Pith Number

pith:YTYMN7GA

pith:2017:YTYMN7GA4GCXE66FYUWOAL6C63

not attested not anchored not stored refs pending

Colouring perfect graphs with bounded clique number

Aur\'elie Lagoutte, Maria Chudnovsky, Paul Seymour, Sophie Spirkl

arxiv:1707.03747 v1 · 2017-07-12 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTYMN7GA4GCXE66FYUWOAL6C63}

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	2026-05-18T00:40:25.113718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f0c6fcc0e185727bc5c52ce02fc2f6e8c8f3232b3631c119625530ab4a4073

Aliases

arxiv: 1707.03747 · arxiv_version: 1707.03747v1 · doi: 10.48550/arxiv.1707.03747 · pith_short_12: YTYMN7GA4GCX · pith_short_16: YTYMN7GA4GCXE66F · pith_short_8: YTYMN7GA

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/YTYMN7GA4GCXE66FYUWOAL6C63 \
  | 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: c4f0c6fcc0e185727bc5c52ce02fc2f6e8c8f3232b3631c119625530ab4a4073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba874624c6ffa3bf14f741963b76fea6b618f52519bb0c8782aa9f5ad32ce219",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-12T14:56:22Z",
    "title_canon_sha256": "136dfd7b7f0545e9c301cee762e7e0d1c8647aa1ccde6163f98fa1170d5063f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03747",
    "kind": "arxiv",
    "version": 1
  }
}