Pith Number

pith:4Q5LRDNH

pith:2018:4Q5LRDNHJ2OHOCA47WBYLSF3KK

not attested not anchored not stored refs pending

$\delta^{(k)}$-Colouring of Cycle Related Graphs

Johan Kok, Sudev Naduvath

arxiv:1807.01915 v1 · 2018-07-05 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Q5LRDNHJ2OHOCA47WBYLSF3KK}

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	2026-05-18T00:11:24.712030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e43ab88da74e9c77081cfd8385c8bb529f728e0e6d84185382d7e4e279f09dcb

Aliases

arxiv: 1807.01915 · arxiv_version: 1807.01915v1 · doi: 10.48550/arxiv.1807.01915 · pith_short_12: 4Q5LRDNHJ2OH · pith_short_16: 4Q5LRDNHJ2OHOCA4 · pith_short_8: 4Q5LRDNH

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/4Q5LRDNHJ2OHOCA47WBYLSF3KK \
  | 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: e43ab88da74e9c77081cfd8385c8bb529f728e0e6d84185382d7e4e279f09dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "522c76faa593b59f094883de9f9ca956b4f4a71fe1e8ca76aad0e2764eabcebe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2018-07-05T09:32:09Z",
    "title_canon_sha256": "08d2cdd48b73062843007fa63fb88fde00e1f60c07a456a2612d6099790becbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01915",
    "kind": "arxiv",
    "version": 1
  }
}