Pith Number

pith:JYVQ4MPX

pith:2015:JYVQ4MPXNFKSEE4LHYJ36M5OG4

not attested not anchored not stored refs pending

On uniquely 3-colorable plane graphs without prescribed adjacent faces

Enqiang Zhu, Jin Xu, Naoki Matsumoto, Tommy Jensen, Zepeng Li

arxiv:1509.03053 v1 · 2015-09-10 · 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{JYVQ4MPXNFKSEE4LHYJ36M5OG4}

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	2026-05-18T01:33:25.612117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e2b0e31f7695522138b3e13bf33ae37266e20c067aa7a6b9f6082f1162bfa44

Aliases

arxiv: 1509.03053 · arxiv_version: 1509.03053v1 · doi: 10.48550/arxiv.1509.03053 · pith_short_12: JYVQ4MPXNFKS · pith_short_16: JYVQ4MPXNFKSEE4L · pith_short_8: JYVQ4MPX

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/JYVQ4MPXNFKSEE4LHYJ36M5OG4 \
  | 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: 4e2b0e31f7695522138b3e13bf33ae37266e20c067aa7a6b9f6082f1162bfa44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c7cfbd97d1232242e95ae0bde50bcd00a5ad713e810029e0ee18f51030bb12a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-10T08:47:20Z",
    "title_canon_sha256": "6d1506e9132203818004296cb47319d6200ae4196ee820fe8d6e0dcac2153d9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03053",
    "kind": "arxiv",
    "version": 1
  }
}