Pith Number

pith:4D3YOAPZ

pith:2013:4D3YOAPZF3XUWSSSXE53YYXNLB

not attested not anchored not stored refs pending

On the quantization for self-affine measures on Bedford-McMullen carpets

Marc Kesseb\"ohmer, Sanguo Zhu

arxiv:1312.3289 v1 · 2013-12-11 · math.MG · 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{4D3YOAPZF3XUWSSSXE53YYXNLB}

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	2026-05-18T00:33:33.071859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f78701f92eef4b4a52b93bbc62ed586bd0c020135fd47ff0af2c8e725b8108

Aliases

arxiv: 1312.3289 · arxiv_version: 1312.3289v1 · doi: 10.48550/arxiv.1312.3289 · pith_short_12: 4D3YOAPZF3XU · pith_short_16: 4D3YOAPZF3XUWSSS · pith_short_8: 4D3YOAPZ

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/4D3YOAPZF3XUWSSSXE53YYXNLB \
  | 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: e0f78701f92eef4b4a52b93bbc62ed586bd0c020135fd47ff0af2c8e725b8108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e155c414c5ed399d00367c3cc8a41596d3ae57c059a194ff479b1f241959f4e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-11T19:27:27Z",
    "title_canon_sha256": "120df8b0270ba6d013e94cd91861d64e62fed41609eca1f57a6880b76091e223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3289",
    "kind": "arxiv",
    "version": 1
  }
}