Pith Number

pith:LYXH46BO

pith:2016:LYXH46BOV5FBLG6QIMVIKAFFFM

not attested not anchored not stored refs pending

Growth rates of permutation classes: from countable to uncountable

Vincent Vatter

arxiv:1605.04297 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{LYXH46BOV5FBLG6QIMVIKAFFFM}

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	2026-05-17T23:48:47.958960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e2e7e782eaf4a159bd0432a8500a52b1a31582ac3d1802b77f95ffe9262bdfd

Aliases

arxiv: 1605.04297 · arxiv_version: 1605.04297v3 · doi: 10.48550/arxiv.1605.04297 · pith_short_12: LYXH46BOV5FB · pith_short_16: LYXH46BOV5FBLG6Q · pith_short_8: LYXH46BO

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/LYXH46BOV5FBLG6QIMVIKAFFFM \
  | 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: 5e2e7e782eaf4a159bd0432a8500a52b1a31582ac3d1802b77f95ffe9262bdfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf6780cb1291474cf21ea701b67b63d7b10135d0d896a834b907a4af099bbca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-13T19:31:47Z",
    "title_canon_sha256": "b8394a33590c5e7ad6c957767bb141d98f64d4147dde91785e53a1211f2e514f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04297",
    "kind": "arxiv",
    "version": 3
  }
}