Pith Number

pith:AOZFVL23

pith:2023:AOZFVL23XUZKT4P7N7HVQC2GNR

not attested not anchored not stored refs pending

One-half reflected entropy is not a lower bound for entanglement of purification

Georgios Stratis, Josiah Couch, Phuc Nguyen, Sarah Racz, Yuxuan Zhang

arxiv:2309.02506 v2 · 2023-09-05 · quant-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOZFVL23XUZKT4P7N7HVQC2GNR}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

R\'enyi Entanglement of Purification and Half R\'enyi Reflected Entropy in Free Scalar Theory

Receipt and verification

First computed	2026-07-05T07:47:59.018088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b25aaf5bbd32a9f1ff6fcf580b466c7fce31719b5c11593e92b892f98aeeb0

Aliases

arxiv: 2309.02506 · arxiv_version: 2309.02506v2 · doi: 10.48550/arxiv.2309.02506 · pith_short_12: AOZFVL23XUZK · pith_short_16: AOZFVL23XUZKT4P7 · pith_short_8: AOZFVL23

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AOZFVL23XUZKT4P7N7HVQC2GNR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 03b25aaf5bbd32a9f1ff6fcf580b466c7fce31719b5c11593e92b892f98aeeb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71f7d91ceeed7efa2c1f5454ff2b4f5ff6128dc1ff8c04700b67014da4ffe76e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-09-05T18:00:13Z",
    "title_canon_sha256": "37b8fc2bd5016a6b8f63b9d13286b2e4f0cc1327c9f731ee3ba270d314c13333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.02506",
    "kind": "arxiv",
    "version": 2
  }
}