Pith Number

pith:VE4Z25LW

pith:2011:VE4Z25LWNPRWG4JIP6YH4GJXYC

not attested not anchored not stored refs pending

Describing West-3-stack-sortable permutations with permutation patterns

Henning \'Ulfarsson

arxiv:1110.1219 v3 · 2011-10-06 · 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{VE4Z25LWNPRWG4JIP6YH4GJXYC}

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	2026-05-18T04:00:26.551897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9399d75766be36371287fb07e1937c0a91281686573aa712b8cffe92f9e6230

Aliases

arxiv: 1110.1219 · arxiv_version: 1110.1219v3 · doi: 10.48550/arxiv.1110.1219 · pith_short_12: VE4Z25LWNPRW · pith_short_16: VE4Z25LWNPRWG4JI · pith_short_8: VE4Z25LW

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/VE4Z25LWNPRWG4JIP6YH4GJXYC \
  | 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: a9399d75766be36371287fb07e1937c0a91281686573aa712b8cffe92f9e6230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f5af51e9d204ff82ac3a0ea449538c515e7670ea55c3be5b0e6230f13d48e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-06T10:49:56Z",
    "title_canon_sha256": "51981f46341604c6da69b703aa637c08bf1b572db6255e2c421a2ce44adcf424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1219",
    "kind": "arxiv",
    "version": 3
  }
}