Pith Number

pith:AN4RCZJR

pith:2010:AN4RCZJR6LEKNPC4OFQSWTV6F2

not attested not anchored not stored refs pending

On graph classes with logarithmic boolean-width

Martin Vatshelle, R\'emy Belmonte

arxiv:1009.0216 v2 · 2010-09-01 · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AN4RCZJR6LEKNPC4OFQSWTV6F2}

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	2026-05-18T04:18:43.756244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0379116531f2c8a6bc5c71612b4ebe2e8517f68005dc1b33f94b877c540c6e76

Aliases

arxiv: 1009.0216 · arxiv_version: 1009.0216v2 · doi: 10.48550/arxiv.1009.0216 · pith_short_12: AN4RCZJR6LEK · pith_short_16: AN4RCZJR6LEKNPC4 · pith_short_8: AN4RCZJR

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/AN4RCZJR6LEKNPC4OFQSWTV6F2 \
  | 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: 0379116531f2c8a6bc5c71612b4ebe2e8517f68005dc1b33f94b877c540c6e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f501de2343cee2d8bd76a2b8d88f51133ff3e23b0b0b81632e5507a9060506f1",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-09-01T16:06:00Z",
    "title_canon_sha256": "29dbb3212257ee6676759e3c071cb3b9240afcbf85e9c982cd639b7ac05bb549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0216",
    "kind": "arxiv",
    "version": 2
  }
}