Pith Number

pith:25GFWKNP

pith:2026:25GFWKNPESQJ6PTCMYGORIQB24

not attested not anchored not stored refs pending

Uncountably many inequivalent maximally entangled measurements for two qutrits

Alejandro Pozas-Kerstjens, Elna Svegborn, Jef Pauwels, Nicolas Gisin

arxiv:2607.16396 v1 · 2026-07-17 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25GFWKNPESQJ6PTCMYGORIQB24}

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	2026-07-21T00:20:15.791543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d74c5b29af24a09f3e62660ce8a201d7070f626c18883e8b0fa478236587f08d

Aliases

arxiv: 2607.16396 · arxiv_version: 2607.16396v1 · doi: 10.48550/arxiv.2607.16396 · pith_short_12: 25GFWKNPESQJ · pith_short_16: 25GFWKNPESQJ6PTC · pith_short_8: 25GFWKNP

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/25GFWKNPESQJ6PTCMYGORIQB24 \
  | 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: d74c5b29af24a09f3e62660ce8a201d7070f626c18883e8b0fa478236587f08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a350cefe5c869ad4ebfb22cea46c0a027c99f6b0d3a5cbd6dbb8dd7712e2fa9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-17T18:00:01Z",
    "title_canon_sha256": "705b2673b55289b509c9922c5ea2d52dabf3330fdefea0bbff82f36c956c1722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16396",
    "kind": "arxiv",
    "version": 1
  }
}