Pith Number

pith:HOEYPXRC

pith:2016:HOEYPXRCXXRTGIJ67IA7SVGJ6F

not attested not anchored not stored refs pending

Growth rates of permutation classes: categorization up to the uncountability threshold

Jay Pantone, Vincent Vatter

arxiv:1605.04289 v3 · 2016-05-13 · 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{HOEYPXRCXXRTGIJ67IA7SVGJ6F}

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	2026-05-17T23:48:47.966126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b8987de22bde333213efa01f954c9f1535e8ae63b4f15e9c2879327aa845b0f

Aliases

arxiv: 1605.04289 · arxiv_version: 1605.04289v3 · doi: 10.48550/arxiv.1605.04289 · pith_short_12: HOEYPXRCXXRT · pith_short_16: HOEYPXRCXXRTGIJ6 · pith_short_8: HOEYPXRC

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/HOEYPXRCXXRTGIJ67IA7SVGJ6F \
  | 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: 3b8987de22bde333213efa01f954c9f1535e8ae63b4f15e9c2879327aa845b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b54065b9df93e4aa5332eeedac42d24b46aac2af067f0732fc69391ab6db63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-13T19:11:18Z",
    "title_canon_sha256": "afaaab7fbe9c8d780d68ae420a0ab04ab54d2d198045dd38c13e898714b61fc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04289",
    "kind": "arxiv",
    "version": 3
  }
}