{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QWPTSSZJRHVHGIHJWRYXN3SN24","short_pith_number":"pith:QWPTSSZJ","canonical_record":{"source":{"id":"1004.4619","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-26T19:46:37Z","cross_cats_sorted":[],"title_canon_sha256":"a41e2cb84b69f2f01d316c062a7ca147851d5592cb1f592979d529b24460a7af","abstract_canon_sha256":"280233a0afb6afe94b6677ff503e9a248a1aa5e50c08f0f3e09e2fa1d6ada637"},"schema_version":"1.0"},"canonical_sha256":"859f394b2989ea7320e9b47176ee4dd71eaf809f4171eab96dfb5f2f5165cece","source":{"kind":"arxiv","id":"1004.4619","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.4619","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"arxiv_version","alias_value":"1004.4619v3","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.4619","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"pith_short_12","alias_value":"QWPTSSZJRHVH","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QWPTSSZJRHVHGIHJ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QWPTSSZJ","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QWPTSSZJRHVHGIHJWRYXN3SN24","target":"record","payload":{"canonical_record":{"source":{"id":"1004.4619","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-26T19:46:37Z","cross_cats_sorted":[],"title_canon_sha256":"a41e2cb84b69f2f01d316c062a7ca147851d5592cb1f592979d529b24460a7af","abstract_canon_sha256":"280233a0afb6afe94b6677ff503e9a248a1aa5e50c08f0f3e09e2fa1d6ada637"},"schema_version":"1.0"},"canonical_sha256":"859f394b2989ea7320e9b47176ee4dd71eaf809f4171eab96dfb5f2f5165cece","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:54.547816Z","signature_b64":"UgW7KuQXkx8cKe1sXtdlSr2RN8krnzc/O6EuhzF9Ni67PTlggTkJPhkI0wLxtI4Gt3UxwoyBoV+alHCg3lj0Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"859f394b2989ea7320e9b47176ee4dd71eaf809f4171eab96dfb5f2f5165cece","last_reissued_at":"2026-05-18T04:32:54.547395Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:54.547395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.4619","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:32:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7XVUMwKIabk8okLroI566CQAdw+BVYnj1phWwpj52B4Tcrm0ZntCMQFiJGc9wmwdCB+jFsIXfFLvnFba3DQmCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:57:44.539594Z"},"content_sha256":"4b6a13d63a197a7fc77d7e30e8412115cf3291384b84425f250d6f665acc515b","schema_version":"1.0","event_id":"sha256:4b6a13d63a197a7fc77d7e30e8412115cf3291384b84425f250d6f665acc515b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QWPTSSZJRHVHGIHJWRYXN3SN24","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum secret sharing with qudit graph states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Adrian Keet, Barry C. Sanders, Ben Fortescue, Damian Markham","submitted_at":"2010-04-26T19:46:37Z","abstract_excerpt":"We present a unified formalism for threshold quantum secret sharing using graph states of systems with prime dimension. We construct protocols for three varieties of secret sharing: with classical and quantum secrets shared between parties over both classical and quantum channels."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4619","kind":"arxiv","version":3},"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":"2026-05-18T04:32:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mbsVucmFmAC8RGQw14nTHECdfpAzpkn3fdDzT4AMhHkAHr8/WbulvKuayPRiqenivH7k6758cZOjtfak93AgBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:57:44.540076Z"},"content_sha256":"67eb5acdaf17bba2fd5e04162f3aeafc20b85f8312a10620972b9a3b2ef6dff4","schema_version":"1.0","event_id":"sha256:67eb5acdaf17bba2fd5e04162f3aeafc20b85f8312a10620972b9a3b2ef6dff4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QWPTSSZJRHVHGIHJWRYXN3SN24/bundle.json","state_url":"https://pith.science/pith/QWPTSSZJRHVHGIHJWRYXN3SN24/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QWPTSSZJRHVHGIHJWRYXN3SN24/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":"2026-05-30T10:57:44Z","links":{"resolver":"https://pith.science/pith/QWPTSSZJRHVHGIHJWRYXN3SN24","bundle":"https://pith.science/pith/QWPTSSZJRHVHGIHJWRYXN3SN24/bundle.json","state":"https://pith.science/pith/QWPTSSZJRHVHGIHJWRYXN3SN24/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QWPTSSZJRHVHGIHJWRYXN3SN24/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QWPTSSZJRHVHGIHJWRYXN3SN24","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":"280233a0afb6afe94b6677ff503e9a248a1aa5e50c08f0f3e09e2fa1d6ada637","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-26T19:46:37Z","title_canon_sha256":"a41e2cb84b69f2f01d316c062a7ca147851d5592cb1f592979d529b24460a7af"},"schema_version":"1.0","source":{"id":"1004.4619","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.4619","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"arxiv_version","alias_value":"1004.4619v3","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.4619","created_at":"2026-05-18T04:32:54Z"},{"alias_kind":"pith_short_12","alias_value":"QWPTSSZJRHVH","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QWPTSSZJRHVHGIHJ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QWPTSSZJ","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:67eb5acdaf17bba2fd5e04162f3aeafc20b85f8312a10620972b9a3b2ef6dff4","target":"graph","created_at":"2026-05-18T04:32:54Z","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 present a unified formalism for threshold quantum secret sharing using graph states of systems with prime dimension. We construct protocols for three varieties of secret sharing: with classical and quantum secrets shared between parties over both classical and quantum channels.","authors_text":"Adrian Keet, Barry C. Sanders, Ben Fortescue, Damian Markham","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-26T19:46:37Z","title":"Quantum secret sharing with qudit graph states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4619","kind":"arxiv","version":3},"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":"sha256:4b6a13d63a197a7fc77d7e30e8412115cf3291384b84425f250d6f665acc515b","target":"record","created_at":"2026-05-18T04:32:54Z","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":"280233a0afb6afe94b6677ff503e9a248a1aa5e50c08f0f3e09e2fa1d6ada637","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-26T19:46:37Z","title_canon_sha256":"a41e2cb84b69f2f01d316c062a7ca147851d5592cb1f592979d529b24460a7af"},"schema_version":"1.0","source":{"id":"1004.4619","kind":"arxiv","version":3}},"canonical_sha256":"859f394b2989ea7320e9b47176ee4dd71eaf809f4171eab96dfb5f2f5165cece","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"859f394b2989ea7320e9b47176ee4dd71eaf809f4171eab96dfb5f2f5165cece","first_computed_at":"2026-05-18T04:32:54.547395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:54.547395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UgW7KuQXkx8cKe1sXtdlSr2RN8krnzc/O6EuhzF9Ni67PTlggTkJPhkI0wLxtI4Gt3UxwoyBoV+alHCg3lj0Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:54.547816Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.4619","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b6a13d63a197a7fc77d7e30e8412115cf3291384b84425f250d6f665acc515b","sha256:67eb5acdaf17bba2fd5e04162f3aeafc20b85f8312a10620972b9a3b2ef6dff4"],"state_sha256":"df83d6223d2a2dc7a5b258e42d43a23d215e7b5aa212b6942e10983c0040a5d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3tjLWDkjQTvxmFZNpUdauNCrSp9A7gQH/Jx3g84DzdiinaiMsNci+PAKjosbxZWUrKy0wUvYP/f5jaIvrPGKCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T10:57:44.542270Z","bundle_sha256":"21fe530beb729754deb63471ec9d7f91bf6b1b5d685a96e3b9a53bbdf87b8e02"}}