{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YBC4Z3GT4OXGTPWXCY6KADIMCU","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":"e2a9a775ec0926374c027de99996b96bf6e7d5315c6ebb97815b7263ca1c1969","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-06T14:09:21Z","title_canon_sha256":"36226648cc3a02c4a97dd040bb76a9c8c8c255068949bcee71fb7161bac6b5dc"},"schema_version":"1.0","source":{"id":"1610.01882","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.01882","created_at":"2026-05-18T00:52:49Z"},{"alias_kind":"arxiv_version","alias_value":"1610.01882v1","created_at":"2026-05-18T00:52:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.01882","created_at":"2026-05-18T00:52:49Z"},{"alias_kind":"pith_short_12","alias_value":"YBC4Z3GT4OXG","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YBC4Z3GT4OXGTPWX","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YBC4Z3GT","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:25a4d61452c902bb1b70ec7a69c63ab25c40123acbb0201c3a579a8c4b5c68d1","target":"graph","created_at":"2026-05-18T00:52:49Z","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 Shannon entropy, the desequilibrium and their generalizations (R\\'enyi and Tsallis entropies) of the three-dimensional single-particle systems in a spherically-symmetric potential $V(r)$ can be decomposed into angular and radial parts. The radial part depends on the analytical form of the potential, but the angular part does not. In this paper we first calculate the angular entropy of any central potential by means of two analytical procedures. Then, we explicitly find the dominant term of the radial entropy for the highly energetic (i.e., Rydberg) stationary states of the oscillator-like ","authors_text":"D. Puertas-Centeno, I.V. Toranzo, J.S. Dehesa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-06T14:09:21Z","title":"Entropic measures of Rydberg-like harmonic states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01882","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":"sha256:60d2c04a7070036f5af9133b56eabe486ab059d9f8fbcf007719bc8eea314d60","target":"record","created_at":"2026-05-18T00:52:49Z","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":"e2a9a775ec0926374c027de99996b96bf6e7d5315c6ebb97815b7263ca1c1969","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-06T14:09:21Z","title_canon_sha256":"36226648cc3a02c4a97dd040bb76a9c8c8c255068949bcee71fb7161bac6b5dc"},"schema_version":"1.0","source":{"id":"1610.01882","kind":"arxiv","version":1}},"canonical_sha256":"c045ccecd3e3ae69bed7163ca00d0c1527cd584b1b702d52f44c951c2df47dd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c045ccecd3e3ae69bed7163ca00d0c1527cd584b1b702d52f44c951c2df47dd8","first_computed_at":"2026-05-18T00:52:49.509532Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:49.509532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sh2Li0YEuHsUksmvYqz/SpSIv3BOq/KUrXMWQ4WezGFZqvFRHpGHyYNfjOf5e7H9NkJCRmxMR1IPTkvUOB3rBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:49.510130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.01882","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60d2c04a7070036f5af9133b56eabe486ab059d9f8fbcf007719bc8eea314d60","sha256:25a4d61452c902bb1b70ec7a69c63ab25c40123acbb0201c3a579a8c4b5c68d1"],"state_sha256":"1ab35a469b26d28bbe47b943af4c744a0044bd858432cd94982beed8712d1d1b"}