Pith Number

pith:7SRS5VYX

pith:2012:7SRS5VYXD36Y43YBUOEO53QWDA

not attested not anchored not stored refs pending

Asymptotic properties of quantum Markov chains

Gernot Alber, Igor Jex, Jaroslav Novotny

arxiv:1208.0764 v1 · 2012-08-03 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SRS5VYXD36Y43YBUOEO53QWDA}

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	2026-05-18T01:55:23.330187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca32ed7171efd8e6f01a388eeee16180bf5d6e80fdebf55eef9d34cdacf98cb

Aliases

arxiv: 1208.0764 · arxiv_version: 1208.0764v1 · doi: 10.48550/arxiv.1208.0764 · pith_short_12: 7SRS5VYXD36Y · pith_short_16: 7SRS5VYXD36Y43YB · pith_short_8: 7SRS5VYX

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/7SRS5VYXD36Y43YBUOEO53QWDA \
  | 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: fca32ed7171efd8e6f01a388eeee16180bf5d6e80fdebf55eef9d34cdacf98cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a25c1d242659ab9392a0687b23ced115f3b3ea957145a2671b37c0d9fa4d4f1d",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-03T14:46:22Z",
    "title_canon_sha256": "588d3e65d1f15a14429c3270d5fbff9db89b9eefaba3e6871975b427ca487c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0764",
    "kind": "arxiv",
    "version": 1
  }
}