{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XQYCP7AOXVMZRYTYM43ZIF4O6L","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":"e711b9857083ca118a513d9240f1f3f1d088472a1f4efe3a286b463ee4a3c69d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-25T14:47:37Z","title_canon_sha256":"87c4bdc88394460f3c540a0a5339c43f0b6cf32a9971f9300705e3f137683e09"},"schema_version":"1.0","source":{"id":"1108.5105","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5105","created_at":"2026-05-18T04:06:46Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5105v1","created_at":"2026-05-18T04:06:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5105","created_at":"2026-05-18T04:06:46Z"},{"alias_kind":"pith_short_12","alias_value":"XQYCP7AOXVMZ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XQYCP7AOXVMZRYTY","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XQYCP7AO","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:ea4973076e28bb22c7fbf88d7f4584effd4071f99f1d08572d4efee1b25b6bb5","target":"graph","created_at":"2026-05-18T04:06:46Z","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":"Density matrix for N-qubit symmetric state or spin-j state (j = N/2) is expressed in terms of the well known Fano statistical tensor parameters. Employing the multiaxial representation [1], wherein a spin-j density matrix is shown to be characterized by j(2j+1) axes and 2j real scalars, we enumerate the number of invariants constructed out of these axes and scalars. These invariants are explicitly calculated in the particular case of pure as well as mixed spin-1 state.","authors_text":"Swarnamala Sirsi, Veena Adiga","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-25T14:47:37Z","title":"SU(2) Invariants of Symmetric Qubit States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5105","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:ca0d2a83a62c128c35a4dfa01ab78853f07162f5960b80ea32269a38b969a874","target":"record","created_at":"2026-05-18T04:06:46Z","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":"e711b9857083ca118a513d9240f1f3f1d088472a1f4efe3a286b463ee4a3c69d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-08-25T14:47:37Z","title_canon_sha256":"87c4bdc88394460f3c540a0a5339c43f0b6cf32a9971f9300705e3f137683e09"},"schema_version":"1.0","source":{"id":"1108.5105","kind":"arxiv","version":1}},"canonical_sha256":"bc3027fc0ebd5998e278673794178ef2ef2907d2c0bb4d6ed393483862ba2a24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc3027fc0ebd5998e278673794178ef2ef2907d2c0bb4d6ed393483862ba2a24","first_computed_at":"2026-05-18T04:06:46.011640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:46.011640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kEHwduABNZdI8He8NF2fYRQ3Kq+ijYvN8vDdle2ghcJsGgZoLgH4xM538RCX/GuNPjxOnAV3neM4933EsNufBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:46.012270Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5105","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca0d2a83a62c128c35a4dfa01ab78853f07162f5960b80ea32269a38b969a874","sha256:ea4973076e28bb22c7fbf88d7f4584effd4071f99f1d08572d4efee1b25b6bb5"],"state_sha256":"5b84b6c76a3e3d3c2739bbcb237c215a42d6ddc3c9ad37ce880a61cc5f9b1693"}