Pith Number

pith:ISEXZOQY

pith:2011:ISEXZOQY65DCXEGNTFVN7D6U7L

not attested not anchored not stored refs pending

Random walks in cones

Denis Denisov, Vitali Wachtel

arxiv:1110.1254 v3 · 2011-10-06 · 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{ISEXZOQY65DCXEGNTFVN7D6U7L}

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	2026-05-18T01:58:38.558393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44897cba18f7462b90cd996adf8fd4faefd9efb6a3e92c4881eed7bd642fa1c7

Aliases

arxiv: 1110.1254 · arxiv_version: 1110.1254v3 · doi: 10.48550/arxiv.1110.1254 · pith_short_12: ISEXZOQY65DC · pith_short_16: ISEXZOQY65DCXEGN · pith_short_8: ISEXZOQY

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/ISEXZOQY65DCXEGNTFVN7D6U7L \
  | 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: 44897cba18f7462b90cd996adf8fd4faefd9efb6a3e92c4881eed7bd642fa1c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bf38ef08c5516beed1359467fb3c0c8a9fd62141ced313d0e0515dcf336a484",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-06T13:26:19Z",
    "title_canon_sha256": "b3965cef68e952196d1dc04fff4fc6723fc02ee5e7e39fa1e454d7c2ce847374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1254",
    "kind": "arxiv",
    "version": 3
  }
}