Pith Number

pith:TXKPUABW

pith:2011:TXKPUABWMG5LTP3777ZL3P4LKN

not attested not anchored not stored refs pending

Complexity of Model Checking Recursion Schemes for Fragments of the Modal Mu-Calculus

C.-H. Luke Ong (Oxford University Computing Laboratory), Naoki Kobayashi (Graduate School of Information Sciences, Tohoku University)

arxiv:1109.5267 v2 · 2011-09-24 · cs.LO · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXKPUABWMG5LTP3777ZL3P4LKN}

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	2026-05-18T01:37:39.231013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd4fa003661bab9bf7ffff2bdbf8b536136c435da493c7e907b167c661bc310

Aliases

arxiv: 1109.5267 · arxiv_version: 1109.5267v2 · doi: 10.48550/arxiv.1109.5267 · pith_short_12: TXKPUABWMG5L · pith_short_16: TXKPUABWMG5LTP37 · pith_short_8: TXKPUABW

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/TXKPUABWMG5LTP3777ZL3P4LKN \
  | 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: 9dd4fa003661bab9bf7ffff2bdbf8b536136c435da493c7e907b167c661bc310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "167595cd9d11ac7d94ddfffb1e72c6c966bb9b4d01d11414bb5925542c64a84d",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-09-24T14:05:50Z",
    "title_canon_sha256": "f9724819adf542c5b463181272f1dfd9ac644ca260e9a87f1ef3ac11cd038f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5267",
    "kind": "arxiv",
    "version": 2
  }
}