Pith Number

pith:ZT5ZX66T

pith:2008:ZT5ZX66TVVA32CJBC2WYQDS4PP

not attested not anchored not stored refs pending

Brownian motion on the Sierpinski carpet

Alexander Teplyaev, Martin T. Barlow, Richard F. Bass, Takashi Kumagai

arxiv:0812.1802 v2 · 2008-12-09 · 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{ZT5ZX66TVVA32CJBC2WYQDS4PP}

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	2026-05-18T00:12:11.911359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccfb9bfbd3ad41bd092116ad880e5c7bd67c7bc04621bf45872159f9b48c542f

Aliases

arxiv: 0812.1802 · arxiv_version: 0812.1802v2 · doi: 10.48550/arxiv.0812.1802 · pith_short_12: ZT5ZX66TVVA3 · pith_short_16: ZT5ZX66TVVA32CJB · pith_short_8: ZT5ZX66T

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/ZT5ZX66TVVA32CJBC2WYQDS4PP \
  | 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: ccfb9bfbd3ad41bd092116ad880e5c7bd67c7bc04621bf45872159f9b48c542f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb1b76e3fe9ddc138c30736894406663ae1a17fed00febba2ae939bcb213251",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-12-09T21:13:38Z",
    "title_canon_sha256": "40f166e3f0f4c35b059c53aeb23543f50052c59e390f7f71e6237584177cd71b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1802",
    "kind": "arxiv",
    "version": 2
  }
}