Pith Number

pith:Y2YEXQWN

pith:2008:Y2YEXQWNXTT62WDCKE7CCXVG7E

not attested not anchored not stored refs pending

Permutation classes of every growth rate above 2.48188

Vincent Vatter

arxiv:0807.2815 v2 · 2008-07-17 · 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{Y2YEXQWNXTT62WDCKE7CCXVG7E}

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	2026-05-18T03:02:44.837252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b04bc2cdbce7ed5862513e215ea6f9260846fd343072fa96ff322f997e9250

Aliases

arxiv: 0807.2815 · arxiv_version: 0807.2815v2 · doi: 10.48550/arxiv.0807.2815 · pith_short_12: Y2YEXQWNXTT6 · pith_short_16: Y2YEXQWNXTT62WDC · pith_short_8: Y2YEXQWN

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/Y2YEXQWNXTT62WDCKE7CCXVG7E \
  | 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: c6b04bc2cdbce7ed5862513e215ea6f9260846fd343072fa96ff322f997e9250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af04672df320920b8b43c69e0e4e82144c95807ee66197109c95dd3c0286b401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-07-17T16:03:19Z",
    "title_canon_sha256": "f61afe86b5fe6fbc629fa4857b0ffe785c6acf8fe9c7fc2c1c6913453e9f873e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2815",
    "kind": "arxiv",
    "version": 2
  }
}