Pith Number

pith:MAXMCJIB

pith:2018:MAXMCJIB4EB3PDGGZKNGTW7IQF

not attested not anchored not stored refs pending

Fractional coloring of planar graphs of girth five

Xiaolan Hu, Zden\v{e}k Dvo\v{r}\'ak

arxiv:1809.05439 v1 · 2018-09-14 · 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{MAXMCJIB4EB3PDGGZKNGTW7IQF}

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	2026-05-18T00:05:41.428548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

602ec12501e103b78cc6ca9a69dbe8815f92143c5c1385342b5a9faf6dde7bb0

Aliases

arxiv: 1809.05439 · arxiv_version: 1809.05439v1 · doi: 10.48550/arxiv.1809.05439 · pith_short_12: MAXMCJIB4EB3 · pith_short_16: MAXMCJIB4EB3PDGG · pith_short_8: MAXMCJIB

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/MAXMCJIB4EB3PDGGZKNGTW7IQF \
  | 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: 602ec12501e103b78cc6ca9a69dbe8815f92143c5c1385342b5a9faf6dde7bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "073a51a6ed0bdfbcf73efd345c6b46bf33c5acf41315b84efbc71f420d2af72c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-14T14:26:15Z",
    "title_canon_sha256": "d8c09bb415d573f5848696b4224d05ae56d60ee61ce088d5bc0e2e06bf175d4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05439",
    "kind": "arxiv",
    "version": 1
  }
}