{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:XZ2KVAHULOXSKMLFZNC4E7LAT6","short_pith_number":"pith:XZ2KVAHU","canonical_record":{"source":{"id":"1701.05200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-18T19:00:40Z","cross_cats_sorted":[],"title_canon_sha256":"6fa9803a3ab85a7ddff3467b99698b5a5a2cf4356c14972743cf1b08e930b392","abstract_canon_sha256":"0f3030dacb010d3f5b69f58e18e5c8b116fc5174077720202683901089f4a291"},"schema_version":"1.0"},"canonical_sha256":"be74aa80f45baf253165cb45c27d609f96cfff94fbb8ac79851b8f98cef244e1","source":{"kind":"arxiv","id":"1701.05200","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05200","created_at":"2026-05-18T00:39:46Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05200v1","created_at":"2026-05-18T00:39:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05200","created_at":"2026-05-18T00:39:46Z"},{"alias_kind":"pith_short_12","alias_value":"XZ2KVAHULOXS","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XZ2KVAHULOXSKMLF","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XZ2KVAHU","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:XZ2KVAHULOXSKMLFZNC4E7LAT6","target":"record","payload":{"canonical_record":{"source":{"id":"1701.05200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-18T19:00:40Z","cross_cats_sorted":[],"title_canon_sha256":"6fa9803a3ab85a7ddff3467b99698b5a5a2cf4356c14972743cf1b08e930b392","abstract_canon_sha256":"0f3030dacb010d3f5b69f58e18e5c8b116fc5174077720202683901089f4a291"},"schema_version":"1.0"},"canonical_sha256":"be74aa80f45baf253165cb45c27d609f96cfff94fbb8ac79851b8f98cef244e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:46.968539Z","signature_b64":"sd4G7T/kMQO2dPvDI38Nm8EX59RKby2uM37jkN8sYlg8BANhEshp2MfOQf+lIz1DWca5JChl1ifKFc02BVcnCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be74aa80f45baf253165cb45c27d609f96cfff94fbb8ac79851b8f98cef244e1","last_reissued_at":"2026-05-18T00:39:46.967816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:46.967816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.05200","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":"2026-05-18T00:39:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9IZlU7AhnQQHAVpsHX3o06uuylm4IR+P/jWy9k2TKWEfWRi+n8wNpW7tlA7oenbSG9YL/msKNX+d8pw8Pl4iAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:37:19.366774Z"},"content_sha256":"a9f1e3a178c0cac3d69cf5031b42c36803672095706d75f4065f0a918a4050c9","schema_version":"1.0","event_id":"sha256:a9f1e3a178c0cac3d69cf5031b42c36803672095706d75f4065f0a918a4050c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:XZ2KVAHULOXSKMLFZNC4E7LAT6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SICs and Algebraic Number Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Gary McConnell, Jon Yard, Marcus Appleby, Steven Flammia","submitted_at":"2017-01-18T19:00:40Z","abstract_excerpt":"We give an overview of some remarkable connections between symmetric informationally complete measurements (SIC-POVMs, or SICs) and algebraic number theory, in particular, a connection with Hilbert's 12th problem. The paper is meant to be intelligible to a physicist who has no prior knowledge of either Galois theory or algebraic number theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05200","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":"2026-05-18T00:39:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NZfSLu3JKWDiKavt/FMI/3DFifB2NxywTtUZ/3SFHEVm0QfwujgkMoR7ofIMNWU96t4gEgT8yxt0okxTiGhgDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:37:19.367125Z"},"content_sha256":"69ae62bd3e573253c9786211971e5b5080a05f496bd12ed45ee3614db6c86fad","schema_version":"1.0","event_id":"sha256:69ae62bd3e573253c9786211971e5b5080a05f496bd12ed45ee3614db6c86fad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XZ2KVAHULOXSKMLFZNC4E7LAT6/bundle.json","state_url":"https://pith.science/pith/XZ2KVAHULOXSKMLFZNC4E7LAT6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XZ2KVAHULOXSKMLFZNC4E7LAT6/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":"2026-06-20T06:37:19Z","links":{"resolver":"https://pith.science/pith/XZ2KVAHULOXSKMLFZNC4E7LAT6","bundle":"https://pith.science/pith/XZ2KVAHULOXSKMLFZNC4E7LAT6/bundle.json","state":"https://pith.science/pith/XZ2KVAHULOXSKMLFZNC4E7LAT6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XZ2KVAHULOXSKMLFZNC4E7LAT6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XZ2KVAHULOXSKMLFZNC4E7LAT6","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":"0f3030dacb010d3f5b69f58e18e5c8b116fc5174077720202683901089f4a291","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-18T19:00:40Z","title_canon_sha256":"6fa9803a3ab85a7ddff3467b99698b5a5a2cf4356c14972743cf1b08e930b392"},"schema_version":"1.0","source":{"id":"1701.05200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05200","created_at":"2026-05-18T00:39:46Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05200v1","created_at":"2026-05-18T00:39:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05200","created_at":"2026-05-18T00:39:46Z"},{"alias_kind":"pith_short_12","alias_value":"XZ2KVAHULOXS","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XZ2KVAHULOXSKMLF","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XZ2KVAHU","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:69ae62bd3e573253c9786211971e5b5080a05f496bd12ed45ee3614db6c86fad","target":"graph","created_at":"2026-05-18T00:39:46Z","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 give an overview of some remarkable connections between symmetric informationally complete measurements (SIC-POVMs, or SICs) and algebraic number theory, in particular, a connection with Hilbert's 12th problem. The paper is meant to be intelligible to a physicist who has no prior knowledge of either Galois theory or algebraic number theory.","authors_text":"Gary McConnell, Jon Yard, Marcus Appleby, Steven Flammia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-18T19:00:40Z","title":"SICs and Algebraic Number Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05200","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:a9f1e3a178c0cac3d69cf5031b42c36803672095706d75f4065f0a918a4050c9","target":"record","created_at":"2026-05-18T00:39:46Z","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":"0f3030dacb010d3f5b69f58e18e5c8b116fc5174077720202683901089f4a291","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-18T19:00:40Z","title_canon_sha256":"6fa9803a3ab85a7ddff3467b99698b5a5a2cf4356c14972743cf1b08e930b392"},"schema_version":"1.0","source":{"id":"1701.05200","kind":"arxiv","version":1}},"canonical_sha256":"be74aa80f45baf253165cb45c27d609f96cfff94fbb8ac79851b8f98cef244e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be74aa80f45baf253165cb45c27d609f96cfff94fbb8ac79851b8f98cef244e1","first_computed_at":"2026-05-18T00:39:46.967816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:46.967816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sd4G7T/kMQO2dPvDI38Nm8EX59RKby2uM37jkN8sYlg8BANhEshp2MfOQf+lIz1DWca5JChl1ifKFc02BVcnCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:46.968539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9f1e3a178c0cac3d69cf5031b42c36803672095706d75f4065f0a918a4050c9","sha256:69ae62bd3e573253c9786211971e5b5080a05f496bd12ed45ee3614db6c86fad"],"state_sha256":"ff9662213d643c86a4ca4c102d6e1bae0fa7b9e6d0e38fd9b4a02e742488f15c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"apfCFF8uRUIZmhrkB720Xz01skASr8AmIaGQ+MxmpPzuQBeoifzNkEgxHq6zl0xxQRgvd+NPcnxLnXKVYHHnDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T06:37:19.369143Z","bundle_sha256":"c8691869832255b63cb3b979c8b9eb397b58ac20d6a46b113f126f34daf7a336"}}