Pith Number

pith:YHZ33ADX

pith:2011:YHZ33ADXHVNFGCDSUS6ILCPTD5

not attested not anchored not stored refs pending

Barycentric measure of quantum entanglement

Karol \.Zyczkowski, Marek Ku\'s, Wojciech Ganczarek

arxiv:1112.0437 v2 · 2011-12-02 · 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{YHZ33ADXHVNFGCDSUS6ILCPTD5}

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	2026-05-18T03:59:02.937454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f3bd80773d5a530872a4bc8589f31f4caf569dba6925ad1183f797bb1b42f9

Aliases

arxiv: 1112.0437 · arxiv_version: 1112.0437v2 · doi: 10.48550/arxiv.1112.0437 · pith_short_12: YHZ33ADXHVNF · pith_short_16: YHZ33ADXHVNFGCDS · pith_short_8: YHZ33ADX

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/YHZ33ADXHVNFGCDSUS6ILCPTD5 \
  | 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: c1f3bd80773d5a530872a4bc8589f31f4caf569dba6925ad1183f797bb1b42f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d8a20aeb0265955b1f52265924dd7b471ab77a5c203b66b3777d489a3c03d2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-02T11:57:02Z",
    "title_canon_sha256": "b87f0c20c40d63db9e7d856f2ccb61ecc60a467e8e1aaa99ae1bf9be7dde00e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0437",
    "kind": "arxiv",
    "version": 2
  }
}