Pith Number

pith:3CVI3YJ5

pith:2010:3CVI3YJ5KGPBE5FW3FFK5NE6XD

not attested not anchored not stored refs pending

Random Walk in Periodic Environment

Balint Veto, Istvan Redl

arxiv:1010.4137 v1 · 2010-10-20 · 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{3CVI3YJ5KGPBE5FW3FFK5NE6XD}

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	2026-05-18T04:38:59.765028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8aa8de13d519e1274b6d94aaeb49eb8f03b5a2a15fc6065c395d5cc68a36d52

Aliases

arxiv: 1010.4137 · arxiv_version: 1010.4137v1 · doi: 10.48550/arxiv.1010.4137 · pith_short_12: 3CVI3YJ5KGPB · pith_short_16: 3CVI3YJ5KGPBE5FW · pith_short_8: 3CVI3YJ5

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/3CVI3YJ5KGPBE5FW3FFK5NE6XD \
  | 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: d8aa8de13d519e1274b6d94aaeb49eb8f03b5a2a15fc6065c395d5cc68a36d52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af616616f9f073d79f8ffb0393d6439b86ec48d8766b3cd0bfddc12ef9f08232",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-20T09:13:10Z",
    "title_canon_sha256": "f6f6505fe179af8fe89c6c43f894ed41019c1cc93ff4ddfbb8e5740f51ef84c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4137",
    "kind": "arxiv",
    "version": 1
  }
}