{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AQW3I4QEGAFPUKNPR2J4NIYM4A","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":"1a5505f590c631338f38fd26d4592c2736eaeb0510319b6cc3a996c60195588f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-19T08:24:21Z","title_canon_sha256":"51335d6c742891dc04ced8578c68982302c5ae9b91f5340617450cc45dbef127"},"schema_version":"1.0","source":{"id":"1312.5433","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5433","created_at":"2026-05-18T03:04:14Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5433v1","created_at":"2026-05-18T03:04:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5433","created_at":"2026-05-18T03:04:14Z"},{"alias_kind":"pith_short_12","alias_value":"AQW3I4QEGAFP","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AQW3I4QEGAFPUKNP","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AQW3I4QE","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:2624059a6bc7882198944da9c4d108bc715b2c720af7a85637ec8d191bb855b8","target":"graph","created_at":"2026-05-18T03:04:14Z","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 set forth a method to analyze the orbital angular momentum of a light field. Instead of using the canonical formalism for the conjugate pair angle-angular momentum, we model this latter variable by the superposition of two independent harmonic oscillators along two orthogonal axes. By describing each oscillator by a standard Wigner function, we derive, via a consistent change of variables, a comprehensive picture of the orbital angular momentum. We compare with previous approaches and show how this method works in some relevant examples.","authors_text":"A. B. Klimov, G. Leuchs, I. Rigas, J. Rehacek, L. L. Sanchez-Soto, P. de la Hoz, Z. Hradil","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-19T08:24:21Z","title":"Orbital angular momentum from marginals of quadrature distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5433","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:b6817370b224d7543cd4874d5ca254dd1ddc24b02b65b7abdad3d4bc39fd277c","target":"record","created_at":"2026-05-18T03:04:14Z","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":"1a5505f590c631338f38fd26d4592c2736eaeb0510319b6cc3a996c60195588f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-19T08:24:21Z","title_canon_sha256":"51335d6c742891dc04ced8578c68982302c5ae9b91f5340617450cc45dbef127"},"schema_version":"1.0","source":{"id":"1312.5433","kind":"arxiv","version":1}},"canonical_sha256":"042db47204300afa29af8e93c6a30ce014ca794f1683973c734a8fc82bc83693","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"042db47204300afa29af8e93c6a30ce014ca794f1683973c734a8fc82bc83693","first_computed_at":"2026-05-18T03:04:14.790327Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:14.790327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0G+vZ0W076tdrgtZU5YVjSijTNKtp9ldaJ4lgtLrFDlVU6uFoulbgIIUTDQ2RZqteG7KvoKaQpRPKXOKLriFBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:14.790715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.5433","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6817370b224d7543cd4874d5ca254dd1ddc24b02b65b7abdad3d4bc39fd277c","sha256:2624059a6bc7882198944da9c4d108bc715b2c720af7a85637ec8d191bb855b8"],"state_sha256":"868ee37807784f5978e8bf9c461355f76d412bf72c46e79f239a212bdba7e92d"}