Pith Number

pith:LCDSYEF7

pith:2018:LCDSYEF7JK76RPSMPSV7UQBFMM

not attested not anchored not stored refs pending

Planar graphs without cycles of length 4 or 5 are (11:3)-colorable

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

arxiv:1802.04179 v2 · 2018-02-12 · 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{LCDSYEF7JK76RPSMPSV7UQBFMM}

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	2026-05-17T23:40:41.920484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58872c10bf4abfe8be4c7cabfa40256333d2b85df82c73205b891b7f1a0fc4dd

Aliases

arxiv: 1802.04179 · arxiv_version: 1802.04179v2 · doi: 10.48550/arxiv.1802.04179 · pith_short_12: LCDSYEF7JK76 · pith_short_16: LCDSYEF7JK76RPSM · pith_short_8: LCDSYEF7

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/LCDSYEF7JK76RPSMPSV7UQBFMM \
  | 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: 58872c10bf4abfe8be4c7cabfa40256333d2b85df82c73205b891b7f1a0fc4dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bdd0852379e567ab6aaa279a0a41a9281c622309849421451ff99de80cf1df9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-12T16:47:21Z",
    "title_canon_sha256": "97703c04227bfdd761167f409089e755b23cb7799be410bbad35de1bdc33e6d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04179",
    "kind": "arxiv",
    "version": 2
  }
}