Pith Number

pith:HOZLSTVR

pith:2012:HOZLSTVRGLPI726M6W6UMKYCUF

not attested not anchored not stored refs pending

Probabilistic modal {\mu}-calculus with independent product

Ecole Polytechnique), Matteo Mio (LIX

arxiv:1211.1511 v2 · 2012-11-07 · 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{HOZLSTVRGLPI726M6W6UMKYCUF}

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	2026-05-18T01:37:38.386597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bb2b94eb132de8febccf5bd462b02a15352c73b1ef02b792cb388064f97f843

Aliases

arxiv: 1211.1511 · arxiv_version: 1211.1511v2 · doi: 10.48550/arxiv.1211.1511 · pith_short_12: HOZLSTVRGLPI · pith_short_16: HOZLSTVRGLPI726M · pith_short_8: HOZLSTVR

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/HOZLSTVRGLPI726M6W6UMKYCUF \
  | 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: 3bb2b94eb132de8febccf5bd462b02a15352c73b1ef02b792cb388064f97f843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04fa74418f834fa5789629cedb79abc65d1248302e9bd6b7120475734d32eadf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-11-07T10:50:03Z",
    "title_canon_sha256": "003d841102ff85b3d18371f09c633c58c50c55a64096266d56719058d736786e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1511",
    "kind": "arxiv",
    "version": 2
  }
}