Pith Number

pith:YFHLK54U

pith:2010:YFHLK54UM2QFIAQPRZP5IRXLTY

not attested not anchored not stored refs pending

Minimum Number of Fox Colors for Small Primes

J. Matias, P. Lopes

arxiv:1001.1334 v2 · 2010-01-08 · 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{YFHLK54UM2QFIAQPRZP5IRXLTY}

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	2026-05-18T04:24:43.897502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14eb5779466a054020f8e5fd446eb9e38896d3083f4607c1435d43801ebfd5b

Aliases

arxiv: 1001.1334 · arxiv_version: 1001.1334v2 · doi: 10.48550/arxiv.1001.1334 · pith_short_12: YFHLK54UM2QF · pith_short_16: YFHLK54UM2QFIAQP · pith_short_8: YFHLK54U

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/YFHLK54UM2QFIAQPRZP5IRXLTY \
  | 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: c14eb5779466a054020f8e5fd446eb9e38896d3083f4607c1435d43801ebfd5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4443d4df6a7e0fcf229a6616215ab48f4bd0979e1a94506dbc73d610f94ea0e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-01-08T18:50:19Z",
    "title_canon_sha256": "6051e713758d5efb53b1553d49c3faa4c057e513fa9ca1465f0bb59f2d49aeb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1334",
    "kind": "arxiv",
    "version": 2
  }
}