Pith Number

pith:BFZOKDLQ

pith:2016:BFZOKDLQYKICLRZZ2PIY4QU2ZM

not attested not anchored not stored refs pending

Decomposition of Quantum Markov Chains and Its Applications

Ji Guan, Mingsheng Ying, Yuan Feng

arxiv:1608.06024 v2 · 2016-08-22 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFZOKDLQYKICLRZZ2PIY4QU2ZM}

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	2026-05-18T00:23:23.489299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0972e50d70c29025c739d3d18e429acb14014c76f69554b1920e27a536f4426a

Aliases

arxiv: 1608.06024 · arxiv_version: 1608.06024v2 · doi: 10.48550/arxiv.1608.06024 · pith_short_12: BFZOKDLQYKIC · pith_short_16: BFZOKDLQYKICLRZZ · pith_short_8: BFZOKDLQ

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/BFZOKDLQYKICLRZZ2PIY4QU2ZM \
  | 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: 0972e50d70c29025c739d3d18e429acb14014c76f69554b1920e27a536f4426a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d6d3183b4eb9ad72e675e67018d5b68b4718680b699e50a73dc122325d3deda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-08-22T00:53:15Z",
    "title_canon_sha256": "824cc9ea3893e1dcfbdfeb3ff2561502d8506f03e60b06330054d062a29d3421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06024",
    "kind": "arxiv",
    "version": 2
  }
}