Pith Number

pith:DCEVQMPY

pith:2016:DCEVQMPY36QZPJ3PHZXBRFNP5T

not attested not anchored not stored refs pending

An elementary proof of Bevan's theorem on the growth of grid classes of permutations

Michael Albert, Vincent Vatter

arxiv:1608.06967 v2 · 2016-08-24 · 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{DCEVQMPY36QZPJ3PHZXBRFNP5T}

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	2026-05-18T00:33:07.111658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18895831f8dfa197a76f3e6e1895afecec11b8d9bcdd855169ddeccdbcc379e8

Aliases

arxiv: 1608.06967 · arxiv_version: 1608.06967v2 · doi: 10.48550/arxiv.1608.06967 · pith_short_12: DCEVQMPY36QZ · pith_short_16: DCEVQMPY36QZPJ3P · pith_short_8: DCEVQMPY

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/DCEVQMPY36QZPJ3PHZXBRFNP5T \
  | 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: 18895831f8dfa197a76f3e6e1895afecec11b8d9bcdd855169ddeccdbcc379e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eef9dc40bf79d1dc8565fca8f06fab349ddb9adbdc759e8413973a46781e9da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-24T20:59:05Z",
    "title_canon_sha256": "7cb2a054ecf47ce8b37fede6bb013803901e5a5b4528a389382447427b8da1d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06967",
    "kind": "arxiv",
    "version": 2
  }
}