{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EZ44WM3EGWUBC3ZPOLAIZICJHM","short_pith_number":"pith:EZ44WM3E","canonical_record":{"source":{"id":"1310.5061","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-18T15:41:22Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"037a9310cb5ee2e9bd8c6ff0c939a7da2ad7b3c593c37828bc8794b375c8bfaf","abstract_canon_sha256":"71a1653e2cd49bafada50a0756603ad8cc7fb0c1b6eff0d50b60fd6925ed17b9"},"schema_version":"1.0"},"canonical_sha256":"2679cb336435a8116f2f72c08ca0493b24abd852977a819d0e0c88ed6a73c5e0","source":{"kind":"arxiv","id":"1310.5061","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5061","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5061v1","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5061","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"EZ44WM3EGWUB","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EZ44WM3EGWUBC3ZP","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EZ44WM3E","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EZ44WM3EGWUBC3ZPOLAIZICJHM","target":"record","payload":{"canonical_record":{"source":{"id":"1310.5061","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-18T15:41:22Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"037a9310cb5ee2e9bd8c6ff0c939a7da2ad7b3c593c37828bc8794b375c8bfaf","abstract_canon_sha256":"71a1653e2cd49bafada50a0756603ad8cc7fb0c1b6eff0d50b60fd6925ed17b9"},"schema_version":"1.0"},"canonical_sha256":"2679cb336435a8116f2f72c08ca0493b24abd852977a819d0e0c88ed6a73c5e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:15.847615Z","signature_b64":"A5NKuuBKPXQLVf6xg6RqBWFxb+tWNZlsE28HW9qjD4JGxAZcKNbpd14OMH3KnrFu6tgU2YD6Mo2p2h5QRPd6DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2679cb336435a8116f2f72c08ca0493b24abd852977a819d0e0c88ed6a73c5e0","last_reissued_at":"2026-05-18T02:30:15.847070Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:15.847070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.5061","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aQfmtwT1kOBySt7uo+SS+Tz3ZjNm/35O5ch8VhT6DKZijZC6UE6wsjCFh/OgGz2J8CWObplZ3F5/BuOC4wqJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T12:53:38.064434Z"},"content_sha256":"9d0f931e565fb3248922a2593de0a86f111411c17852f66f605b9c5ebf7a71bf","schema_version":"1.0","event_id":"sha256:9d0f931e565fb3248922a2593de0a86f111411c17852f66f605b9c5ebf7a71bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EZ44WM3EGWUBC3ZPOLAIZICJHM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On dual toric complete intersection codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.AG","authors_text":"Ivan Soprunov, Pinar Celebi Demirarslan","submitted_at":"2013-10-18T15:41:22Z","abstract_excerpt":"In this paper we study duality for evaluation codes on intersections of d hypersurfaces with given d-dimensional Newton polytopes, so called toric complete intersection codes. In particular, we give a condition for such a code to be quasi-self-dual. In the case of d=2 it reduces to a combinatorial condition on the Newton polygons. This allows us to give an explicit construction of dual and quasi-self-dual toric complete intersection codes. We provide a list of examples over the field of 16 elements."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5061","kind":"arxiv","version":1},"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":"2026-05-18T02:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7yTwbTYguIuAk8P3yaw2rMT2EwMe1Mifx7F47vUIxx96JcT6uP+Bav9wI9AXjT3yjwn5IJvnd6q2bbsPIbpiBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T12:53:38.064783Z"},"content_sha256":"8907c06ca49cc109877b3d82b8ec868bd0ca4de40afbab00fbfc7665229a5397","schema_version":"1.0","event_id":"sha256:8907c06ca49cc109877b3d82b8ec868bd0ca4de40afbab00fbfc7665229a5397"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EZ44WM3EGWUBC3ZPOLAIZICJHM/bundle.json","state_url":"https://pith.science/pith/EZ44WM3EGWUBC3ZPOLAIZICJHM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EZ44WM3EGWUBC3ZPOLAIZICJHM/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":"2026-06-11T12:53:38Z","links":{"resolver":"https://pith.science/pith/EZ44WM3EGWUBC3ZPOLAIZICJHM","bundle":"https://pith.science/pith/EZ44WM3EGWUBC3ZPOLAIZICJHM/bundle.json","state":"https://pith.science/pith/EZ44WM3EGWUBC3ZPOLAIZICJHM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EZ44WM3EGWUBC3ZPOLAIZICJHM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EZ44WM3EGWUBC3ZPOLAIZICJHM","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":"71a1653e2cd49bafada50a0756603ad8cc7fb0c1b6eff0d50b60fd6925ed17b9","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-18T15:41:22Z","title_canon_sha256":"037a9310cb5ee2e9bd8c6ff0c939a7da2ad7b3c593c37828bc8794b375c8bfaf"},"schema_version":"1.0","source":{"id":"1310.5061","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5061","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5061v1","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5061","created_at":"2026-05-18T02:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"EZ44WM3EGWUB","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EZ44WM3EGWUBC3ZP","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EZ44WM3E","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:8907c06ca49cc109877b3d82b8ec868bd0ca4de40afbab00fbfc7665229a5397","target":"graph","created_at":"2026-05-18T02:30:15Z","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 study duality for evaluation codes on intersections of d hypersurfaces with given d-dimensional Newton polytopes, so called toric complete intersection codes. In particular, we give a condition for such a code to be quasi-self-dual. In the case of d=2 it reduces to a combinatorial condition on the Newton polygons. This allows us to give an explicit construction of dual and quasi-self-dual toric complete intersection codes. We provide a list of examples over the field of 16 elements.","authors_text":"Ivan Soprunov, Pinar Celebi Demirarslan","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-18T15:41:22Z","title":"On dual toric complete intersection codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5061","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":"sha256:9d0f931e565fb3248922a2593de0a86f111411c17852f66f605b9c5ebf7a71bf","target":"record","created_at":"2026-05-18T02:30:15Z","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":"71a1653e2cd49bafada50a0756603ad8cc7fb0c1b6eff0d50b60fd6925ed17b9","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-18T15:41:22Z","title_canon_sha256":"037a9310cb5ee2e9bd8c6ff0c939a7da2ad7b3c593c37828bc8794b375c8bfaf"},"schema_version":"1.0","source":{"id":"1310.5061","kind":"arxiv","version":1}},"canonical_sha256":"2679cb336435a8116f2f72c08ca0493b24abd852977a819d0e0c88ed6a73c5e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2679cb336435a8116f2f72c08ca0493b24abd852977a819d0e0c88ed6a73c5e0","first_computed_at":"2026-05-18T02:30:15.847070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:15.847070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A5NKuuBKPXQLVf6xg6RqBWFxb+tWNZlsE28HW9qjD4JGxAZcKNbpd14OMH3KnrFu6tgU2YD6Mo2p2h5QRPd6DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:15.847615Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.5061","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d0f931e565fb3248922a2593de0a86f111411c17852f66f605b9c5ebf7a71bf","sha256:8907c06ca49cc109877b3d82b8ec868bd0ca4de40afbab00fbfc7665229a5397"],"state_sha256":"3b0b26f534ccca4d67493b65e4981b906e59fdc121b3aed2327dc4c8a8ad6261"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qBU21VF7zpqhcYnOgyTm6Sg5ytJR3o1eIhFdJBdxy/WwzqkDlrKjbpCcCJ5isqSwqnc4KlxdaGHaU8n5t36gAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T12:53:38.066839Z","bundle_sha256":"936f9c1d86c16c30fcd6aba74eb6ce1a6e8b6a0dd27f19c927a70e5e5359434c"}}