Pith Number

pith:4B4V2JK4

pith:2010:4B4V2JK4TEYKP5GAMB6UT4DOZJ

not attested not anchored not stored refs pending

On a general many-dimensional excited random walk

Alejandro F. Ram\'irez, Marina Vachkovskaia, Mikhail Menshikov, Serguei Popov

arxiv:1001.1741 v3 · 2010-01-11 · 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{4B4V2JK4TEYKP5GAMB6UT4DOZJ}

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	2026-05-18T03:43:28.802341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0795d255c9930a7f4c0607d49f06eca52e163f698d22919e7519d1445ccc10b

Aliases

arxiv: 1001.1741 · arxiv_version: 1001.1741v3 · doi: 10.48550/arxiv.1001.1741 · pith_short_12: 4B4V2JK4TEYK · pith_short_16: 4B4V2JK4TEYKP5GA · pith_short_8: 4B4V2JK4

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/4B4V2JK4TEYKP5GAMB6UT4DOZJ \
  | 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: e0795d255c9930a7f4c0607d49f06eca52e163f698d22919e7519d1445ccc10b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a0988bcd838137eef0dbdb96b467e402496c65d61ffb19d9305d3a001b4e08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-11T21:09:30Z",
    "title_canon_sha256": "c471f0bfb07aea1bf5c90edf4ce54a9110fa101d103337e9ab3f310c964e31ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1741",
    "kind": "arxiv",
    "version": 3
  }
}