Pith Number

pith:RCRZ3QVR

pith:2008:RCRZ3QVRYAXWSTDY5R4FCD6SE4

not attested not anchored not stored refs pending

Laplacians on the basilica Julia set

Alexander Teplyaev, Luke G. Rogers

arxiv:0802.3248 v3 · 2008-02-22 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCRZ3QVRYAXWSTDY5R4FCD6SE4}

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	2026-05-18T00:12:11.919570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88a39dc2b1c02f694c78ec78510fd2271101325cf8a557fb0a2ed94f70423b06

Aliases

arxiv: 0802.3248 · arxiv_version: 0802.3248v3 · doi: 10.48550/arxiv.0802.3248 · pith_short_12: RCRZ3QVRYAXW · pith_short_16: RCRZ3QVRYAXWSTDY · pith_short_8: RCRZ3QVR

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/RCRZ3QVRYAXWSTDY5R4FCD6SE4 \
  | 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: 88a39dc2b1c02f694c78ec78510fd2271101325cf8a557fb0a2ed94f70423b06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c3e3ee73750509243198d98dbc70826cd47959adf343b33a817bae8d9acf6f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-02-22T03:28:15Z",
    "title_canon_sha256": "5c36073782bd5c0b1da732020c07c27ea5d40af3540d4ec3e938fbb1f7b3a5e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3248",
    "kind": "arxiv",
    "version": 3
  }
}