Pith Number

pith:NPRPQUQQ

pith:2016:NPRPQUQQKDCN5OXWPCTXVNRR3L

not attested not anchored not stored refs pending

Vizing's conjecture for cographs

Elliot Krop

arxiv:1609.08370 v3 · 2016-09-27 · 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{NPRPQUQQKDCN5OXWPCTXVNRR3L}

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	2026-05-18T01:03:25.975859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be2f8521050c4debaf678a77ab631dacae77306cceccbd0fc8601746fe6ae71

Aliases

arxiv: 1609.08370 · arxiv_version: 1609.08370v3 · doi: 10.48550/arxiv.1609.08370 · pith_short_12: NPRPQUQQKDCN · pith_short_16: NPRPQUQQKDCN5OXW · pith_short_8: NPRPQUQQ

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/NPRPQUQQKDCN5OXWPCTXVNRR3L \
  | 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: 6be2f8521050c4debaf678a77ab631dacae77306cceccbd0fc8601746fe6ae71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d1643853ab64f68aea7c0e7a3b2d962c8a105218cb88ae6404869b66621cd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-27T12:07:19Z",
    "title_canon_sha256": "f6a4a001c750ddb6e8ee1d51091cb7c99299a7d1fed015578a43625aca37d62e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08370",
    "kind": "arxiv",
    "version": 3
  }
}