Pith Number

pith:BTADIZ6N

pith:2015:BTADIZ6NOZ5ROUP7GSZ6RCS5C4

not attested not anchored not stored refs pending

Pattern-avoiding permutations and Brownian excursion, Part II: Fixed points

Christopher Hoffman, Douglas Rizzolo, Erik Slivken

arxiv:1506.04174 v1 · 2015-06-12 · 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{BTADIZ6NOZ5ROUP7GSZ6RCS5C4}

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	2026-05-18T01:49:55.350787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc03467cd767b1751ff34b3e88a5d172c915c4ef4ca16e9c243b338dec80324

Aliases

arxiv: 1506.04174 · arxiv_version: 1506.04174v1 · doi: 10.48550/arxiv.1506.04174 · pith_short_12: BTADIZ6NOZ5R · pith_short_16: BTADIZ6NOZ5ROUP7 · pith_short_8: BTADIZ6N

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/BTADIZ6NOZ5ROUP7GSZ6RCS5C4 \
  | 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: 0cc03467cd767b1751ff34b3e88a5d172c915c4ef4ca16e9c243b338dec80324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d983fd117c62ed6e3445b5477e4201c9f4a4d3624f2d249f5409f30b98788c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-12T20:37:25Z",
    "title_canon_sha256": "61834c00c2d13c012f26db443be5dc78200e79e64cfe70d7ed085a4d9b47ddc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04174",
    "kind": "arxiv",
    "version": 1
  }
}