Pith Number

pith:TFSWXUUC

pith:2024:TFSWXUUCTJZLAOFD3F7HODDBEP

not attested not anchored not stored refs pending

A short proof of the Four Colour Theorem

Carl Feghali

arxiv:2410.09757 v2 · 2024-10-13 · 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{TFSWXUUCTJZLAOFD3F7HODDBEP}

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	2026-07-05T09:22:22.866700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99656bd2829a72b038a3d97e770c6123fa36119d73e752ae7a08d1e7fef687e8

Aliases

arxiv: 2410.09757 · arxiv_version: 2410.09757v2 · doi: 10.48550/arxiv.2410.09757 · pith_short_12: TFSWXUUCTJZL · pith_short_16: TFSWXUUCTJZLAOFD · pith_short_8: TFSWXUUC

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/TFSWXUUCTJZLAOFD3F7HODDBEP \
  | 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: 99656bd2829a72b038a3d97e770c6123fa36119d73e752ae7a08d1e7fef687e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe263829447bb5f4578d84c18152d1be9ccc284ead8cb690b99bbe3d494c0594",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-13T07:27:11Z",
    "title_canon_sha256": "1df245dd0981eacb489a8e62fec39e239533cd4a1bfdef825c24b8c9b7112999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.09757",
    "kind": "arxiv",
    "version": 2
  }
}