Pith Number

pith:D7QZ6ND3

pith:2016:D7QZ6ND3T5NZRXCXWGDZMDPSAO

not attested not anchored not stored refs pending

A multidimensional analogue of the arcsine law for the number of positive terms in a random walk

Dmitry Zaporozhets, Vladislav Vysotsky, Zakhar Kabluchko

arxiv:1610.02861 v3 · 2016-10-10 · math.PR · math.CO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7QZ6ND3T5NZRXCXWGDZMDPSAO}

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	2026-05-18T00:37:48.255161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe19f347b9f5b98dc57b187960df203be03a26103a051e95e5ec01d3a7d82de

Aliases

arxiv: 1610.02861 · arxiv_version: 1610.02861v3 · doi: 10.48550/arxiv.1610.02861 · pith_short_12: D7QZ6ND3T5NZ · pith_short_16: D7QZ6ND3T5NZRXCX · pith_short_8: D7QZ6ND3

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/D7QZ6ND3T5NZRXCXWGDZMDPSAO \
  | 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: 1fe19f347b9f5b98dc57b187960df203be03a26103a051e95e5ec01d3a7d82de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a68e9cbdbcdfb56cc3f0316601d4fe7a3d7c993db2aedc4efc03139cf6e2773",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-10T11:46:17Z",
    "title_canon_sha256": "404fae2c21d9bd3461b68b8b8e35509a42767c2dc08b521f193717f8ab497dd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02861",
    "kind": "arxiv",
    "version": 3
  }
}