Pith Number

pith:2GKGONWC

pith:2013:2GKGONWCTQ3HQJC7CCGGAH74MB

not attested not anchored not stored refs pending

Clique versus Independent Set

Aur\'elie Lagoutte, Nicolas Bousquet, St\'ephan Thomass\'e

arxiv:1301.2474 v3 · 2013-01-11 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GKGONWCTQ3HQJC7CCGGAH74MB}

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	2026-05-18T02:48:55.037608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1946736c29c3678245f108c601ffc604753da4a92af8bd62ff4a2668929854f

Aliases

arxiv: 1301.2474 · arxiv_version: 1301.2474v3 · doi: 10.48550/arxiv.1301.2474 · pith_short_12: 2GKGONWCTQ3H · pith_short_16: 2GKGONWCTQ3HQJC7 · pith_short_8: 2GKGONWC

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/2GKGONWCTQ3HQJC7CCGGAH74MB \
  | 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: d1946736c29c3678245f108c601ffc604753da4a92af8bd62ff4a2668929854f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54e899c6d18557f2cd77cda5fcc83a8dc9e1ec02f6f1921ec7619ff506bf7c1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-01-11T12:22:54Z",
    "title_canon_sha256": "0b22f3c3ddb660f7967315d92eebeb06321b3192c6a203073f91b9fe02ca04d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2474",
    "kind": "arxiv",
    "version": 3
  }
}