Pith Number

pith:WPEWC4D5

pith:2010:WPEWC4D5OJJUY4EPXEO53CUVG4

not attested not anchored not stored refs pending

Some locally self-interacting walks on the integers

Anna Erschler, Balint Toth, Wendelin Werner

arxiv:1011.1102 v1 · 2010-11-04 · 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{WPEWC4D5OJJUY4EPXEO53CUVG4}

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	2026-05-18T00:40:16.756710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c961707d72534c708fb91ddd8a95370574e07f411d14b698bb349a419bf072

Aliases

arxiv: 1011.1102 · arxiv_version: 1011.1102v1 · doi: 10.48550/arxiv.1011.1102 · pith_short_12: WPEWC4D5OJJU · pith_short_16: WPEWC4D5OJJUY4EP · pith_short_8: WPEWC4D5

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/WPEWC4D5OJJUY4EPXEO53CUVG4 \
  | 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: b3c961707d72534c708fb91ddd8a95370574e07f411d14b698bb349a419bf072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cb9994d6442718af8a5d2fa319551c31cdd996599599b3696ad488dee73b28a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-04T10:28:17Z",
    "title_canon_sha256": "4996e2646596ae28b04241dfce7171af24437087bd2c03d3d1568c6c2cd0138f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1102",
    "kind": "arxiv",
    "version": 1
  }
}