Pith Number

pith:MN2WA64W

pith:2012:MN2WA64WG4QCD7FY4SI3TDDN6F

not attested not anchored not stored refs pending

The COMICS Tool - Computing Minimal Counterexamples for Discrete-time Markov Chains

Andreas Vorpahl, Bernd Becker, Erika \'Abrah\'am, Joost-Pieter Katoen, Maik Scheffler, Matthias Volk, Nils Jansen, Ralf Wimmer

arxiv:1206.0603 v1 · 2012-06-04 · cs.SE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MN2WA64WG4QCD7FY4SI3TDDN6F}

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	2026-05-18T02:21:09.181135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6375607b96372021fcb8e491b98c6df177fa4b8dfa6d3d472a17da06a8457874

Aliases

arxiv: 1206.0603 · arxiv_version: 1206.0603v1 · doi: 10.48550/arxiv.1206.0603 · pith_short_12: MN2WA64WG4QC · pith_short_16: MN2WA64WG4QCD7FY · pith_short_8: MN2WA64W

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/MN2WA64WG4QCD7FY4SI3TDDN6F \
  | 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: 6375607b96372021fcb8e491b98c6df177fa4b8dfa6d3d472a17da06a8457874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a7fa2e3becc4cada9d3beab76b494fd23cb367a1f2d484a85a149c72aa22265",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SE",
    "submitted_at": "2012-06-04T12:58:35Z",
    "title_canon_sha256": "258954985a335eb8da394ed8b0bd645389996b25c21dd059891e908a587a01e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0603",
    "kind": "arxiv",
    "version": 1
  }
}