{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:M4OILZAEWJSW3ZKZ6P5KWA4YCQ","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":"13c8ec83e96164d2d6fc9c2acec8e4da37479efc23d8542fc81ddeb974b5e940","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1999-07-30T12:37:15Z","title_canon_sha256":"28835dad5c95a8e37f94c2dd4be2df75cbc5b3a6b5b94f11a8732b5b36568362"},"schema_version":"1.0","source":{"id":"quant-ph/9907101","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9907101","created_at":"2026-05-18T01:37:52Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9907101v1","created_at":"2026-05-18T01:37:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9907101","created_at":"2026-05-18T01:37:52Z"},{"alias_kind":"pith_short_12","alias_value":"M4OILZAEWJSW","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"M4OILZAEWJSW3ZKZ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"M4OILZAE","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:2fb314ef9f8ff974f2b7f6e3a09de7ce7ac60e95775ac8202bcf8194d4b2b9e9","target":"graph","created_at":"2026-05-18T01:37:52Z","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":"The expectation values of a hermitean operator A in (2s+1)(2s+1) specific coherent states of a spin are known to determine the operator unambiguously. As shown here, (almost) any other (2s+1)(2s+1) coherent states also provide a basis for self-adjoint operators. This is proven by considering the determinant of the Gram matrix associated with the coherent state projectors as a Hamiltonian of a fictitious classical spin system.","authors_text":"Stefan Weigert","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1999-07-30T12:37:15Z","title":"Expanding Hermitean Operators in a Basis of Projectors on Coherent Spin States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9907101","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:b09a41a16cf8648c04c1112801d4f005c56e211d2098b7ed847ffaa5c3ebcf1f","target":"record","created_at":"2026-05-18T01:37:52Z","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":"13c8ec83e96164d2d6fc9c2acec8e4da37479efc23d8542fc81ddeb974b5e940","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1999-07-30T12:37:15Z","title_canon_sha256":"28835dad5c95a8e37f94c2dd4be2df75cbc5b3a6b5b94f11a8732b5b36568362"},"schema_version":"1.0","source":{"id":"quant-ph/9907101","kind":"arxiv","version":1}},"canonical_sha256":"671c85e404b2656de559f3faab039814152aa2f739aee9ae4f84510e65269340","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"671c85e404b2656de559f3faab039814152aa2f739aee9ae4f84510e65269340","first_computed_at":"2026-05-18T01:37:52.384758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:52.384758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ReXPnyY711RDxnQpGurKfVQLVWBdLPmPlFfg59ixp/boy0+IdsK7gSUWvnarlUGcjeMUQIxKU76sJR/llhIqAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:52.385289Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9907101","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b09a41a16cf8648c04c1112801d4f005c56e211d2098b7ed847ffaa5c3ebcf1f","sha256:2fb314ef9f8ff974f2b7f6e3a09de7ce7ac60e95775ac8202bcf8194d4b2b9e9"],"state_sha256":"b7e41fa0627260a20841c7fdbd7a6c28cd1a4466c750da1af7a6104da2832e69"}