{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:F52775XCOGWLJBKN7J4USIAEUW","short_pith_number":"pith:F52775XC","canonical_record":{"source":{"id":"1004.1752","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-04-10T23:19:01Z","cross_cats_sorted":["math.AG","math.IT","math.NT"],"title_canon_sha256":"4e2207572e7b170229f54862991a067b4a02a09a68dd0c3a45fe2cba833af1a8","abstract_canon_sha256":"3936b0a9433789211f24f2c35cba9a1a9d911f476658f040130ad3b454fb8e77"},"schema_version":"1.0"},"canonical_sha256":"2f75fff6e271acb4854dfa79492004a585dc41c0fba4b8ca5b42293fdba50c90","source":{"kind":"arxiv","id":"1004.1752","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1752","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1752v2","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1752","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"pith_short_12","alias_value":"F52775XCOGWL","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"F52775XCOGWLJBKN","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"F52775XC","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:F52775XCOGWLJBKN7J4USIAEUW","target":"record","payload":{"canonical_record":{"source":{"id":"1004.1752","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-04-10T23:19:01Z","cross_cats_sorted":["math.AG","math.IT","math.NT"],"title_canon_sha256":"4e2207572e7b170229f54862991a067b4a02a09a68dd0c3a45fe2cba833af1a8","abstract_canon_sha256":"3936b0a9433789211f24f2c35cba9a1a9d911f476658f040130ad3b454fb8e77"},"schema_version":"1.0"},"canonical_sha256":"2f75fff6e271acb4854dfa79492004a585dc41c0fba4b8ca5b42293fdba50c90","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:29.981224Z","signature_b64":"1mHBU0x6kJYVDXLDKFMk4jln/1HhFFGy0nyGJfIGECW+YtqSl8WPBS9EdvQXO9TyuSZSy4LanjWJIW7GkoznBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f75fff6e271acb4854dfa79492004a585dc41c0fba4b8ca5b42293fdba50c90","last_reissued_at":"2026-05-18T04:28:29.980578Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:29.980578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.1752","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":"2026-05-18T04:28:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+b4S+RtFKly4z+xWK3sFeU5iMqp9XbBZMXwNY6Ant4malJ0ApvU3yDKz/qlBzB85lw7HWyZc2DBmMBnvOMfvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T20:31:33.074692Z"},"content_sha256":"a30ffc4eaae4df8fdb58b6ebbefb486295331637761b76acfe64b458aead8be8","schema_version":"1.0","event_id":"sha256:a30ffc4eaae4df8fdb58b6ebbefb486295331637761b76acfe64b458aead8be8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:F52775XCOGWLJBKN7J4USIAEUW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improved Two-Point Codes on Hermitian Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.IT","math.NT"],"primary_cat":"cs.IT","authors_text":"Iwan Duursma, Radoslav Kirov","submitted_at":"2010-04-10T23:19:01Z","abstract_excerpt":"One-point codes on the Hermitian curve produce long codes with excellent parameters. Feng and Rao introduced a modified construction that improves the parameters while still using one-point divisors. A separate improvement of the parameters was introduced by Matthews considering the classical construction but with two-point divisors. Those two approaches are combined to describe an elementary construction of two-point improved codes. Upon analysis of their minimum distance and redundancy, it is observed that they improve on the previous constructions for a large range of designed distances."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1752","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":"2026-05-18T04:28:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8UVifqlpbEEI1YOtoGHlwXH6zGkq2KNvNTS8gwX54lKzF8LzaE1Nxj/DZQophM43d1Tx6Ac5gsn59x9FSXD7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T20:31:33.075070Z"},"content_sha256":"ece352f9a00ade961306f9c08302a990eb9f998b9126910b5c7dc4c959f0c236","schema_version":"1.0","event_id":"sha256:ece352f9a00ade961306f9c08302a990eb9f998b9126910b5c7dc4c959f0c236"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F52775XCOGWLJBKN7J4USIAEUW/bundle.json","state_url":"https://pith.science/pith/F52775XCOGWLJBKN7J4USIAEUW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F52775XCOGWLJBKN7J4USIAEUW/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":"2026-05-29T20:31:33Z","links":{"resolver":"https://pith.science/pith/F52775XCOGWLJBKN7J4USIAEUW","bundle":"https://pith.science/pith/F52775XCOGWLJBKN7J4USIAEUW/bundle.json","state":"https://pith.science/pith/F52775XCOGWLJBKN7J4USIAEUW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F52775XCOGWLJBKN7J4USIAEUW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:F52775XCOGWLJBKN7J4USIAEUW","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":"3936b0a9433789211f24f2c35cba9a1a9d911f476658f040130ad3b454fb8e77","cross_cats_sorted":["math.AG","math.IT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-04-10T23:19:01Z","title_canon_sha256":"4e2207572e7b170229f54862991a067b4a02a09a68dd0c3a45fe2cba833af1a8"},"schema_version":"1.0","source":{"id":"1004.1752","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1752","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1752v2","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1752","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"pith_short_12","alias_value":"F52775XCOGWL","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"F52775XCOGWLJBKN","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"F52775XC","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:ece352f9a00ade961306f9c08302a990eb9f998b9126910b5c7dc4c959f0c236","target":"graph","created_at":"2026-05-18T04:28:29Z","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":"One-point codes on the Hermitian curve produce long codes with excellent parameters. Feng and Rao introduced a modified construction that improves the parameters while still using one-point divisors. A separate improvement of the parameters was introduced by Matthews considering the classical construction but with two-point divisors. Those two approaches are combined to describe an elementary construction of two-point improved codes. Upon analysis of their minimum distance and redundancy, it is observed that they improve on the previous constructions for a large range of designed distances.","authors_text":"Iwan Duursma, Radoslav Kirov","cross_cats":["math.AG","math.IT","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-04-10T23:19:01Z","title":"Improved Two-Point Codes on Hermitian Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1752","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:a30ffc4eaae4df8fdb58b6ebbefb486295331637761b76acfe64b458aead8be8","target":"record","created_at":"2026-05-18T04:28:29Z","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":"3936b0a9433789211f24f2c35cba9a1a9d911f476658f040130ad3b454fb8e77","cross_cats_sorted":["math.AG","math.IT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-04-10T23:19:01Z","title_canon_sha256":"4e2207572e7b170229f54862991a067b4a02a09a68dd0c3a45fe2cba833af1a8"},"schema_version":"1.0","source":{"id":"1004.1752","kind":"arxiv","version":2}},"canonical_sha256":"2f75fff6e271acb4854dfa79492004a585dc41c0fba4b8ca5b42293fdba50c90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f75fff6e271acb4854dfa79492004a585dc41c0fba4b8ca5b42293fdba50c90","first_computed_at":"2026-05-18T04:28:29.980578Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:29.980578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1mHBU0x6kJYVDXLDKFMk4jln/1HhFFGy0nyGJfIGECW+YtqSl8WPBS9EdvQXO9TyuSZSy4LanjWJIW7GkoznBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:29.981224Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.1752","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a30ffc4eaae4df8fdb58b6ebbefb486295331637761b76acfe64b458aead8be8","sha256:ece352f9a00ade961306f9c08302a990eb9f998b9126910b5c7dc4c959f0c236"],"state_sha256":"ab0cf0d8bf2a474b0ccb80f941bd5e68c459b44d57062e7732e857b2614234c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EVrmSqjLOh/cxiEKYtNhYpoDU0LwSH8pT1sycDXe33ovoZE/LOcwlaZuhvmgK6Lrodnm72XSlGkbuDgo60pzDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T20:31:33.077808Z","bundle_sha256":"3a119b13b24fd12d7e5181e4462bf6ea1f7a459b1d704859d203bc7c376efb69"}}