{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VMM4KQADJHI4T23IOYJZHIF5TU","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":"a0d06a1bd5a812fab3e10e3660be48c5e88797b496f1e092b6eac641164d05e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-04-05T16:16:46Z","title_canon_sha256":"a4317cf72a49f51ed097af00a06567ca156270bc98abaeb48eaf933f02af573e"},"schema_version":"1.0","source":{"id":"1904.03145","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.03145","created_at":"2026-05-17T23:42:53Z"},{"alias_kind":"arxiv_version","alias_value":"1904.03145v2","created_at":"2026-05-17T23:42:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.03145","created_at":"2026-05-17T23:42:53Z"},{"alias_kind":"pith_short_12","alias_value":"VMM4KQADJHI4","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VMM4KQADJHI4T23I","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VMM4KQAD","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:6badeef7157a2b875a285d76c467453d032cd89202c3e38cba967b6b94a8ab36","target":"graph","created_at":"2026-05-17T23:42:53Z","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":"In this work, we consider the phase-space picture of quantum mechanics. We then introduce non-negative Wigner-like (operational) distributions \\widetilde{\\mathcal W}_{rho;alpha}(x,p) corresponding to the density operator \\hat{rho} and being proportional to {W_{rho^(alpha/2)}(x,p)}^2, where W_{rho}(x,p) denotes the usual Wigner function. In doing so, we utilize the formal symmetry between the purity measure Tr(rho^2) and its Wigner representation (2 pi hbar) \\int dx dp {W_{rho}(x,p)}^2 and then consider, as a generalization, such symmetry between the fractional moment Tr(\\hat{rho}^{alpha}) and ","authors_text":"Ilki Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-04-05T16:16:46Z","title":"Non-negative Wigner-like distributions and Renyi-Wigner entropies of arbitrary non-Gaussian quantum states: The thermal state of the one-dimensional box problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.03145","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":"sha256:153ff4cc7b2087205806b34c4ef2b2ca2dac9c7535bfe2cb6aca2074d89b1867","target":"record","created_at":"2026-05-17T23:42:53Z","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":"a0d06a1bd5a812fab3e10e3660be48c5e88797b496f1e092b6eac641164d05e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-04-05T16:16:46Z","title_canon_sha256":"a4317cf72a49f51ed097af00a06567ca156270bc98abaeb48eaf933f02af573e"},"schema_version":"1.0","source":{"id":"1904.03145","kind":"arxiv","version":2}},"canonical_sha256":"ab19c5400349d1c9eb68761393a0bd9d2d88eaba9ec6a5399b01da63f78f9f9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab19c5400349d1c9eb68761393a0bd9d2d88eaba9ec6a5399b01da63f78f9f9e","first_computed_at":"2026-05-17T23:42:53.229473Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:53.229473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iojkP59tq74DIDu6kr6xAWVRd6xI97BQ2T/HzgVNksxDihfuJfvVgeCN0rkE9GZ6BbWpFHXxkKd+Gu98H0u4Dw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:53.230109Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.03145","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:153ff4cc7b2087205806b34c4ef2b2ca2dac9c7535bfe2cb6aca2074d89b1867","sha256:6badeef7157a2b875a285d76c467453d032cd89202c3e38cba967b6b94a8ab36"],"state_sha256":"e896a52f55f716dc0502cdad670c984b79c26090b6973e15d4089efab3bcedd2"}