{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QD75UOAV5WZRJ3GUQQGD2WXJ54","short_pith_number":"pith:QD75UOAV","canonical_record":{"source":{"id":"1801.05556","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-01-17T05:24:40Z","cross_cats_sorted":[],"title_canon_sha256":"3b912d61a928125219e585e7206bca5c45ee049cc4670328b2ba9c4194aa9e1c","abstract_canon_sha256":"49fc2571f3b2f4a8ee75b63731bb07dbfb3c86da1fe73fcd46e17f789d4dfc8b"},"schema_version":"1.0"},"canonical_sha256":"80ffda3815edb314ecd4840c3d5ae9ef28d6f10c10cb35b41034c03773cecf41","source":{"kind":"arxiv","id":"1801.05556","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05556","created_at":"2026-07-05T01:14:21Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05556v2","created_at":"2026-07-05T01:14:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05556","created_at":"2026-07-05T01:14:21Z"},{"alias_kind":"pith_short_12","alias_value":"QD75UOAV5WZR","created_at":"2026-07-05T01:14:21Z"},{"alias_kind":"pith_short_16","alias_value":"QD75UOAV5WZRJ3GU","created_at":"2026-07-05T01:14:21Z"},{"alias_kind":"pith_short_8","alias_value":"QD75UOAV","created_at":"2026-07-05T01:14:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QD75UOAV5WZRJ3GUQQGD2WXJ54","target":"record","payload":{"canonical_record":{"source":{"id":"1801.05556","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-01-17T05:24:40Z","cross_cats_sorted":[],"title_canon_sha256":"3b912d61a928125219e585e7206bca5c45ee049cc4670328b2ba9c4194aa9e1c","abstract_canon_sha256":"49fc2571f3b2f4a8ee75b63731bb07dbfb3c86da1fe73fcd46e17f789d4dfc8b"},"schema_version":"1.0"},"canonical_sha256":"80ffda3815edb314ecd4840c3d5ae9ef28d6f10c10cb35b41034c03773cecf41","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:14:21.120895Z","signature_b64":"By3iCwG6IGfwkW8GvJmL8T/QYlNhXbvuhh3Hr9OynNLxDJOWPrulg+E4CxllgKvvmJhL2BmIjL7vZjdjSOECCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80ffda3815edb314ecd4840c3d5ae9ef28d6f10c10cb35b41034c03773cecf41","last_reissued_at":"2026-07-05T01:14:21.120491Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:14:21.120491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.05556","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":"2026-07-05T01:14:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rswghYst+ge8+2h0++/5uvbux3uRFmaNYpClst3gtkNPSuUzYr+r4zjc5RL17Q68tIbZukEbQI6EsWH9BswbBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:38:53.438511Z"},"content_sha256":"f90f082eb38cca10668047a2152b11630c74ec71de296a50cb188e9037e2d608","schema_version":"1.0","event_id":"sha256:f90f082eb38cca10668047a2152b11630c74ec71de296a50cb188e9037e2d608"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QD75UOAV5WZRJ3GUQQGD2WXJ54","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear recurrence sequences and the duality defect conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Grayson Jorgenson","submitted_at":"2018-01-17T05:24:40Z","abstract_excerpt":"It is conjectured that the dual variety of every smooth nonlinear subvariety of dimension $> \\frac{2N}{3}$ in projective $N$-space is a hypersurface, an expectation known as the duality defect conjecture. This would follow from the truth of Hartshorne's complete intersection conjecture but nevertheless remains open for the case of subvarieties of codimension $> 2$. A combinatorial approach to proving the conjecture in the codimension $2$ case was developed by Holme, and following this approach Oaland devised an algorithm for proving the conjecture in the codimension $3$ case for particular $N$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05556","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1801.05556/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:14:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bvMByOqGWBJrqUq0eRKDFMHGmJXVz0IW9VFWmXav1h1YRv0GN+93oUMwZ5PgyLxsejf2VxEpBZm9ww+S7/fxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:38:53.439403Z"},"content_sha256":"642e102b9fc8ddcd635203ab18cd81d72ac16c2822b49d09c6308c4b0a3c5360","schema_version":"1.0","event_id":"sha256:642e102b9fc8ddcd635203ab18cd81d72ac16c2822b49d09c6308c4b0a3c5360"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QD75UOAV5WZRJ3GUQQGD2WXJ54/bundle.json","state_url":"https://pith.science/pith/QD75UOAV5WZRJ3GUQQGD2WXJ54/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QD75UOAV5WZRJ3GUQQGD2WXJ54/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":"2026-08-03T22:38:53Z","links":{"resolver":"https://pith.science/pith/QD75UOAV5WZRJ3GUQQGD2WXJ54","bundle":"https://pith.science/pith/QD75UOAV5WZRJ3GUQQGD2WXJ54/bundle.json","state":"https://pith.science/pith/QD75UOAV5WZRJ3GUQQGD2WXJ54/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QD75UOAV5WZRJ3GUQQGD2WXJ54/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QD75UOAV5WZRJ3GUQQGD2WXJ54","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":"49fc2571f3b2f4a8ee75b63731bb07dbfb3c86da1fe73fcd46e17f789d4dfc8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-01-17T05:24:40Z","title_canon_sha256":"3b912d61a928125219e585e7206bca5c45ee049cc4670328b2ba9c4194aa9e1c"},"schema_version":"1.0","source":{"id":"1801.05556","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05556","created_at":"2026-07-05T01:14:21Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05556v2","created_at":"2026-07-05T01:14:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05556","created_at":"2026-07-05T01:14:21Z"},{"alias_kind":"pith_short_12","alias_value":"QD75UOAV5WZR","created_at":"2026-07-05T01:14:21Z"},{"alias_kind":"pith_short_16","alias_value":"QD75UOAV5WZRJ3GU","created_at":"2026-07-05T01:14:21Z"},{"alias_kind":"pith_short_8","alias_value":"QD75UOAV","created_at":"2026-07-05T01:14:21Z"}],"graph_snapshots":[{"event_id":"sha256:642e102b9fc8ddcd635203ab18cd81d72ac16c2822b49d09c6308c4b0a3c5360","target":"graph","created_at":"2026-07-05T01:14:21Z","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/1801.05556/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is conjectured that the dual variety of every smooth nonlinear subvariety of dimension $> \\frac{2N}{3}$ in projective $N$-space is a hypersurface, an expectation known as the duality defect conjecture. This would follow from the truth of Hartshorne's complete intersection conjecture but nevertheless remains open for the case of subvarieties of codimension $> 2$. A combinatorial approach to proving the conjecture in the codimension $2$ case was developed by Holme, and following this approach Oaland devised an algorithm for proving the conjecture in the codimension $3$ case for particular $N$","authors_text":"Grayson Jorgenson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-01-17T05:24:40Z","title":"Linear recurrence sequences and the duality defect conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05556","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:f90f082eb38cca10668047a2152b11630c74ec71de296a50cb188e9037e2d608","target":"record","created_at":"2026-07-05T01:14:21Z","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":"49fc2571f3b2f4a8ee75b63731bb07dbfb3c86da1fe73fcd46e17f789d4dfc8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-01-17T05:24:40Z","title_canon_sha256":"3b912d61a928125219e585e7206bca5c45ee049cc4670328b2ba9c4194aa9e1c"},"schema_version":"1.0","source":{"id":"1801.05556","kind":"arxiv","version":2}},"canonical_sha256":"80ffda3815edb314ecd4840c3d5ae9ef28d6f10c10cb35b41034c03773cecf41","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80ffda3815edb314ecd4840c3d5ae9ef28d6f10c10cb35b41034c03773cecf41","first_computed_at":"2026-07-05T01:14:21.120491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:14:21.120491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"By3iCwG6IGfwkW8GvJmL8T/QYlNhXbvuhh3Hr9OynNLxDJOWPrulg+E4CxllgKvvmJhL2BmIjL7vZjdjSOECCw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:14:21.120895Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.05556","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f90f082eb38cca10668047a2152b11630c74ec71de296a50cb188e9037e2d608","sha256:642e102b9fc8ddcd635203ab18cd81d72ac16c2822b49d09c6308c4b0a3c5360"],"state_sha256":"df90479a0b952be76194c194f400705911ebf7ce92ee5581f79a2712144bda2d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ivgKbxo4Vtkcd9NJvXk9CAxI1xyTz/Lcb1itF9A8tnI3vThozIbKtRCItPCJbW3Z4/iW5q4en6tot426cI2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T22:38:53.446670Z","bundle_sha256":"967241213e158ea1d39e657e521a8605f2f76bc2c9f79b2cd266064073de3e10"}}