{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FLG7XRNYHKIGFGUND6QBT5QQ3N","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":"b7c22466c32aa0f1b1e7cff154d02caefcd2f47f0f8477a9d4f7c77f8c02dd6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-05-23T07:13:49Z","title_canon_sha256":"9033a319136fe6c4f2a72759da52f13be5bf4ba6271cd1e6cb9d7bbddbc2276e"},"schema_version":"1.0","source":{"id":"1305.5334","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5334","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5334v1","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5334","created_at":"2026-05-18T03:25:05Z"},{"alias_kind":"pith_short_12","alias_value":"FLG7XRNYHKIG","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FLG7XRNYHKIGFGUN","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FLG7XRNY","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:640c3222ff0161941868eed36d6b7d048d1cb3b10d684d54a54691541e476b75","target":"graph","created_at":"2026-05-18T03:25:05Z","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 R\\'enyi and Shannon entropies are information-theoretic measures which have enabled to formulate the position-momentum uncertainty principle in a much more adequate and stringent way than the (variance-based) Heisenberg-like relation. Moreover, they are closely related to various energetic density-functionals of quantum systems. Here we find sharp upper bounds to these quantities in terms of the second order moment $\\langle r^2\\rangle$ for general spherically symmetric potentials, which substantially improve previous results of this type, by means of the R\\'enyi maximization procedure with","authors_text":"Jesus S. Dehesa, Pablo S\\'anchez-Moreno, Steeve Zozor","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-05-23T07:13:49Z","title":"Rigorous bounds for Renyi entropies of spherically symmetric potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5334","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:a2045f08bbea839f718dc23f69a2a825ee113cf5d63cb3e3ddbd23004d1cb71b","target":"record","created_at":"2026-05-18T03:25:05Z","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":"b7c22466c32aa0f1b1e7cff154d02caefcd2f47f0f8477a9d4f7c77f8c02dd6c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-05-23T07:13:49Z","title_canon_sha256":"9033a319136fe6c4f2a72759da52f13be5bf4ba6271cd1e6cb9d7bbddbc2276e"},"schema_version":"1.0","source":{"id":"1305.5334","kind":"arxiv","version":1}},"canonical_sha256":"2acdfbc5b83a90629a8d1fa019f610db7c08feeb623f35169ca31783443e0a2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2acdfbc5b83a90629a8d1fa019f610db7c08feeb623f35169ca31783443e0a2b","first_computed_at":"2026-05-18T03:25:05.073410Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:05.073410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yRuSjRt0SRiG3rEZXD0cML4fhc7FrOMkVWp0n2elU1JwWZq4yHhGU1+csz6UAse2mGbbXonL+fG73R8GsOQwDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:05.073926Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5334","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2045f08bbea839f718dc23f69a2a825ee113cf5d63cb3e3ddbd23004d1cb71b","sha256:640c3222ff0161941868eed36d6b7d048d1cb3b10d684d54a54691541e476b75"],"state_sha256":"0dc35d436e1b2da0dc7fb420a0b0198ec0df9f55759bc2880dd6eb4f2ba0d513"}