Pith Number

pith:BPIZMDBF

pith:2010:BPIZMDBFHESRVZRK27CERTGHXH

not attested not anchored not stored refs pending

Expressiveness and Closure Properties for Quantitative Languages

EPFL Switzerland), Krishnendu Chatterjee (IST Austria), Laurent Doyen (CNRS France), Thomas A Henzinger (IST Austria

arxiv:1007.4018 v2 · 2010-07-22 · 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{BPIZMDBFHESRVZRK27CERTGHXH}

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	2026-05-18T01:37:39.944676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd1960c2539251ae62ad7c448ccc7b9c2c285eddbe9583bdb70f97c6615100f

Aliases

arxiv: 1007.4018 · arxiv_version: 1007.4018v2 · doi: 10.48550/arxiv.1007.4018 · pith_short_12: BPIZMDBFHESR · pith_short_16: BPIZMDBFHESRVZRK · pith_short_8: BPIZMDBF

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/BPIZMDBFHESRVZRK27CERTGHXH \
  | 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: 0bd1960c2539251ae62ad7c448ccc7b9c2c285eddbe9583bdb70f97c6615100f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3995eab4d66a34fc545173d94219ae6b68b1312c15414e18393f5a3336638f71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2010-07-22T22:13:12Z",
    "title_canon_sha256": "245f2ef0e293ecbe29c552d4cec0e8ebde20ccde46d4411158dbf45f1326d506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4018",
    "kind": "arxiv",
    "version": 2
  }
}