{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UEGNFDEX5C2ITBKOH5UM5A5J2I","short_pith_number":"pith:UEGNFDEX","canonical_record":{"source":{"id":"1311.2346","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-11T04:00:53Z","cross_cats_sorted":["math.IT","math.RA"],"title_canon_sha256":"5eb9e08abcbf02fe27077b2324f68f6227216210f6692b530caaff0d21a32b61","abstract_canon_sha256":"8522f6cf16a369a58471463f5221e0e6f09a527ec373a18005ba058722a95759"},"schema_version":"1.0"},"canonical_sha256":"a10cd28c97e8b489854e3f68ce83a9d23e2ef5456084dedddb5fcbdf14454e1e","source":{"kind":"arxiv","id":"1311.2346","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2346","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2346v1","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2346","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"pith_short_12","alias_value":"UEGNFDEX5C2I","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UEGNFDEX5C2ITBKO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UEGNFDEX","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UEGNFDEX5C2ITBKOH5UM5A5J2I","target":"record","payload":{"canonical_record":{"source":{"id":"1311.2346","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-11T04:00:53Z","cross_cats_sorted":["math.IT","math.RA"],"title_canon_sha256":"5eb9e08abcbf02fe27077b2324f68f6227216210f6692b530caaff0d21a32b61","abstract_canon_sha256":"8522f6cf16a369a58471463f5221e0e6f09a527ec373a18005ba058722a95759"},"schema_version":"1.0"},"canonical_sha256":"a10cd28c97e8b489854e3f68ce83a9d23e2ef5456084dedddb5fcbdf14454e1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:32.888965Z","signature_b64":"Qsa/aTqHpuZVSxTtWUAsji6zoRizt6lSWlisnCwMLU5JuoTa9CPJlZ5tx/jSbIBU2lg8UhYcsrkiL/kE2R2lBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a10cd28c97e8b489854e3f68ce83a9d23e2ef5456084dedddb5fcbdf14454e1e","last_reissued_at":"2026-05-18T03:07:32.888405Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:32.888405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.2346","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":"2026-05-18T03:07:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GRgusNkmxpkX+dt3aofyu4yZYDPAWDi2k0ihCtWypttyqpezooqXtGiM3dzCD4/WBw0JT4ZMEbkJCj2WSPmmDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T20:26:05.478934Z"},"content_sha256":"e79d6fed92e02982095d3252bee73761fb136b507583a4fbbf92e4b7eb97efaf","schema_version":"1.0","event_id":"sha256:e79d6fed92e02982095d3252bee73761fb136b507583a4fbbf92e4b7eb97efaf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UEGNFDEX5C2ITBKOH5UM5A5J2I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some New Results on Equivalency of Collusion-Secure Properties for Reed-Solomon Codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.RA"],"primary_cat":"cs.IT","authors_text":"Myong-Son Sin, Ryul Kim","submitted_at":"2013-11-11T04:00:53Z","abstract_excerpt":"A. Silverberg (IEEE Trans. Inform. Theory 49, 2003) proposed a question on the equivalence of identifiable parent property and traceability property for Reed-Solomon code family. Earlier studies on Silverberg's problem motivate us to think of the stronger version of the question on equivalence of separation and traceability properties. Both, however, still remain open. In this article, we integrate all the previous works on this problem with an algebraic way, and present some new results. It is notable that the concept of subspace subcode of Reed-Solomon code, which was introduced in error-cor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2346","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":"2026-05-18T03:07:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q7XFawRDlEldJemz/OmTZDVC8471kO8aBDr4ntmBCH0EPLkf+61XeviD41gvs3kRtB1TBBklzkl7kY/77PL0CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T20:26:05.479635Z"},"content_sha256":"ed239f0a85fe352577972bdf9ef0a5d7ce0c505238abbdf7b789afba202e2d6a","schema_version":"1.0","event_id":"sha256:ed239f0a85fe352577972bdf9ef0a5d7ce0c505238abbdf7b789afba202e2d6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UEGNFDEX5C2ITBKOH5UM5A5J2I/bundle.json","state_url":"https://pith.science/pith/UEGNFDEX5C2ITBKOH5UM5A5J2I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UEGNFDEX5C2ITBKOH5UM5A5J2I/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":"2026-07-01T20:26:05Z","links":{"resolver":"https://pith.science/pith/UEGNFDEX5C2ITBKOH5UM5A5J2I","bundle":"https://pith.science/pith/UEGNFDEX5C2ITBKOH5UM5A5J2I/bundle.json","state":"https://pith.science/pith/UEGNFDEX5C2ITBKOH5UM5A5J2I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UEGNFDEX5C2ITBKOH5UM5A5J2I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UEGNFDEX5C2ITBKOH5UM5A5J2I","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":"8522f6cf16a369a58471463f5221e0e6f09a527ec373a18005ba058722a95759","cross_cats_sorted":["math.IT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-11T04:00:53Z","title_canon_sha256":"5eb9e08abcbf02fe27077b2324f68f6227216210f6692b530caaff0d21a32b61"},"schema_version":"1.0","source":{"id":"1311.2346","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2346","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2346v1","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2346","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"pith_short_12","alias_value":"UEGNFDEX5C2I","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UEGNFDEX5C2ITBKO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UEGNFDEX","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:ed239f0a85fe352577972bdf9ef0a5d7ce0c505238abbdf7b789afba202e2d6a","target":"graph","created_at":"2026-05-18T03:07:32Z","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":"A. Silverberg (IEEE Trans. Inform. Theory 49, 2003) proposed a question on the equivalence of identifiable parent property and traceability property for Reed-Solomon code family. Earlier studies on Silverberg's problem motivate us to think of the stronger version of the question on equivalence of separation and traceability properties. Both, however, still remain open. In this article, we integrate all the previous works on this problem with an algebraic way, and present some new results. It is notable that the concept of subspace subcode of Reed-Solomon code, which was introduced in error-cor","authors_text":"Myong-Son Sin, Ryul Kim","cross_cats":["math.IT","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-11T04:00:53Z","title":"Some New Results on Equivalency of Collusion-Secure Properties for Reed-Solomon Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2346","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:e79d6fed92e02982095d3252bee73761fb136b507583a4fbbf92e4b7eb97efaf","target":"record","created_at":"2026-05-18T03:07:32Z","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":"8522f6cf16a369a58471463f5221e0e6f09a527ec373a18005ba058722a95759","cross_cats_sorted":["math.IT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-11T04:00:53Z","title_canon_sha256":"5eb9e08abcbf02fe27077b2324f68f6227216210f6692b530caaff0d21a32b61"},"schema_version":"1.0","source":{"id":"1311.2346","kind":"arxiv","version":1}},"canonical_sha256":"a10cd28c97e8b489854e3f68ce83a9d23e2ef5456084dedddb5fcbdf14454e1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a10cd28c97e8b489854e3f68ce83a9d23e2ef5456084dedddb5fcbdf14454e1e","first_computed_at":"2026-05-18T03:07:32.888405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:32.888405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qsa/aTqHpuZVSxTtWUAsji6zoRizt6lSWlisnCwMLU5JuoTa9CPJlZ5tx/jSbIBU2lg8UhYcsrkiL/kE2R2lBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:32.888965Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.2346","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e79d6fed92e02982095d3252bee73761fb136b507583a4fbbf92e4b7eb97efaf","sha256:ed239f0a85fe352577972bdf9ef0a5d7ce0c505238abbdf7b789afba202e2d6a"],"state_sha256":"0968af8d60fe6309cb42df5b9398416c9de06919db7d6f6cf7e7976fe53c7833"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mRJ4GuUHc1rdukXY9+/QsuWRFzlL1pw/hMeTLazFasaCdE6v5hxoOcYx3fe1QSzLYCtlutNRaT84efFlan6gCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T20:26:05.483301Z","bundle_sha256":"b91f159678990ffec6d74ddaa89bcf82514d0e3af325a8392e3a07cb58e63182"}}