Pith Number

pith:X4OE5IFM

pith:2012:X4OE5IFM2C7EBOFVX7EFIRQUUS

not attested not anchored not stored refs pending

The enumeration of three pattern classes

M. D. Atkinson, M. H. Albert, Robert Brignall

arxiv:1206.3183 v1 · 2012-06-14 · 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{X4OE5IFM2C7EBOFVX7EFIRQUUS}

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	2026-05-18T03:53:32.342053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1c4ea0acd0be40b8b5bfc8544614a4a367bab32128cedab1e6880ed4afaf7d

Aliases

arxiv: 1206.3183 · arxiv_version: 1206.3183v1 · doi: 10.48550/arxiv.1206.3183 · pith_short_12: X4OE5IFM2C7E · pith_short_16: X4OE5IFM2C7EBOFV · pith_short_8: X4OE5IFM

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/X4OE5IFM2C7EBOFVX7EFIRQUUS \
  | 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: bf1c4ea0acd0be40b8b5bfc8544614a4a367bab32128cedab1e6880ed4afaf7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8face9e70027bafde5a1cc289a865d19b65cebf28d58e63a3fdeb75afc69fb08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-14T17:08:58Z",
    "title_canon_sha256": "337e531aa3d0f56dd6049027c88a7b2733a7fa628b22fbe1de6626c90839c044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3183",
    "kind": "arxiv",
    "version": 1
  }
}