Pith Number

pith:VOPJGQVQ

pith:2015:VOPJGQVQPHX36R2QF6F2MBHA2L

not attested not anchored not stored refs pending

Quantum Markov chains: description of hybrid systems, decidability of equivalence, and model checking linear-time properties

Lvzhou Li, Yuan Feng

arxiv:1506.08982 v1 · 2015-06-30 · quant-ph · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOPJGQVQPHX36R2QF6F2MBHA2L}

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	2026-05-18T01:37:33.964721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9e9342b079efbf47502f8ba604e0d2f6c1265b3f41ebf61246bfb2a8641ff0

Aliases

arxiv: 1506.08982 · arxiv_version: 1506.08982v1 · doi: 10.48550/arxiv.1506.08982 · pith_short_12: VOPJGQVQPHX3 · pith_short_16: VOPJGQVQPHX36R2Q · pith_short_8: VOPJGQVQ

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/VOPJGQVQPHX36R2QF6F2MBHA2L \
  | 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: ab9e9342b079efbf47502f8ba604e0d2f6c1265b3f41ebf61246bfb2a8641ff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c56c4c38620da96b279d1ac185d1738f8d88327532999eafe3f574580362ce34",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-06-30T08:08:55Z",
    "title_canon_sha256": "be9e44095b47656423803deda40e335adb65c62e15ffab702921f8fa1be3db49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08982",
    "kind": "arxiv",
    "version": 1
  }
}