Pith Number

pith:75UWDALN

pith:2010:75UWDALNBWBF442WX2Z7FFY4X5

not attested not anchored not stored refs pending

On limiting distributions of quantum Markov chains

Chaobin Liu, Nelson Petulante

arxiv:1010.0741 v5 · 2010-10-05 · 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{75UWDALNBWBF442WX2Z7FFY4X5}

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	2026-05-18T03:34:46.553070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff6961816d0d825e7356beb3f2971cbf6c7bf56af9071e6c89aa681d6a3af568

Aliases

arxiv: 1010.0741 · arxiv_version: 1010.0741v5 · doi: 10.48550/arxiv.1010.0741 · pith_short_12: 75UWDALNBWBF · pith_short_16: 75UWDALNBWBF442W · pith_short_8: 75UWDALN

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/75UWDALNBWBF442WX2Z7FFY4X5 \
  | 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: ff6961816d0d825e7356beb3f2971cbf6c7bf56af9071e6c89aa681d6a3af568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dcc3a5410acd177974f7e2fc1e8ecd153e067052b3d96c3cdd7dfc4c457b4ae",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-05T00:56:03Z",
    "title_canon_sha256": "ebed364991cc8276c526657b8eba8a73cac950fc57c655732b258faeedc093b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0741",
    "kind": "arxiv",
    "version": 5
  }
}