Pith Number

pith:PEUXG75U

pith:2026:PEUXG75UGYXLZVZ3L2TOOIFEHX

not attested not anchored not stored refs pending

Breaking the Quadratic Barrier for von Neumann Entropy Estimation

Minbo Gao, Qisheng Wang

arxiv:2608.11151 v1 · 2026-08-11 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEUXG75UGYXLZVZ3L2TOOIFEHX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-08-12T01:24:42.411123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7929737fb4362ebcd73b5ea6e720a43df559c8107a9849a8506f36b3aaf5823d

Aliases

arxiv: 2608.11151 · arxiv_version: 2608.11151v1 · doi: 10.48550/arxiv.2608.11151 · pith_short_12: PEUXG75UGYXL · pith_short_16: PEUXG75UGYXLZVZ3 · pith_short_8: PEUXG75U

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/PEUXG75UGYXLZVZ3L2TOOIFEHX \
  | 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: 7929737fb4362ebcd73b5ea6e720a43df559c8107a9849a8506f36b3aaf5823d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d5ef0cf3fdaeb9f38c63c737e810b5f2246c52bf5bfdd508b1c45b81820d35",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-11T17:10:34Z",
    "title_canon_sha256": "c52a23631bf73aa5527e5f01428d62d4858201162e8197396088e76316d60c96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11151",
    "kind": "arxiv",
    "version": 1
  }
}