{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:T6DSNVASLBNVTQWKBXYZLFORWZ","short_pith_number":"pith:T6DSNVAS","canonical_record":{"source":{"id":"1605.04459","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-05-14T19:20:52Z","cross_cats_sorted":[],"title_canon_sha256":"3375710d6cf865b5e2d53e061d6b215356758b06216901d28389592bdc52ae97","abstract_canon_sha256":"a227a8621f222a236e7427a01c8037e8c837ba767b7606eb90fadf9f8d923722"},"schema_version":"1.0"},"canonical_sha256":"9f8726d412585b59c2ca0df19595d1b64b6f1a180f9686a9220a0c29a209b42b","source":{"kind":"arxiv","id":"1605.04459","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04459","created_at":"2026-05-17T23:39:27Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04459v2","created_at":"2026-05-17T23:39:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04459","created_at":"2026-05-17T23:39:27Z"},{"alias_kind":"pith_short_12","alias_value":"T6DSNVASLBNV","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"T6DSNVASLBNVTQWK","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"T6DSNVAS","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:T6DSNVASLBNVTQWKBXYZLFORWZ","target":"record","payload":{"canonical_record":{"source":{"id":"1605.04459","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-05-14T19:20:52Z","cross_cats_sorted":[],"title_canon_sha256":"3375710d6cf865b5e2d53e061d6b215356758b06216901d28389592bdc52ae97","abstract_canon_sha256":"a227a8621f222a236e7427a01c8037e8c837ba767b7606eb90fadf9f8d923722"},"schema_version":"1.0"},"canonical_sha256":"9f8726d412585b59c2ca0df19595d1b64b6f1a180f9686a9220a0c29a209b42b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:27.998112Z","signature_b64":"b/zy8JWFBNzLXNg9G6CrFvx+TRcm3Av39Aov0Bb0TqJC3/Z0LTJ+7jROMtDjsUZerYo2jFi7c2nzPkqbCWDXCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f8726d412585b59c2ca0df19595d1b64b6f1a180f9686a9220a0c29a209b42b","last_reissued_at":"2026-05-17T23:39:27.997430Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:27.997430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.04459","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:39:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MSpKjlAJD+tNSV38B+PYIELpondXE89CIarXpMlmORIQCoI0e7DdrUEkUXryUkrpisQY423MeO9PN14y2ZbXDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T12:49:51.613576Z"},"content_sha256":"7cfab63dbfebe2776e05cbfdeeebcaa23188049226f9be093c689e8dd478f7d1","schema_version":"1.0","event_id":"sha256:7cfab63dbfebe2776e05cbfdeeebcaa23188049226f9be093c689e8dd478f7d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:T6DSNVASLBNVTQWKBXYZLFORWZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vector bundles on genus 2 curves and trivectors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Eric M. Rains, Steven V Sam","submitted_at":"2016-05-14T19:20:52Z","abstract_excerpt":"Given a complex curve C of genus 2, there is a well-known relationship between the moduli space of rank 3 semistable bundles on C and a cubic hypersurface known as the Coble cubic. Some of the aspects of this is known to be related to the geometric invariant theory of the third exterior power of a 9-dimensional complex vector space. We extend this relationship to arbitrary fields and study some of the connections to invariant theory, which will be studied more in-depth in a followup paper."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04459","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:39:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sc8T/M+k4de5MIequrNOLcQoyGKIqkhaJ8Ea5vmmbJHJOrk7ArjIJ06c5rCCamGQoXH+sGVJDcOClYKcUVA/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T12:49:51.614165Z"},"content_sha256":"e90f25df341d1141d641aec45bcc5806802ab9aad75037d41a56cb8923e78f20","schema_version":"1.0","event_id":"sha256:e90f25df341d1141d641aec45bcc5806802ab9aad75037d41a56cb8923e78f20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T6DSNVASLBNVTQWKBXYZLFORWZ/bundle.json","state_url":"https://pith.science/pith/T6DSNVASLBNVTQWKBXYZLFORWZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T6DSNVASLBNVTQWKBXYZLFORWZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-05T12:49:51Z","links":{"resolver":"https://pith.science/pith/T6DSNVASLBNVTQWKBXYZLFORWZ","bundle":"https://pith.science/pith/T6DSNVASLBNVTQWKBXYZLFORWZ/bundle.json","state":"https://pith.science/pith/T6DSNVASLBNVTQWKBXYZLFORWZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T6DSNVASLBNVTQWKBXYZLFORWZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:T6DSNVASLBNVTQWKBXYZLFORWZ","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":"a227a8621f222a236e7427a01c8037e8c837ba767b7606eb90fadf9f8d923722","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-05-14T19:20:52Z","title_canon_sha256":"3375710d6cf865b5e2d53e061d6b215356758b06216901d28389592bdc52ae97"},"schema_version":"1.0","source":{"id":"1605.04459","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04459","created_at":"2026-05-17T23:39:27Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04459v2","created_at":"2026-05-17T23:39:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04459","created_at":"2026-05-17T23:39:27Z"},{"alias_kind":"pith_short_12","alias_value":"T6DSNVASLBNV","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"T6DSNVASLBNVTQWK","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"T6DSNVAS","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:e90f25df341d1141d641aec45bcc5806802ab9aad75037d41a56cb8923e78f20","target":"graph","created_at":"2026-05-17T23:39:27Z","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":"Given a complex curve C of genus 2, there is a well-known relationship between the moduli space of rank 3 semistable bundles on C and a cubic hypersurface known as the Coble cubic. Some of the aspects of this is known to be related to the geometric invariant theory of the third exterior power of a 9-dimensional complex vector space. We extend this relationship to arbitrary fields and study some of the connections to invariant theory, which will be studied more in-depth in a followup paper.","authors_text":"Eric M. Rains, Steven V Sam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-05-14T19:20:52Z","title":"Vector bundles on genus 2 curves and trivectors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04459","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":"sha256:7cfab63dbfebe2776e05cbfdeeebcaa23188049226f9be093c689e8dd478f7d1","target":"record","created_at":"2026-05-17T23:39:27Z","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":"a227a8621f222a236e7427a01c8037e8c837ba767b7606eb90fadf9f8d923722","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-05-14T19:20:52Z","title_canon_sha256":"3375710d6cf865b5e2d53e061d6b215356758b06216901d28389592bdc52ae97"},"schema_version":"1.0","source":{"id":"1605.04459","kind":"arxiv","version":2}},"canonical_sha256":"9f8726d412585b59c2ca0df19595d1b64b6f1a180f9686a9220a0c29a209b42b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f8726d412585b59c2ca0df19595d1b64b6f1a180f9686a9220a0c29a209b42b","first_computed_at":"2026-05-17T23:39:27.997430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:27.997430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b/zy8JWFBNzLXNg9G6CrFvx+TRcm3Av39Aov0Bb0TqJC3/Z0LTJ+7jROMtDjsUZerYo2jFi7c2nzPkqbCWDXCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:27.998112Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.04459","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cfab63dbfebe2776e05cbfdeeebcaa23188049226f9be093c689e8dd478f7d1","sha256:e90f25df341d1141d641aec45bcc5806802ab9aad75037d41a56cb8923e78f20"],"state_sha256":"3fd8d9496c5148d56d1758e5f13969b2eb1f01ef50647b774ec183198cc5f5dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kl3haBix4erQTnrGLMZWtK4N/HJ81EwhpActGoqzl32CMQYgJtc7+Gv0JrszX9Hp3tO82Iz4YqZGL7X2ag1iDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T12:49:51.617178Z","bundle_sha256":"53d9940a79382ad0f849d5409f35f0531aa0af7b9ed04612f37e8e93efa311d1"}}