Pith Number

pith:VT5A5X6E

pith:2011:VT5A5X6E27OHSPBHXN6WLX4VNM

not attested not anchored not stored refs pending

Patterns in Sinai's walk

B\'alint Vir\'ag, Dimitris Cheliotis

arxiv:1102.1716 v2 · 2011-02-08 · 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{VT5A5X6E27OHSPBHXN6WLX4VNM}

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	2026-05-18T03:20:59.032595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acfa0edfc4d7dc793c27bb7d65df956b32809da2e272e76573a285e2a64bd4d4

Aliases

arxiv: 1102.1716 · arxiv_version: 1102.1716v2 · doi: 10.48550/arxiv.1102.1716 · pith_short_12: VT5A5X6E27OH · pith_short_16: VT5A5X6E27OHSPBH · pith_short_8: VT5A5X6E

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/VT5A5X6E27OHSPBHXN6WLX4VNM \
  | 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: acfa0edfc4d7dc793c27bb7d65df956b32809da2e272e76573a285e2a64bd4d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e53fd4809afc96a407ed0d777e8bd8a6cade9dd8799ec82046fb3ed049daec1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-08T20:51:32Z",
    "title_canon_sha256": "fb8c0ae1a4df1cf64bf58bedcd3878d04cdc8ae3b61d7eedc6a63b520335c9f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1716",
    "kind": "arxiv",
    "version": 2
  }
}