{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:H4IJBMBXD22R3AJLN2JDOWYGXJ","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":"84a67e54deb0f82fef2c60a83b4c23d84463cca59801128a6891f523e02e56b1","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-07-17T10:35:13Z","title_canon_sha256":"749817d8572ca490b77d56bb354aa8a3182e0d4f116fda69b159a238a6085b85"},"schema_version":"1.0","source":{"id":"1907.07431","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.07431","created_at":"2026-07-05T08:19:17Z"},{"alias_kind":"arxiv_version","alias_value":"1907.07431v3","created_at":"2026-07-05T08:19:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.07431","created_at":"2026-07-05T08:19:17Z"},{"alias_kind":"pith_short_12","alias_value":"H4IJBMBXD22R","created_at":"2026-07-05T08:19:17Z"},{"alias_kind":"pith_short_16","alias_value":"H4IJBMBXD22R3AJL","created_at":"2026-07-05T08:19:17Z"},{"alias_kind":"pith_short_8","alias_value":"H4IJBMBX","created_at":"2026-07-05T08:19:17Z"}],"graph_snapshots":[{"event_id":"sha256:ef5bf46935af7eed513053ee796768fa117e45942842c3a233e12497d903f025","target":"graph","created_at":"2026-07-05T08:19:17Z","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/1907.07431/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We determine the structure of the graded ring of Siegel modular forms of degree 3. It is generated by 19 modular forms, among which we identify a homogeneous system of parameters with 7 forms of weights 4, 12, 12, 14, 18, 20 and 30. We also give a complete dictionary between the Dixmier-Ohno invariants of ternary quartics and the above generators.","authors_text":"Christophe Ritzenthaler, Reynald Lercier","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-07-17T10:35:13Z","title":"Siegel modular forms of degree three and invariants of ternary quartics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.07431","kind":"arxiv","version":3},"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":"sha256:37733d5f872d6f995785be5f2c756941f6cd7400b8356da4aa98d6d8253e020e","target":"record","created_at":"2026-07-05T08:19:17Z","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":"84a67e54deb0f82fef2c60a83b4c23d84463cca59801128a6891f523e02e56b1","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-07-17T10:35:13Z","title_canon_sha256":"749817d8572ca490b77d56bb354aa8a3182e0d4f116fda69b159a238a6085b85"},"schema_version":"1.0","source":{"id":"1907.07431","kind":"arxiv","version":3}},"canonical_sha256":"3f1090b0371eb51d812b6e92375b06ba5cbaf5c1c03575c82e7cb6851ebede33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f1090b0371eb51d812b6e92375b06ba5cbaf5c1c03575c82e7cb6851ebede33","first_computed_at":"2026-07-05T08:19:17.388605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:19:17.388605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q0gveCF4sWQykcoGoLs/4Ru7oIISlr/BIP3X5mWaqfBmAXIl/fECtLKkQZ87W+i6gwz4lt6IXLopvfKZPZgCCA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:19:17.389030Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.07431","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37733d5f872d6f995785be5f2c756941f6cd7400b8356da4aa98d6d8253e020e","sha256:ef5bf46935af7eed513053ee796768fa117e45942842c3a233e12497d903f025"],"state_sha256":"2db37652461652625c56c708dbf4324cc7040612eb7c29eab8fd669f74208dc7"}