Pith Number

pith:7ZZ6C3X7

pith:2011:7ZZ6C3X7567T7PLVLPGHXJR4IL

not attested not anchored not stored refs pending

Bisimulations Meet PCTL Equivalences for Probabilistic Automata

Denmark), Flemming Nielson (DTU Compute, Jens Chr. Godskesen (IT University of Copenhagen, Lei Song (IT University of Copenhagen, Lijun Zhang (DTU Informatics, Technical University of Denmark)

arxiv:1106.2181 v5 · 2011-06-10 · 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{7ZZ6C3X7567T7PLVLPGHXJR4IL}

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	2026-05-18T01:37:39.431108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe73e16effefbf3fbd755bcc7ba63c42f138f0599eb1087fcb4401bc114bae2a

Aliases

arxiv: 1106.2181 · arxiv_version: 1106.2181v5 · doi: 10.48550/arxiv.1106.2181 · pith_short_12: 7ZZ6C3X7567T · pith_short_16: 7ZZ6C3X7567T7PLV · pith_short_8: 7ZZ6C3X7

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/7ZZ6C3X7567T7PLVLPGHXJR4IL \
  | 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: fe73e16effefbf3fbd755bcc7ba63c42f138f0599eb1087fcb4401bc114bae2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "734a39be02091699cf4009a71212243890e383d160bc626cfe062f8ba3177efb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-06-10T22:03:53Z",
    "title_canon_sha256": "ebd92c8d55642ffa5fcc2332f45da696b0b85357b9c7fd2fa2051e83af5ae9f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2181",
    "kind": "arxiv",
    "version": 5
  }
}