Pith Number

pith:LKSY6FD7

pith:2018:LKSY6FD76K5BNRRY4AMFZUC6NX

not attested not anchored not stored refs pending

Planar graphs without cycles of lengths 4 and 5 and close triangles are DP-3-colorable

Gexin Yu, Yuxue Yin

arxiv:1809.00925 v1 · 2018-09-04 · 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{LKSY6FD76K5BNRRY4AMFZUC6NX}

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	2026-05-18T00:06:32.133900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa58f147ff2ba16c638e0185cd05e6dc97dd77a6971d881eacde19079ab6918

Aliases

arxiv: 1809.00925 · arxiv_version: 1809.00925v1 · doi: 10.48550/arxiv.1809.00925 · pith_short_12: LKSY6FD76K5B · pith_short_16: LKSY6FD76K5BNRRY · pith_short_8: LKSY6FD7

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/LKSY6FD76K5BNRRY4AMFZUC6NX \
  | 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: 5aa58f147ff2ba16c638e0185cd05e6dc97dd77a6971d881eacde19079ab6918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "656a801cfbfbb27c998e5e90c0540761e6c4b97729101ba89e8edce7e54dfe54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-04T12:53:32Z",
    "title_canon_sha256": "effc3c9c79f5de111e1c9dbf237797a759471b470405f80f5cd41babbb69cf30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00925",
    "kind": "arxiv",
    "version": 1
  }
}