Pith Number

pith:WJOAIFRJ

pith:2021:WJOAIFRJG2BOAS34LSQWGAU4O6

not attested not anchored not stored refs pending

Weak diameter coloring of graphs on surfaces

Sergey Norin, Zden\v{e}k Dvo\v{r}\'ak

arxiv:2111.07147 v1 · 2021-11-13 · 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{WJOAIFRJG2BOAS34LSQWGAU4O6}

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	2026-07-05T03:31:36.560614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b25c0416293682e04b7c5ca163029c77a1631a5d0c21a230339e22627dcf4649

Aliases

arxiv: 2111.07147 · arxiv_version: 2111.07147v1 · doi: 10.48550/arxiv.2111.07147 · pith_short_12: WJOAIFRJG2BO · pith_short_16: WJOAIFRJG2BOAS34 · pith_short_8: WJOAIFRJ

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/WJOAIFRJG2BOAS34LSQWGAU4O6 \
  | 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: b25c0416293682e04b7c5ca163029c77a1631a5d0c21a230339e22627dcf4649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d47933170df36922466b9b9c64935187d885e53cb1b8336e291fc5ffba8ec99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-11-13T16:35:20Z",
    "title_canon_sha256": "86e0c3215febe4d6bea6ffafa068507755590d49a38e8ce768501c85291d0f39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07147",
    "kind": "arxiv",
    "version": 1
  }
}