{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XAQE3JGX7JERALIRVGKICMPZV7","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":"5224e66b00497799c861d6f40de79428dbbc0c3d7f2950b5819250f106d292a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2015-03-08T02:20:14Z","title_canon_sha256":"deb2abee8895218427921e73dd52bd8f31d3bc4939a7b187a44aefd434443c78"},"schema_version":"1.0","source":{"id":"1503.02239","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02239","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02239v1","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02239","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"XAQE3JGX7JER","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XAQE3JGX7JERALIR","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XAQE3JGX","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:6de400c7b33321f2aa8e741f684dfdac314a66481b917d9931181fceff3479e7","target":"graph","created_at":"2026-05-18T02:25:25Z","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 algorithm that determines the Galois group of linear difference equations with rational function coefficients.","authors_text":"Ruyong Feng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2015-03-08T02:20:14Z","title":"On the Computation of the Galois Group of Linear Difference Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02239","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":"sha256:424843075408bce260ac05439965e21f05069f365c1eded8b924f96e6faf519f","target":"record","created_at":"2026-05-18T02:25:25Z","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":"5224e66b00497799c861d6f40de79428dbbc0c3d7f2950b5819250f106d292a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2015-03-08T02:20:14Z","title_canon_sha256":"deb2abee8895218427921e73dd52bd8f31d3bc4939a7b187a44aefd434443c78"},"schema_version":"1.0","source":{"id":"1503.02239","kind":"arxiv","version":1}},"canonical_sha256":"b8204da4d7fa49102d11a9948131f9afe55edab675b69d5bac1e1da2dd39e0c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8204da4d7fa49102d11a9948131f9afe55edab675b69d5bac1e1da2dd39e0c6","first_computed_at":"2026-05-18T02:25:25.508416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:25.508416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LZ20memCEIVHobOwMDM5kSGya1pR4lewyj9D9ctcHVdnYTg1vPWnxomzONnrVQJQw22Va2mPZC6/H+EPDG1qAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:25.508862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.02239","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:424843075408bce260ac05439965e21f05069f365c1eded8b924f96e6faf519f","sha256:6de400c7b33321f2aa8e741f684dfdac314a66481b917d9931181fceff3479e7"],"state_sha256":"0522b94815738a47b1a9c5eaa97229f3a4baa548b73ce4ec2c820c3e91fa5c93"}