Pith Number

pith:HXMIWXAQ

pith:2017:HXMIWXAQJLOWGPLCOFCSVLFCUL

not attested not anchored not stored refs pending

A note on two conjectures that strengthen the four colour theorem

Xuding Zhu

arxiv:1711.02848 v1 · 2017-11-08 · 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{HXMIWXAQJLOWGPLCOFCSVLFCUL}

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	2026-05-18T00:31:01.538945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dd88b5c104add633d6271452aaca2a2c597c62ee1201a30689fcbf268b66efe

Aliases

arxiv: 1711.02848 · arxiv_version: 1711.02848v1 · doi: 10.48550/arxiv.1711.02848 · pith_short_12: HXMIWXAQJLOW · pith_short_16: HXMIWXAQJLOWGPLC · pith_short_8: HXMIWXAQ

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/HXMIWXAQJLOWGPLCOFCSVLFCUL \
  | 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: 3dd88b5c104add633d6271452aaca2a2c597c62ee1201a30689fcbf268b66efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78513f660e8c9d752659781dbfd2063c1f7db145882d554b7c826091a7da1d50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-08T06:55:58Z",
    "title_canon_sha256": "f8afe37697d6af2dc403b2b6b23fb0e8a889eb9e23aabfdb81c722010358b8d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02848",
    "kind": "arxiv",
    "version": 1
  }
}