Pith Number

pith:RJ6K3PDU

pith:2013:RJ6K3PDUTVU5XWD3HRFSI6QLJW

not attested not anchored not stored refs pending

Reachability Probabilities of Quantum Markov Chains

Mingsheng Ying, Nengkun Yu, Shenggang Ying, Yuan Feng

arxiv:1304.0060 v2 · 2013-03-30 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJ6K3PDUTVU5XWD3HRFSI6QLJW}

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

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	2026-05-18T03:21:33.346398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a7cadbc749d69dbd87b3c4b247a0b4d93b473f1a387efb37efd6a21b3cae597

Aliases

arxiv: 1304.0060 · arxiv_version: 1304.0060v2 · doi: 10.48550/arxiv.1304.0060 · pith_short_12: RJ6K3PDUTVU5 · pith_short_16: RJ6K3PDUTVU5XWD3 · pith_short_8: RJ6K3PDU

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/RJ6K3PDUTVU5XWD3HRFSI6QLJW \
  | 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: 8a7cadbc749d69dbd87b3c4b247a0b4d93b473f1a387efb37efd6a21b3cae597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7603185352303eacc6d43882b9a2901a02f12eb677b8f9ad670eec9782e1680a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-03-30T02:16:01Z",
    "title_canon_sha256": "d6f8133394eae3ff16fd8c33c7e5d5312cb31e4b43325fd49716cd34cafe1619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0060",
    "kind": "arxiv",
    "version": 2
  }
}