Pith Number

pith:MWCDA44J

pith:2008:MWCDA44J6NSRBI22HVNQZNLYRC

not attested not anchored not stored refs pending

Ballot theorems for random walks with finite variance

B.A. Reed, L. Addario-Berry

arxiv:0802.2491 v2 · 2008-02-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWCDA44J6NSRBI22HVNQZNLYRC}

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.

Cited by

1 paper in Pith

Scaling limit and tail bounds for a random walk model of SOS level lines

Receipt and verification

First computed	2026-07-04T15:09:51.160431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6584307389f36510a35a3d5b0cb578889b4ac9732fe9859900a054481d228f1f

Aliases

arxiv: 0802.2491 · arxiv_version: 0802.2491v2 · doi: 10.48550/arxiv.0802.2491 · pith_short_12: MWCDA44J6NSR · pith_short_16: MWCDA44J6NSRBI22 · pith_short_8: MWCDA44J

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/MWCDA44J6NSRBI22HVNQZNLYRC \
  | 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: 6584307389f36510a35a3d5b0cb578889b4ac9732fe9859900a054481d228f1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e494e819f0fa8487ba6143f7f0d6147d3399cd31fe22567ed3afeb0bef581dcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-02-18T14:18:13Z",
    "title_canon_sha256": "61482892984efcd8bd3b1574b7a77c4f95abfbbddb93dd67190367eda0ecd35e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2491",
    "kind": "arxiv",
    "version": 2
  }
}