{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:SFYEYXOFTDTR3NXSRHSP5S3USK","short_pith_number":"pith:SFYEYXOF","canonical_record":{"source":{"id":"1501.01746","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-08T06:58:05Z","cross_cats_sorted":[],"title_canon_sha256":"90591a5398c1ab6560496eed89d2abf320fcb95c4ed1cdb6ad862b851e76b96c","abstract_canon_sha256":"64362623956b990f03c881c0ddb1e277dd9b5434e078e446e604e57cd4e954e2"},"schema_version":"1.0"},"canonical_sha256":"91704c5dc598e71db6f289e4fecb7492bcc92189bd233411bc2f582ad7d0358f","source":{"kind":"arxiv","id":"1501.01746","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01746","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01746v2","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01746","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"SFYEYXOFTDTR","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"SFYEYXOFTDTR3NXS","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"SFYEYXOF","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:SFYEYXOFTDTR3NXSRHSP5S3USK","target":"record","payload":{"canonical_record":{"source":{"id":"1501.01746","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-08T06:58:05Z","cross_cats_sorted":[],"title_canon_sha256":"90591a5398c1ab6560496eed89d2abf320fcb95c4ed1cdb6ad862b851e76b96c","abstract_canon_sha256":"64362623956b990f03c881c0ddb1e277dd9b5434e078e446e604e57cd4e954e2"},"schema_version":"1.0"},"canonical_sha256":"91704c5dc598e71db6f289e4fecb7492bcc92189bd233411bc2f582ad7d0358f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:45.135229Z","signature_b64":"Fz3KQYNQHc3NU//isMzK5GCyam1grEOFSDxYnQicb9xx/TwRhpi2uZmbzAYAUXjuf8oQU+B1/l9kFatLO0oKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91704c5dc598e71db6f289e4fecb7492bcc92189bd233411bc2f582ad7d0358f","last_reissued_at":"2026-05-18T02:29:45.134832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:45.134832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.01746","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":"2026-05-18T02:29:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s+I0VYL2NBaHOm3aig7QfPAe4cmV55H6R5F4zajWcy6OAY8TgevO6Nv96U2xiz1/GMAyDKnOdbqE5q5cihiyBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:46:04.267805Z"},"content_sha256":"0eba5e31285e58120ede3b132bef4bcaf61ec30634fe6f8f3cc146033a506b27","schema_version":"1.0","event_id":"sha256:0eba5e31285e58120ede3b132bef4bcaf61ec30634fe6f8f3cc146033a506b27"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:SFYEYXOFTDTR3NXSRHSP5S3USK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"State-independent contextuality sets for a qutrit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hong-Yi Su, Jing-Ling Chen, Zhen-Peng Xu","submitted_at":"2015-01-08T06:58:05Z","abstract_excerpt":"We present a generalized set of complex rays for a qutrit in terms of parameter $q=e^{i2\\pi/k}$, a $k$-th root of unity. Remarkably, when $k=2,3$, the set reduces to two well known state-independent contextuality (SIC) sets: the Yu-Oh set and the Bengtsson-Blanchfield-Cabello set. Based on the Ramanathan-Horodecki criterion and the violation of a noncontextuality inequality, we have proven that the sets with $k=3m$ and $k=4$ are SIC, while the set with $k=5$ is not. Our generalized set of rays will theoretically enrich the study of SIC proof, and experimentally stimulate the novel application "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01746","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":"2026-05-18T02:29:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wrqMe5tpvAqmrLpbn+XuoJdOL0rI40bJDFp1zxZTQk+ADZB7s2/VRr3bluoE2l6Fp6/SxzTB5nLI3v6e/i8nAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:46:04.268146Z"},"content_sha256":"2e343aa9856d5146a24a9d148288229fa1860c2e2eb271f94b489839a77a2e90","schema_version":"1.0","event_id":"sha256:2e343aa9856d5146a24a9d148288229fa1860c2e2eb271f94b489839a77a2e90"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SFYEYXOFTDTR3NXSRHSP5S3USK/bundle.json","state_url":"https://pith.science/pith/SFYEYXOFTDTR3NXSRHSP5S3USK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SFYEYXOFTDTR3NXSRHSP5S3USK/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":"2026-05-28T11:46:04Z","links":{"resolver":"https://pith.science/pith/SFYEYXOFTDTR3NXSRHSP5S3USK","bundle":"https://pith.science/pith/SFYEYXOFTDTR3NXSRHSP5S3USK/bundle.json","state":"https://pith.science/pith/SFYEYXOFTDTR3NXSRHSP5S3USK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SFYEYXOFTDTR3NXSRHSP5S3USK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SFYEYXOFTDTR3NXSRHSP5S3USK","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":"64362623956b990f03c881c0ddb1e277dd9b5434e078e446e604e57cd4e954e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-08T06:58:05Z","title_canon_sha256":"90591a5398c1ab6560496eed89d2abf320fcb95c4ed1cdb6ad862b851e76b96c"},"schema_version":"1.0","source":{"id":"1501.01746","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01746","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01746v2","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01746","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"SFYEYXOFTDTR","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"SFYEYXOFTDTR3NXS","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"SFYEYXOF","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:2e343aa9856d5146a24a9d148288229fa1860c2e2eb271f94b489839a77a2e90","target":"graph","created_at":"2026-05-18T02:29:45Z","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 generalized set of complex rays for a qutrit in terms of parameter $q=e^{i2\\pi/k}$, a $k$-th root of unity. Remarkably, when $k=2,3$, the set reduces to two well known state-independent contextuality (SIC) sets: the Yu-Oh set and the Bengtsson-Blanchfield-Cabello set. Based on the Ramanathan-Horodecki criterion and the violation of a noncontextuality inequality, we have proven that the sets with $k=3m$ and $k=4$ are SIC, while the set with $k=5$ is not. Our generalized set of rays will theoretically enrich the study of SIC proof, and experimentally stimulate the novel application ","authors_text":"Hong-Yi Su, Jing-Ling Chen, Zhen-Peng Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-08T06:58:05Z","title":"State-independent contextuality sets for a qutrit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01746","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":"sha256:0eba5e31285e58120ede3b132bef4bcaf61ec30634fe6f8f3cc146033a506b27","target":"record","created_at":"2026-05-18T02:29:45Z","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":"64362623956b990f03c881c0ddb1e277dd9b5434e078e446e604e57cd4e954e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-08T06:58:05Z","title_canon_sha256":"90591a5398c1ab6560496eed89d2abf320fcb95c4ed1cdb6ad862b851e76b96c"},"schema_version":"1.0","source":{"id":"1501.01746","kind":"arxiv","version":2}},"canonical_sha256":"91704c5dc598e71db6f289e4fecb7492bcc92189bd233411bc2f582ad7d0358f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91704c5dc598e71db6f289e4fecb7492bcc92189bd233411bc2f582ad7d0358f","first_computed_at":"2026-05-18T02:29:45.134832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:45.134832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fz3KQYNQHc3NU//isMzK5GCyam1grEOFSDxYnQicb9xx/TwRhpi2uZmbzAYAUXjuf8oQU+B1/l9kFatLO0oKDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:45.135229Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01746","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0eba5e31285e58120ede3b132bef4bcaf61ec30634fe6f8f3cc146033a506b27","sha256:2e343aa9856d5146a24a9d148288229fa1860c2e2eb271f94b489839a77a2e90"],"state_sha256":"73fb7caf89693bd296c7248022e9f4d5afedc825a30eea0611a82dfb0bf98d34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QysQwD4CyhcX/D9R7KspYLhnRpRoqFUaYDBcvsxnqO4yULQGmLlMPi4V/o7wj2zVbrHILBwU8NSMZpjiPq5+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:46:04.270059Z","bundle_sha256":"679cbbf61859d15aec93cbdb6e3b5a74e020a9d67b3fad9f98e107b3a447befa"}}