Pith Number

pith:3RI4LO6A

pith:2015:3RI4LO6AJOXZUB55R54ZCT5YVZ

not attested not anchored not stored refs pending

Densities of short uniform random walks in higher dimensions

Armin Straub, Christophe Vignat, Jonathan M. Borwein

arxiv:1508.04729 v1 · 2015-08-19 · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RI4LO6AJOXZUB55R54ZCT5YVZ}

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	2026-05-18T01:35:01.969829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc51c5bbc04baf9a07bd8f79914fb8ae65bd3f7e9123fa413a9b44dfe6e7795e

Aliases

arxiv: 1508.04729 · arxiv_version: 1508.04729v1 · doi: 10.48550/arxiv.1508.04729 · pith_short_12: 3RI4LO6AJOXZ · pith_short_16: 3RI4LO6AJOXZUB55 · pith_short_8: 3RI4LO6A

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/3RI4LO6AJOXZUB55R54ZCT5YVZ \
  | 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: dc51c5bbc04baf9a07bd8f79914fb8ae65bd3f7e9123fa413a9b44dfe6e7795e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd5340011858b6f0cc2e11f829905885950ed3b1ed474e9c6241bb2ba3d26da5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-19T18:17:12Z",
    "title_canon_sha256": "9b3272304cbc41071b4abf437ab287b82c153bce824ba8c478f4e523775b38d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04729",
    "kind": "arxiv",
    "version": 1
  }
}