Pith Number

pith:UWO4DVHJ

pith:2011:UWO4DVHJZBRIOCXL3ZXXZDQOQ5

not attested not anchored not stored refs pending

On the Complexity of the Equivalence Problem for Probabilistic Automata

Andrzej S. Murawski, Bj\"orn Wachter, James Worrell, Jo\"el Ouaknine, Stefan Kiefer

arxiv:1112.4644 v2 · 2011-12-20 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UWO4DVHJZBRIOCXL3ZXXZDQOQ5}

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	2026-05-18T04:05:05.016746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a59dc1d4e9c862870aebde6f7c8e0e877c9f97cbe6cde8f1f3e643ecb2955946

Aliases

arxiv: 1112.4644 · arxiv_version: 1112.4644v2 · doi: 10.48550/arxiv.1112.4644 · pith_short_12: UWO4DVHJZBRI · pith_short_16: UWO4DVHJZBRIOCXL · pith_short_8: UWO4DVHJ

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/UWO4DVHJZBRIOCXL3ZXXZDQOQ5 \
  | 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: a59dc1d4e9c862870aebde6f7c8e0e877c9f97cbe6cde8f1f3e643ecb2955946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0043ea5dfee5817711486fbbb343ebf9d213ca20426a6f6bb57aba6bf50426fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-12-20T10:47:45Z",
    "title_canon_sha256": "3f159f2bae93b5f9970e2bc84e8210ced2c2c8fd2f21f411ff056581e30f9e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4644",
    "kind": "arxiv",
    "version": 2
  }
}