{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:HONPSF2UQKPAGWUBCSQRN2XKBM","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":"a22eba21dc562ce9e718eccf3226bf5a13f44196ee28cfa97a2313fb847d2575","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-23T17:42:12Z","title_canon_sha256":"cbff6cc8fe72e3b6d81e69eefbdc9ea120017fbe6a09955462a79bbcd38481ce"},"schema_version":"1.0","source":{"id":"2008.10076","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.10076","created_at":"2026-07-05T02:12:01Z"},{"alias_kind":"arxiv_version","alias_value":"2008.10076v1","created_at":"2026-07-05T02:12:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.10076","created_at":"2026-07-05T02:12:01Z"},{"alias_kind":"pith_short_12","alias_value":"HONPSF2UQKPA","created_at":"2026-07-05T02:12:01Z"},{"alias_kind":"pith_short_16","alias_value":"HONPSF2UQKPAGWUB","created_at":"2026-07-05T02:12:01Z"},{"alias_kind":"pith_short_8","alias_value":"HONPSF2U","created_at":"2026-07-05T02:12:01Z"}],"graph_snapshots":[{"event_id":"sha256:57c06ed71d9d9a547a6c8c56ccb5d253bc676477763cb89530e95ecb6d040c7f","target":"graph","created_at":"2026-07-05T02:12:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2008.10076/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An alternative method is presented for extracting the von Neumann entropy $-\\operatorname{Tr} (\\rho \\ln \\rho)$ from $\\operatorname{Tr} (\\rho^n)$ for integer $n$ in a quantum system with density matrix $\\rho$. Instead of relying on direct analytic continuation in $n$, the method uses a generating function $-\\operatorname{Tr} \\{ \\rho \\ln [(1-z \\rho) / (1-z)] \\}$ of an auxiliary complex variable $z$. The generating function has a Taylor series that is absolutely convergent within $|z|<1$, and may be analytically continued in $z$ to $z = -\\infty$ where it gives the von Neumann entropy. As an examp","authors_text":"Chih-Hung Wu, Eric D'Hoker, Xi Dong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-23T17:42:12Z","title":"An Alternative Method for Extracting the von Neumann Entropy from Renyi Entropies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.10076","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":"sha256:645282dabd6aaffec911274a1390d50facc9c28afceb23eb0f927d626bb68302","target":"record","created_at":"2026-07-05T02:12:01Z","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":"a22eba21dc562ce9e718eccf3226bf5a13f44196ee28cfa97a2313fb847d2575","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-23T17:42:12Z","title_canon_sha256":"cbff6cc8fe72e3b6d81e69eefbdc9ea120017fbe6a09955462a79bbcd38481ce"},"schema_version":"1.0","source":{"id":"2008.10076","kind":"arxiv","version":1}},"canonical_sha256":"3b9af91754829e035a8114a116eaea0b3aa9c07f291d78957c896bf808502542","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b9af91754829e035a8114a116eaea0b3aa9c07f291d78957c896bf808502542","first_computed_at":"2026-07-05T02:12:01.232249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:12:01.232249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ehrs/SezaiV56+bIzfAdkcDJgzrX5vaRBZE4S5L2N++zvgQD3/U8+YsQN9ttDaVdxoT67tLI1io5yczQmAN4BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:12:01.232692Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.10076","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:645282dabd6aaffec911274a1390d50facc9c28afceb23eb0f927d626bb68302","sha256:57c06ed71d9d9a547a6c8c56ccb5d253bc676477763cb89530e95ecb6d040c7f"],"state_sha256":"d974195b49c94e09e94df8676f6116f77d9f02cf1c19a657d907270a9c72ee38"}