{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:MDHKDNQIATRVAMDSADTPCM2FFL","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":"24115f2780fa64a3c2e44e243f430c454385e8ccd9acbbca96e28d7ff55a5243","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-02-03T22:11:01Z","title_canon_sha256":"7393f8f657986e4e3b7469e8cbf338a6526cb257d22cc3e78b5745a15d38adcc"},"schema_version":"1.0","source":{"id":"1502.01051","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.01051","created_at":"2026-05-18T01:24:14Z"},{"alias_kind":"arxiv_version","alias_value":"1502.01051v2","created_at":"2026-05-18T01:24:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.01051","created_at":"2026-05-18T01:24:14Z"},{"alias_kind":"pith_short_12","alias_value":"MDHKDNQIATRV","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MDHKDNQIATRVAMDS","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MDHKDNQI","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:40c31a8e0dfecf24bff32dd530745450f14b757376551dd6dbd35ece1480a0e6","target":"graph","created_at":"2026-05-18T01:24:14Z","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 give a complete description of the complex and the real Waring ranks of reducible cubic forms over C.","authors_text":"Cheng Guo, Emanuele Ventura, Enrico Carlini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-02-03T22:11:01Z","title":"Complex and real ranks of reducible cubics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01051","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":"sha256:5bd8ec0b1aedfd194479ac22fc42b4d3460da037aafd9a0e42d28067abb8b85f","target":"record","created_at":"2026-05-18T01:24:14Z","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":"24115f2780fa64a3c2e44e243f430c454385e8ccd9acbbca96e28d7ff55a5243","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-02-03T22:11:01Z","title_canon_sha256":"7393f8f657986e4e3b7469e8cbf338a6526cb257d22cc3e78b5745a15d38adcc"},"schema_version":"1.0","source":{"id":"1502.01051","kind":"arxiv","version":2}},"canonical_sha256":"60cea1b60804e350307200e6f133452ae230b951b36a3121e4d27de7e598df2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60cea1b60804e350307200e6f133452ae230b951b36a3121e4d27de7e598df2a","first_computed_at":"2026-05-18T01:24:14.650362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:14.650362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CSFvgw3V1xyK8XzH9PlFaom2FMXL9TfDxoAfV2HbuRpt2ntGpF+yvdY+ISZSy5qigjzbR7WqmmauU4xg40EYDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:14.651053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.01051","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bd8ec0b1aedfd194479ac22fc42b4d3460da037aafd9a0e42d28067abb8b85f","sha256:40c31a8e0dfecf24bff32dd530745450f14b757376551dd6dbd35ece1480a0e6"],"state_sha256":"cc698b0af3fcf2989d4da80175c31841963b15700f43f3d16cd9522f5487315d"}