{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:X3D2SH6MM56TUZWQCCJARLMWPV","short_pith_number":"pith:X3D2SH6M","canonical_record":{"source":{"id":"1702.04803","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-15T22:36:22Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"822a8718abe6b8f87dc86469e9dfd8351ac36ff59981a2f58a6923edfa3c1dfb","abstract_canon_sha256":"04c4a42310b8cd728a6ef617519dc5303c86d7bf85bd3fd980148220d3922e90"},"schema_version":"1.0"},"canonical_sha256":"bec7a91fcc677d3a66d0109208ad967d76b218b7ad02dc99faa4335671fc1dc4","source":{"kind":"arxiv","id":"1702.04803","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04803","created_at":"2026-05-18T00:50:37Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04803v1","created_at":"2026-05-18T00:50:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04803","created_at":"2026-05-18T00:50:37Z"},{"alias_kind":"pith_short_12","alias_value":"X3D2SH6MM56T","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X3D2SH6MM56TUZWQ","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X3D2SH6M","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:X3D2SH6MM56TUZWQCCJARLMWPV","target":"record","payload":{"canonical_record":{"source":{"id":"1702.04803","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-15T22:36:22Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"822a8718abe6b8f87dc86469e9dfd8351ac36ff59981a2f58a6923edfa3c1dfb","abstract_canon_sha256":"04c4a42310b8cd728a6ef617519dc5303c86d7bf85bd3fd980148220d3922e90"},"schema_version":"1.0"},"canonical_sha256":"bec7a91fcc677d3a66d0109208ad967d76b218b7ad02dc99faa4335671fc1dc4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:37.093460Z","signature_b64":"kbs7zP3iXZi5R7EQTBgLf+sAXs/Qxsx3m7GOC/ShZgwS5Y3cLSqZyVYXRFcbsfnx0zaIFxjMQujz4aYnJUbxAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bec7a91fcc677d3a66d0109208ad967d76b218b7ad02dc99faa4335671fc1dc4","last_reissued_at":"2026-05-18T00:50:37.092943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:37.092943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.04803","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":"2026-05-18T00:50:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EUfSK3Lj7OHEg/mxEww9j0xYN/IKCnTDkKpByZP64tqXYvbI7EdC2Dvnn7KvqPWW0wI7uRPDA1pi2TdH1H7mDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:28:02.029523Z"},"content_sha256":"66734e45c424749dcb21d488d9ff1adeebeba555669d369390a44c651ab5479d","schema_version":"1.0","event_id":"sha256:66734e45c424749dcb21d488d9ff1adeebeba555669d369390a44c651ab5479d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:X3D2SH6MM56TUZWQCCJARLMWPV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Equivalence Between Secure Network and Index Coding","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Badri N. Vellambi, J\\\"org Kliewer, Lawrence Ong, Phee Lep Yeoh","submitted_at":"2017-02-15T22:36:22Z","abstract_excerpt":"We extend the equivalence between network coding and index coding by Effros, El Rouayheb, and Langberg to the secure communication setting in the presence of an eavesdropper. Specifically, we show that the most general versions of secure network-coding setup by Chan and Grant and the secure index-coding setup by Dau, Skachek, and Chee, which also include the randomised encoding setting, are equivalent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04803","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":"2026-05-18T00:50:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VVlYzpYg4NWrTCat+IjTEHcrtNPkgGwwJNxErRoor48esxn3g1p2HfMMQYymUzC4osU5fD9wRQ3yB2IhFEwjBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:28:02.030203Z"},"content_sha256":"d81c2688160a887679fac5ce7e30d8f7c6412832c40898319c5b2fec7bd8904a","schema_version":"1.0","event_id":"sha256:d81c2688160a887679fac5ce7e30d8f7c6412832c40898319c5b2fec7bd8904a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X3D2SH6MM56TUZWQCCJARLMWPV/bundle.json","state_url":"https://pith.science/pith/X3D2SH6MM56TUZWQCCJARLMWPV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X3D2SH6MM56TUZWQCCJARLMWPV/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":"2026-05-30T22:28:02Z","links":{"resolver":"https://pith.science/pith/X3D2SH6MM56TUZWQCCJARLMWPV","bundle":"https://pith.science/pith/X3D2SH6MM56TUZWQCCJARLMWPV/bundle.json","state":"https://pith.science/pith/X3D2SH6MM56TUZWQCCJARLMWPV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X3D2SH6MM56TUZWQCCJARLMWPV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:X3D2SH6MM56TUZWQCCJARLMWPV","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":"04c4a42310b8cd728a6ef617519dc5303c86d7bf85bd3fd980148220d3922e90","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-15T22:36:22Z","title_canon_sha256":"822a8718abe6b8f87dc86469e9dfd8351ac36ff59981a2f58a6923edfa3c1dfb"},"schema_version":"1.0","source":{"id":"1702.04803","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04803","created_at":"2026-05-18T00:50:37Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04803v1","created_at":"2026-05-18T00:50:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04803","created_at":"2026-05-18T00:50:37Z"},{"alias_kind":"pith_short_12","alias_value":"X3D2SH6MM56T","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X3D2SH6MM56TUZWQ","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X3D2SH6M","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:d81c2688160a887679fac5ce7e30d8f7c6412832c40898319c5b2fec7bd8904a","target":"graph","created_at":"2026-05-18T00:50:37Z","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":"We extend the equivalence between network coding and index coding by Effros, El Rouayheb, and Langberg to the secure communication setting in the presence of an eavesdropper. Specifically, we show that the most general versions of secure network-coding setup by Chan and Grant and the secure index-coding setup by Dau, Skachek, and Chee, which also include the randomised encoding setting, are equivalent.","authors_text":"Badri N. Vellambi, J\\\"org Kliewer, Lawrence Ong, Phee Lep Yeoh","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-15T22:36:22Z","title":"An Equivalence Between Secure Network and Index Coding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04803","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":"sha256:66734e45c424749dcb21d488d9ff1adeebeba555669d369390a44c651ab5479d","target":"record","created_at":"2026-05-18T00:50:37Z","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":"04c4a42310b8cd728a6ef617519dc5303c86d7bf85bd3fd980148220d3922e90","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-15T22:36:22Z","title_canon_sha256":"822a8718abe6b8f87dc86469e9dfd8351ac36ff59981a2f58a6923edfa3c1dfb"},"schema_version":"1.0","source":{"id":"1702.04803","kind":"arxiv","version":1}},"canonical_sha256":"bec7a91fcc677d3a66d0109208ad967d76b218b7ad02dc99faa4335671fc1dc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bec7a91fcc677d3a66d0109208ad967d76b218b7ad02dc99faa4335671fc1dc4","first_computed_at":"2026-05-18T00:50:37.092943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:37.092943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kbs7zP3iXZi5R7EQTBgLf+sAXs/Qxsx3m7GOC/ShZgwS5Y3cLSqZyVYXRFcbsfnx0zaIFxjMQujz4aYnJUbxAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:37.093460Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04803","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66734e45c424749dcb21d488d9ff1adeebeba555669d369390a44c651ab5479d","sha256:d81c2688160a887679fac5ce7e30d8f7c6412832c40898319c5b2fec7bd8904a"],"state_sha256":"4d02f25b1f83ddf7e9144b596372c58e73243395d2c661496ad7c425d846dc25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h1GULeVWBrnBzZL0LspaxeukpR6zkcbxDxrv5pu4PFVFJaHyH3hWzWCKrvOTLUhD9nrVjlkNg1TuhYVbOj3ACQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T22:28:02.033891Z","bundle_sha256":"e1aeacec7266ab65108cc4b987242fdea8c29f2fc8276cf94c8742244f9ef503"}}