Pith Number

pith:VD23JEI5

pith:2023:VD23JEI5NNQQJV7KS25M7IBO73

not attested not anchored not stored refs pending

Embedded graph 3-coloring and flows

Bernard Lidick\'y, Caroline Bang, Emily Heath, Zden\v{e}k Dvo\v{r}\'ak

arxiv:2303.05583 v1 · 2023-03-09 · 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{VD23JEI5NNQQJV7KS25M7IBO73}

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	2026-07-05T05:49:45.486614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f5b4911d6b6104d7ea96bacfa02efec6643ef8a9c294091823f24bb5aa3cb3

Aliases

arxiv: 2303.05583 · arxiv_version: 2303.05583v1 · doi: 10.48550/arxiv.2303.05583 · pith_short_12: VD23JEI5NNQQ · pith_short_16: VD23JEI5NNQQJV7K · pith_short_8: VD23JEI5

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/VD23JEI5NNQQJV7KS25M7IBO73 \
  | 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: a8f5b4911d6b6104d7ea96bacfa02efec6643ef8a9c294091823f24bb5aa3cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d292ed7129004b10863e925396634abbd83670628cd54dc284ad2c1b502411b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-09T21:15:10Z",
    "title_canon_sha256": "81a005df0999531d17a231fc35fa87917997a37ad5cfc0fc5ede86ce5e0e2c65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.05583",
    "kind": "arxiv",
    "version": 1
  }
}