{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LWFRVJ377FPV4C4NFR2VWNCFBE","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":"f71d168ee9c289c4d2a51b7e4d2503ccb230a77ee92bc6362f0f90d9d6e0c77c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-09-17T09:29:15Z","title_canon_sha256":"9057015ae9d4206ae49b1a20ed5b044de3fb73f8fbda51d5c06b2d708adecbf1"},"schema_version":"1.0","source":{"id":"1209.3604","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3604","created_at":"2026-05-18T03:45:23Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3604v1","created_at":"2026-05-18T03:45:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3604","created_at":"2026-05-18T03:45:23Z"},{"alias_kind":"pith_short_12","alias_value":"LWFRVJ377FPV","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LWFRVJ377FPV4C4N","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LWFRVJ37","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:dbed01e9723d0ab80c4249338fcee549966b3fbd0a42b9986f5180cce743d9ab","target":"graph","created_at":"2026-05-18T03:45:23Z","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":"Cross polarization (CP) dynamics, which was remained unknown for five decades, has been derived analytically in the zero- and double-quantum spaces. The initial polarization in the double-quantum space is a constant of motion under strong pulse condition ($|\\omega_{1I}+\\omega_{1S}|\\gg |d(t)|$), while the Hamiltonian in the zero-quantum space reduces to $d(t)\\sigma_{z}^{\\Delta}$ under the Hartmann-Hahn match condition ($\\omega_{1I}=\\omega_{1S}$). The time dependent Hamilontian ($d(t)\\sigma_{z}^{\\Delta}$) in the zero-quantum space can be expressed by average Hamiltonians. Since$[d(t')\\sigma_{z}^","authors_text":"Peng Li, Qun Chen, Shanmin Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-09-17T09:29:15Z","title":"Analytical Solution of Cross Polarization Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3604","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:b0d3172599848fa4e9aa590cab28481af48acfb4f14951fad9090c24445068ae","target":"record","created_at":"2026-05-18T03:45:23Z","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":"f71d168ee9c289c4d2a51b7e4d2503ccb230a77ee92bc6362f0f90d9d6e0c77c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-09-17T09:29:15Z","title_canon_sha256":"9057015ae9d4206ae49b1a20ed5b044de3fb73f8fbda51d5c06b2d708adecbf1"},"schema_version":"1.0","source":{"id":"1209.3604","kind":"arxiv","version":1}},"canonical_sha256":"5d8b1aa77ff95f5e0b8d2c755b3445093b25ca2fe3ae8e05d72f22d7df01b70c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d8b1aa77ff95f5e0b8d2c755b3445093b25ca2fe3ae8e05d72f22d7df01b70c","first_computed_at":"2026-05-18T03:45:23.839165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:23.839165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qkVCfAyrcWVh5aIiQk6LDbjMrxucGXi4tZgMsvOrvrrHdumpnsDjQniBi/l2vDkF2l0drzCA00myObziGF6dDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:23.839583Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3604","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0d3172599848fa4e9aa590cab28481af48acfb4f14951fad9090c24445068ae","sha256:dbed01e9723d0ab80c4249338fcee549966b3fbd0a42b9986f5180cce743d9ab"],"state_sha256":"32f2d2a7edc1b5a7f183c6e72cb7c660ca23af116e3e3a7cae7ab3352d64b3b5"}