Pith Number

pith:DCVY6NFD

pith:2018:DCVY6NFDHBY7QIZ3ZZINJQAZWK

not attested not anchored not stored refs pending

Distributions of Statistics over Pattern-Avoiding Permutations

Jacob Roth, Lara Pudwell, Michael Bukata, Nicholas Lewandowski, Ryan Kulwicki, Teresa Wheeland

arxiv:1812.07112 v3 · 2018-12-18 · 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{DCVY6NFDHBY7QIZ3ZZINJQAZWK}

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	2026-05-17T23:39:55.572399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18ab8f34a33871f8233bce50d4c019b2a4447147aa7fff388b8cdc9492bf671f

Aliases

arxiv: 1812.07112 · arxiv_version: 1812.07112v3 · doi: 10.48550/arxiv.1812.07112 · pith_short_12: DCVY6NFDHBY7 · pith_short_16: DCVY6NFDHBY7QIZ3 · pith_short_8: DCVY6NFD

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/DCVY6NFDHBY7QIZ3ZZINJQAZWK \
  | 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: 18ab8f34a33871f8233bce50d4c019b2a4447147aa7fff388b8cdc9492bf671f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25e93e82ccd643352126278b0507c9d5d1077c8069e7dc21de380820b0e4f2a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-18T00:15:11Z",
    "title_canon_sha256": "ccf1018198111b95608fdb59724b0f507b5a031e114512a803a9c3d181f1f731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07112",
    "kind": "arxiv",
    "version": 3
  }
}