Pith Number

pith:JCFL6SXC

pith:2017:JCFL6SXCJUZG6FEBOCI5UQWAVN

not attested not anchored not stored refs pending

On minimal triangle-free 6-chromatic graphs

Jan Goedgebeur

arxiv:1707.07581 v3 · 2017-07-24 · 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{JCFL6SXCJUZG6FEBOCI5UQWAVN}

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	2026-05-18T00:09:09.973802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

488abf4ae24d326f14817091da42c0ab5e061df5ea297b04b2e8e6c85a9f9193

Aliases

arxiv: 1707.07581 · arxiv_version: 1707.07581v3 · doi: 10.48550/arxiv.1707.07581 · pith_short_12: JCFL6SXCJUZG · pith_short_16: JCFL6SXCJUZG6FEB · pith_short_8: JCFL6SXC

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/JCFL6SXCJUZG6FEBOCI5UQWAVN \
  | 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: 488abf4ae24d326f14817091da42c0ab5e061df5ea297b04b2e8e6c85a9f9193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d5309376fddee14f2647ad9e507412041ee3b7d0831b84f5e5ea1974ddbb65",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-24T14:43:58Z",
    "title_canon_sha256": "4769a4f680c3048f0ae9c2a767cf4675136e599cb8c4960fce4a73e1f9976617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07581",
    "kind": "arxiv",
    "version": 3
  }
}