Pith Number

pith:5I2WZ3WP

pith:2012:5I2WZ3WPDI2XRBCN4IRUMWD4LH

not attested not anchored not stored refs pending

Loop-erased random walk on the Sierpinski gasket

Kumiko Hattori, Michiaki Mizuno

arxiv:1209.4959 v1 · 2012-09-22 · 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{5I2WZ3WPDI2XRBCN4IRUMWD4LH}

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	2026-05-18T03:44:59.584840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea356ceecf1a3578844de22346587c59c762c7fb6c2ca443d6d70701ec519f95

Aliases

arxiv: 1209.4959 · arxiv_version: 1209.4959v1 · doi: 10.48550/arxiv.1209.4959 · pith_short_12: 5I2WZ3WPDI2X · pith_short_16: 5I2WZ3WPDI2XRBCN · pith_short_8: 5I2WZ3WP

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/5I2WZ3WPDI2XRBCN4IRUMWD4LH \
  | 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: ea356ceecf1a3578844de22346587c59c762c7fb6c2ca443d6d70701ec519f95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5218218cfc0f3a17aa91ab73418502867d610685f7b51b99085499579b314c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-22T04:31:08Z",
    "title_canon_sha256": "90acc73cca484a4a72543af99eb0144eed57898ffaf97a11da3932b3bf4df4f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4959",
    "kind": "arxiv",
    "version": 1
  }
}