUXOR5WTG7F35WMAA7TA62LWNB","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":"55d69f44aaf278ee95a2b29ae2103cf653e9df7b7339118ef38f92941c25153d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.CO","submitted_at":"2025-01-29T23:59:50Z","title_canon_sha256":"4a34697129df0f7922037489a3b1ed49430ecf0f8718f1e697099234216fbeea"},"schema_version":"1.0","source":{"id":"2501.18061","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.18061","created_at":"2026-07-05T10:24:30Z"},{"alias_kind":"arxiv_version","alias_value":"2501.18061v2","created_at":"2026-07-05T10:24:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.18061","created_at":"2026-07-05T10:24:30Z"},{"alias_kind":"pith_short_12","alias_value":"NUXOR5WTG7F3","created_at":"2026-07-05T10:24:30Z"},{"alias_kind":"pith_short_16","alias_value":"NUXOR5WTG7F35WMA","created_at":"2026-07-05T10:24:30Z"},{"alias_kind":"pith_short_8","alias_value":"NUXOR5WT","created_at":"2026-07-05T10:24:30Z"}],"graph_snapshots":[{"event_id":"sha256:221f058d88ef5d8ea5c1d97069370fa95b516a0884528841dfcebb800cc962a5","target":"graph","created_at":"2026-07-05T10:24:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.18061/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In 1981, Adriano Garsia and Steve Milne found the first bijective proof of the celebrated Rogers-Ramanujan identities. To achieve this feat, they invented a versatile tool that they called the Involution Principle. In this note we revisit this useful principle from a very general perspective, independent of its application to specific combinatorial identities, and will explore its complexity.","authors_text":"Doron Zeilberger, Shalosh B. Ekhad","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.CO","submitted_at":"2025-01-29T23:59:50Z","title":"Experimenting with the Garsia-Milne Involution Principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.18061","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:aa672f2ed9f9883732bf0a9faf437b1b1f534b0f4f9e5ad20bc1a7534250c927","target":"record","created_at":"2026-07-05T10:24:30Z","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":"55d69f44aaf278ee95a2b29ae2103cf653e9df7b7339118ef38f92941c25153d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.CO","submitted_at":"2025-01-29T23:59:50Z","title_canon_sha256":"4a34697129df0f7922037489a3b1ed49430ecf0f8718f1e697099234216fbeea"},"schema_version":"1.0","source":{"id":"2501.18061","kind":"arxiv","version":2}},"canonical_sha256":"6d2ee8f6d337cbbed98007e60f6976684656448ad2e5ed0de898c925bc9e755f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d2ee8f6d337cbbed98007e60f6976684656448ad2e5ed0de898c925bc9e755f","first_computed_at":"2026-07-05T10:24:30.440516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:24:30.440516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Smu4e0ZmWfiV5PI/kjF+QxB42+u9AB/bIXTN1HL3MAUi8lBDBlMI30Aiqg+1yB2jk6t/E5DDWVOIqXJBfuPxCg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:24:30.441084Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.18061","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa672f2ed9f9883732bf0a9faf437b1b1f534b0f4f9e5ad20bc1a7534250c927","sha256:221f058d88ef5d8ea5c1d97069370fa95b516a0884528841dfcebb800cc962a5"],"state_sha256":"5e0607e498d09476b97b7e05f514f13ebe0dc5fb26497a2d1ecec1d15c936938"}