{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3IV5FD6NVJXV4GY6DECU7HJMXQ","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":"acad5c110924c94fe13ee77b22897067a1e6a316648aeedf544de8ae2583cca5","cross_cats_sorted":["math.AC","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-08-29T23:18:16Z","title_canon_sha256":"0fdbf6a1630f66dc9b12d7a3506157b7b6339c15eae905bd1cc9ac99c8d960be"},"schema_version":"1.0","source":{"id":"1308.6624","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6624","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6624v1","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6624","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"3IV5FD6NVJXV","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3IV5FD6NVJXV4GY6","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3IV5FD6N","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:71df17de6fa7f4f6457016fc69612426afd98179dc6ca59264de231864b9f93c","target":"graph","created_at":"2026-05-18T03:14:38Z","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":"It was conjectured in a recent article by M. Eastwood and the second author that all absolute classical invariants of forms of degree $m\\ge 3$ on ${\\mathbb C}^n$ can be extracted, in a canonical way, from those of forms of degree $n(m-2)$ by means of assigning every form with non-vanishing discriminant the so-called associated form. In that paper, this surprising conjecture was confirmed for binary forms of degree $m \\le 6$ and ternary cubics. In the present article, we settle the conjecture in full generality. In addition, we propose a stronger version of this statement and obtain evidence su","authors_text":"Alexander Isaev, Jarod Alper","cross_cats":["math.AC","math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-08-29T23:18:16Z","title":"Associated Forms in Classical Invariant Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6624","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:d6d24acb2a8dfed94dddef44211a21e8fa9df05288d7eeaab12c2e1a66b3e415","target":"record","created_at":"2026-05-18T03:14:38Z","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":"acad5c110924c94fe13ee77b22897067a1e6a316648aeedf544de8ae2583cca5","cross_cats_sorted":["math.AC","math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-08-29T23:18:16Z","title_canon_sha256":"0fdbf6a1630f66dc9b12d7a3506157b7b6339c15eae905bd1cc9ac99c8d960be"},"schema_version":"1.0","source":{"id":"1308.6624","kind":"arxiv","version":1}},"canonical_sha256":"da2bd28fcdaa6f5e1b1e19054f9d2cbc0e7fe273aa1b09c7d72dfdf16184e200","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da2bd28fcdaa6f5e1b1e19054f9d2cbc0e7fe273aa1b09c7d72dfdf16184e200","first_computed_at":"2026-05-18T03:14:38.616805Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:38.616805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5adNAcKmzSeMJka+xy8vEZQ7wXLR6rA9aCAOwAMVywnF9A0wkwL5nAEGBR7m/q8Gv3cKoZxzv06/ulcFLtfvAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:38.617556Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.6624","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6d24acb2a8dfed94dddef44211a21e8fa9df05288d7eeaab12c2e1a66b3e415","sha256:71df17de6fa7f4f6457016fc69612426afd98179dc6ca59264de231864b9f93c"],"state_sha256":"e73e49879e9d95805a2504337a4c33286a3f1188dcf141de6a2cadf45c595502"}