{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FKNTQPCIBJBNT7I4QDKKCB3QGM","short_pith_number":"pith:FKNTQPCI","canonical_record":{"source":{"id":"1707.02944","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-10T16:54:43Z","cross_cats_sorted":[],"title_canon_sha256":"2baaa7bf0277fbfcc02f7d3ec32703d3623f0e86272ffd606fa1b3a6281e211c","abstract_canon_sha256":"a18cbc307170d6c372b1ad9f2cca9160e2cecfd80b83865b9249a6d33abd721f"},"schema_version":"1.0"},"canonical_sha256":"2a9b383c480a42d9fd1c80d4a1077033149180c92d7954ffbc241f7beb49d08d","source":{"kind":"arxiv","id":"1707.02944","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.02944","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"arxiv_version","alias_value":"1707.02944v2","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.02944","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"pith_short_12","alias_value":"FKNTQPCIBJBN","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FKNTQPCIBJBNT7I4","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FKNTQPCI","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FKNTQPCIBJBNT7I4QDKKCB3QGM","target":"record","payload":{"canonical_record":{"source":{"id":"1707.02944","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-10T16:54:43Z","cross_cats_sorted":[],"title_canon_sha256":"2baaa7bf0277fbfcc02f7d3ec32703d3623f0e86272ffd606fa1b3a6281e211c","abstract_canon_sha256":"a18cbc307170d6c372b1ad9f2cca9160e2cecfd80b83865b9249a6d33abd721f"},"schema_version":"1.0"},"canonical_sha256":"2a9b383c480a42d9fd1c80d4a1077033149180c92d7954ffbc241f7beb49d08d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:01.325005Z","signature_b64":"T0omUv2M6toVnZ6HfGaNKNyBAwnGA2Cq/YBrLgnwybcg1FdHuBgI+CHvpgD+JALRFtKP6BUtkzFQr62U3qKtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a9b383c480a42d9fd1c80d4a1077033149180c92d7954ffbc241f7beb49d08d","last_reissued_at":"2026-05-18T00:29:01.324336Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:01.324336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.02944","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":"2026-05-18T00:29:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eYqxdXSKUcJGJ6aMYi3ABwF6scMVLs+/kYPlRig1hz4ArD3u+6/dRaMxVe2SK47DT9YfqxaJ6ZYg2QN3jTEXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:23:51.266189Z"},"content_sha256":"90e316e52b1b8e118b0075e58e1d5591f84a26ddfbe3398bc4b7df291a6e8133","schema_version":"1.0","event_id":"sha256:90e316e52b1b8e118b0075e58e1d5591f84a26ddfbe3398bc4b7df291a6e8133"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FKNTQPCIBJBNT7I4QDKKCB3QGM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fibonacci-Lucas SIC-POVMs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andrew J. Scott, Markus Grassl","submitted_at":"2017-07-10T16:54:43Z","abstract_excerpt":"We present a conjectured family of SIC-POVMs which have an additional symmetry group whose size is growing with the dimension. The symmetry group is related to Fibonacci numbers, while the dimension is related to Lucas numbers. The conjecture is supported by exact solutions for dimensions d=4,8,19,48,124,323, as well as a numerical solution for dimension d=844."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.02944","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":"2026-05-18T00:29:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JsZEDXK4ENNTmYSe5ik39Y7J0xgNA1yKgfNAKk/EUO9tCREZACE2X9w0jLvdI2il1EfUjn4im00S6c7Wttc5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:23:51.266556Z"},"content_sha256":"63f63b3f4236e2f998244d1f0abd43b3c28eb0c84f97dd647e19e2fbcf24a761","schema_version":"1.0","event_id":"sha256:63f63b3f4236e2f998244d1f0abd43b3c28eb0c84f97dd647e19e2fbcf24a761"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FKNTQPCIBJBNT7I4QDKKCB3QGM/bundle.json","state_url":"https://pith.science/pith/FKNTQPCIBJBNT7I4QDKKCB3QGM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FKNTQPCIBJBNT7I4QDKKCB3QGM/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":"2026-06-02T11:23:51Z","links":{"resolver":"https://pith.science/pith/FKNTQPCIBJBNT7I4QDKKCB3QGM","bundle":"https://pith.science/pith/FKNTQPCIBJBNT7I4QDKKCB3QGM/bundle.json","state":"https://pith.science/pith/FKNTQPCIBJBNT7I4QDKKCB3QGM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FKNTQPCIBJBNT7I4QDKKCB3QGM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FKNTQPCIBJBNT7I4QDKKCB3QGM","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":"a18cbc307170d6c372b1ad9f2cca9160e2cecfd80b83865b9249a6d33abd721f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-10T16:54:43Z","title_canon_sha256":"2baaa7bf0277fbfcc02f7d3ec32703d3623f0e86272ffd606fa1b3a6281e211c"},"schema_version":"1.0","source":{"id":"1707.02944","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.02944","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"arxiv_version","alias_value":"1707.02944v2","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.02944","created_at":"2026-05-18T00:29:01Z"},{"alias_kind":"pith_short_12","alias_value":"FKNTQPCIBJBN","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FKNTQPCIBJBNT7I4","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FKNTQPCI","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:63f63b3f4236e2f998244d1f0abd43b3c28eb0c84f97dd647e19e2fbcf24a761","target":"graph","created_at":"2026-05-18T00:29:01Z","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 conjectured family of SIC-POVMs which have an additional symmetry group whose size is growing with the dimension. The symmetry group is related to Fibonacci numbers, while the dimension is related to Lucas numbers. The conjecture is supported by exact solutions for dimensions d=4,8,19,48,124,323, as well as a numerical solution for dimension d=844.","authors_text":"Andrew J. Scott, Markus Grassl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-10T16:54:43Z","title":"Fibonacci-Lucas SIC-POVMs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.02944","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":"sha256:90e316e52b1b8e118b0075e58e1d5591f84a26ddfbe3398bc4b7df291a6e8133","target":"record","created_at":"2026-05-18T00:29:01Z","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":"a18cbc307170d6c372b1ad9f2cca9160e2cecfd80b83865b9249a6d33abd721f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-10T16:54:43Z","title_canon_sha256":"2baaa7bf0277fbfcc02f7d3ec32703d3623f0e86272ffd606fa1b3a6281e211c"},"schema_version":"1.0","source":{"id":"1707.02944","kind":"arxiv","version":2}},"canonical_sha256":"2a9b383c480a42d9fd1c80d4a1077033149180c92d7954ffbc241f7beb49d08d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a9b383c480a42d9fd1c80d4a1077033149180c92d7954ffbc241f7beb49d08d","first_computed_at":"2026-05-18T00:29:01.324336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:01.324336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T0omUv2M6toVnZ6HfGaNKNyBAwnGA2Cq/YBrLgnwybcg1FdHuBgI+CHvpgD+JALRFtKP6BUtkzFQr62U3qKtDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:01.325005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.02944","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90e316e52b1b8e118b0075e58e1d5591f84a26ddfbe3398bc4b7df291a6e8133","sha256:63f63b3f4236e2f998244d1f0abd43b3c28eb0c84f97dd647e19e2fbcf24a761"],"state_sha256":"bb9f165caac2d9c1d1f9078772b78053c75a594cb33b1f911239f39b5280cfb2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y6R+PmHR2qQejkPZjdm50lLhd0ygxMHhlXgTE0l4OHIC31BE2Sp7EZWipEzwMi5+z7i2UUpwJeEaOgEfyBZrCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T11:23:51.268505Z","bundle_sha256":"85ae9a6f59b467e903fa28377fc64690540e6200fb142d29c01a40068e225702"}}