Pith Number

pith:YCTUUJ7B

pith:2001:YCTUUJ7BWOLQDYHEGE6VRDHCUB

not attested not anchored not stored refs pending

Reformulating the Map Color Theorem

Louis H. Kauffman

arxiv:math/0112266 v2 · 2001-12-23 · 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{YCTUUJ7BWOLQDYHEGE6VRDHCUB}

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	2026-07-04T14:35:49.930493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a74a27e1b39701e0e4313d588ce2a0756b8f816c2f49f33567ab491f767d4b

Aliases

arxiv: math/0112266 · arxiv_version: math/0112266v2 · doi: 10.48550/arxiv.math/0112266 · pith_short_12: YCTUUJ7BWOLQ · pith_short_16: YCTUUJ7BWOLQDYHE · pith_short_8: YCTUUJ7B

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/YCTUUJ7BWOLQDYHEGE6VRDHCUB \
  | 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: c0a74a27e1b39701e0e4313d588ce2a0756b8f816c2f49f33567ab491f767d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "889ddef463adee0735dd4e60abbb822bf3a47e40e165d3f2f207012c24ee7608",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2001-12-23T23:40:44Z",
    "title_canon_sha256": "d2355705b94052485d83a06c3ae3e8ac29f6808690c32f0b036e763260c5e0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112266",
    "kind": "arxiv",
    "version": 2
  }
}