Pith Number

pith:5NKUOT2U

pith:2016:5NKUOT2UHEJWLFXP2ICR4DE2NE

not attested not anchored not stored refs pending

Certain Chromatic Sums of Some Cycle Related Graph Classes

Johan Kok, K. P. Chithra, N. K. Sudev

arxiv:1606.00268 v1 · 2016-06-01 · 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{5NKUOT2UHEJWLFXP2ICR4DE2NE}

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	2026-05-18T01:13:05.621103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb55474f5439136596efd2051e0c9a6913b302d0002343a8d58ec7f183111db6

Aliases

arxiv: 1606.00268 · arxiv_version: 1606.00268v1 · doi: 10.48550/arxiv.1606.00268 · pith_short_12: 5NKUOT2UHEJW · pith_short_16: 5NKUOT2UHEJWLFXP · pith_short_8: 5NKUOT2U

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/5NKUOT2UHEJWLFXP2ICR4DE2NE \
  | 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: eb55474f5439136596efd2051e0c9a6913b302d0002343a8d58ec7f183111db6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd3de3d47342d3117fc8c87f510aa999ce1d79aa6270d31398755e189260a5f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-06-01T13:01:58Z",
    "title_canon_sha256": "e375edf7570c5aa512f6a3d2fdf007348c6001f51a70ed1be96d6568a7dd8802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00268",
    "kind": "arxiv",
    "version": 1
  }
}