Pith Number

pith:3BFUSWEV

pith:2014:3BFUSWEVFX6CQXJCHFQF2WWC62

not attested not anchored not stored refs pending

Pattern-avoiding permutations and Brownian excursion Part I: Shapes and fluctuations

Christopher Hoffman, Douglas Rizzolo, Erik Slivken

arxiv:1406.5156 v2 · 2014-06-19 · math.PR · 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{3BFUSWEVFX6CQXJCHFQF2WWC62}

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	2026-05-18T01:49:56.023101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d84b4958952dfc285d2239605d5ac2f6bf040472b01293a7af0137a45d779542

Aliases

arxiv: 1406.5156 · arxiv_version: 1406.5156v2 · doi: 10.48550/arxiv.1406.5156 · pith_short_12: 3BFUSWEVFX6C · pith_short_16: 3BFUSWEVFX6CQXJC · pith_short_8: 3BFUSWEV

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/3BFUSWEVFX6CQXJCHFQF2WWC62 \
  | 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: d84b4958952dfc285d2239605d5ac2f6bf040472b01293a7af0137a45d779542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7957b28578ac89e9b483647df14ea21d691c4bb49941732d67602f4fc2123e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-19T19:09:04Z",
    "title_canon_sha256": "4726c4b15d972cabc7dbc0ece543a7b479f4a6d06fb30ff87eeb7206b2e4bbcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5156",
    "kind": "arxiv",
    "version": 2
  }
}