Pith Number

pith:45ZO4JJZ

pith:2008:45ZO4JJZHKNVGNKW45JPUF6HNL

not attested not anchored not stored refs pending

On the Expressiveness and Complexity of ATL

Francois Laroussinie, Ghassan Oreiby, Nicolas Markey

arxiv:0804.2435 v3 · 2008-04-15 · cs.LO · cs.GT · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45ZO4JJZHKNVGNKW45JPUF6HNL}

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	2026-05-18T01:37:42.491392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e772ee25393a9b533556e752fa17c76ac11a0125eb2b80aede9cf09422d63c8f

Aliases

arxiv: 0804.2435 · arxiv_version: 0804.2435v3 · doi: 10.48550/arxiv.0804.2435 · pith_short_12: 45ZO4JJZHKNV · pith_short_16: 45ZO4JJZHKNVGNKW · pith_short_8: 45ZO4JJZ

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/45ZO4JJZHKNVGNKW45JPUF6HNL \
  | 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: e772ee25393a9b533556e752fa17c76ac11a0125eb2b80aede9cf09422d63c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dd7ca9a4f51674edebfb58527f51b06b8ae4992a2098b0a4b893e2c88eb9e4a",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2008-04-15T17:18:46Z",
    "title_canon_sha256": "8a019d9df60a78bb4f056123c2ebb7bd3e822e648a4886213963e332a34bb427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2435",
    "kind": "arxiv",
    "version": 3
  }
}