Pith Number

pith:522P2R64

pith:2012:522P2R64474TZW5Q2G6QGUBZPF

not attested not anchored not stored refs pending

On the Maximum Number of Colors for Links

Louis H. Kauffman, Pedro Lopes, Slavik Jablan

arxiv:1205.1467 v3 · 2012-05-07 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{522P2R64474TZW5Q2G6QGUBZPF}

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	2026-05-18T03:32:57.013254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeb4fd47dce7f93cdbb0d1bd035039797108cc724d32f20049a7cc6588a23c3a

Aliases

arxiv: 1205.1467 · arxiv_version: 1205.1467v3 · doi: 10.48550/arxiv.1205.1467 · pith_short_12: 522P2R64474T · pith_short_16: 522P2R64474TZW5Q · pith_short_8: 522P2R64

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/522P2R64474TZW5Q2G6QGUBZPF \
  | 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: eeb4fd47dce7f93cdbb0d1bd035039797108cc724d32f20049a7cc6588a23c3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ea8be588ca42de5fa9cfd56e12fa5702efebb1e5e5919c648e11aed9e738ff9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-07T17:38:25Z",
    "title_canon_sha256": "e3df0e6c4a0785d49ef5a8ecf731ee89785671fece78bae7a4c7a5b6657f92f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1467",
    "kind": "arxiv",
    "version": 3
  }
}