Pith Number

pith:RRIACY2A

pith:2003:RRIACY2A2JIKLUZS363QITQI2W

not attested not anchored not stored refs pending

Calculus on the Sierpinski Gasket I: Polynomials, Exponentials and Power Series

Alexander Teplyaev, Jonathan Needleman, Robert S. Strichartz

arxiv:math/0312027 v1 · 2003-12-01 · math.CA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRIACY2A2JIKLUZS363QITQI2W}

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	2026-05-18T00:12:07.024731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c50016340d250a5d332dfb7044e08d5bf973813e456b1673f3f8a7a29224a8d

Aliases

arxiv: math/0312027 · arxiv_version: math/0312027v1 · doi: 10.48550/arxiv.math/0312027 · pith_short_12: RRIACY2A2JIK · pith_short_16: RRIACY2A2JIKLUZS · pith_short_8: RRIACY2A

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/RRIACY2A2JIKLUZS363QITQI2W \
  | 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: 8c50016340d250a5d332dfb7044e08d5bf973813e456b1673f3f8a7a29224a8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e74b639af22169b0306910b8ddd4fbede6c1a61010e0a47a5aa29564d2804ef",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2003-12-01T13:35:05Z",
    "title_canon_sha256": "1a8d57c1e3899f57edbc3a45eefbf0c7023a65a8d61e5a5fca7da6d6b8f4b384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312027",
    "kind": "arxiv",
    "version": 1
  }
}