Pith Number

pith:G32Q2B4E

pith:2011:G32Q2B4ELYSXQDDTY3OD3UIRUL

not attested not anchored not stored refs pending

Local structure of self-affine sets

Antti K\"aenm\"aki, Christoph Bandt

arxiv:1104.0088 v2 · 2011-04-01 · 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{G32Q2B4ELYSXQDDTY3OD3UIRUL}

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	2026-05-18T00:51:34.461510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36f50d07845e25780c73c6dc3dd111a2d55747d7d330657a06236d974743b220

Aliases

arxiv: 1104.0088 · arxiv_version: 1104.0088v2 · doi: 10.48550/arxiv.1104.0088 · pith_short_12: G32Q2B4ELYSX · pith_short_16: G32Q2B4ELYSXQDDT · pith_short_8: G32Q2B4E

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/G32Q2B4ELYSXQDDTY3OD3UIRUL \
  | 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: 36f50d07845e25780c73c6dc3dd111a2d55747d7d330657a06236d974743b220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5befe5f73a4f0a0ac00034762e0cb804933a9eb52c177f4841c0f5a97ad97226",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-04-01T06:49:15Z",
    "title_canon_sha256": "2308415763005e0af38331271d9eed5cc08a0b7615cfed7f8cf4dc2026defa4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0088",
    "kind": "arxiv",
    "version": 2
  }
}