Pith Number

pith:24PVEZGG

pith:2018:24PVEZGGIIERU3DBT3AJMNLMFL

not attested not anchored not stored refs pending

Dimension drop for harmonic measure on Ahlfors regular boundaries

Jonas Azzam

arxiv:1811.03769 v3 · 2018-11-09 · math.CA · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24PVEZGGIIERU3DBT3AJMNLMFL}

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	2026-05-17T23:42:26.570903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d71f5264c642091a6c619ec096356c2ae5f21c947437b55fc7b55ac13784b097

Aliases

arxiv: 1811.03769 · arxiv_version: 1811.03769v3 · doi: 10.48550/arxiv.1811.03769 · pith_short_12: 24PVEZGGIIER · pith_short_16: 24PVEZGGIIERU3DB · pith_short_8: 24PVEZGG

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/24PVEZGGIIERU3DBT3AJMNLMFL \
  | 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: d71f5264c642091a6c619ec096356c2ae5f21c947437b55fc7b55ac13784b097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b2bc599b3892ce1bdad268ddca5b59c78185853ee15580ca26cc538116dc08",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-09T04:19:36Z",
    "title_canon_sha256": "26387e4429b4fb905c296c861401952d97a3fa018eda6112914e8168f98eda37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03769",
    "kind": "arxiv",
    "version": 3
  }
}