Pith Number

pith:5WPGRVAK

pith:2014:5WPGRVAKJUTOSOA4XKYMHTN73L

not attested not anchored not stored refs pending

On the equality of Hausdorff measure and Hausdorff content

\'Abel Farkas, Jonathan M. Fraser

arxiv:1411.0867 v3 · 2014-11-04 · math.MG · 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{5WPGRVAKJUTOSOA4XKYMHTN73L}

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	2026-05-18T01:12:58.709788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed9e68d40a4d26e9381cbab0c3cdbfdac74c8f23c6fa4630040cf89ecca67df7

Aliases

arxiv: 1411.0867 · arxiv_version: 1411.0867v3 · doi: 10.48550/arxiv.1411.0867 · pith_short_12: 5WPGRVAKJUTO · pith_short_16: 5WPGRVAKJUTOSOA4 · pith_short_8: 5WPGRVAK

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/5WPGRVAKJUTOSOA4XKYMHTN73L \
  | 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: ed9e68d40a4d26e9381cbab0c3cdbfdac74c8f23c6fa4630040cf89ecca67df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d6259147a271e1a9f433a7a9fad1c9591698615e1e5a09a4c665f3e78b815c",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-11-04T11:52:17Z",
    "title_canon_sha256": "176fce54c28dcbcb2f90edeb7da201e5d469f6b87739eb20749de215d326d0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0867",
    "kind": "arxiv",
    "version": 3
  }
}