Pith Number

pith:3AU2MWIO

pith:2012:3AU2MWIOBOHUX4G6IFSNP4HXAB

not attested not anchored not stored refs pending

Qusisymmetric dimension distortion of Ahlfors regular subsets of a metric space

Christopher J. Bishop, Hrant Hakobyan, Marshall Williams

arxiv:1211.0233 v3 · 2012-11-01 · math.CV · 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{3AU2MWIOBOHUX4G6IFSNP4HXAB}

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	2026-05-18T01:19:39.144052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d829a6590e0b8f4bf0de4164d7f0f7007022052bd97c40767ca5adbcf8dd73b1

Aliases

arxiv: 1211.0233 · arxiv_version: 1211.0233v3 · doi: 10.48550/arxiv.1211.0233 · pith_short_12: 3AU2MWIOBOHU · pith_short_16: 3AU2MWIOBOHUX4G6 · pith_short_8: 3AU2MWIO

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/3AU2MWIOBOHUX4G6IFSNP4HXAB \
  | 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: d829a6590e0b8f4bf0de4164d7f0f7007022052bd97c40767ca5adbcf8dd73b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ce01931fd7a0d8a143184f615b9eb001ea8b366f8a72a55b6b996c47759ee8",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-11-01T17:23:35Z",
    "title_canon_sha256": "476652f45ef70ff0b9ae5947324540bd8f1486a6456676d58b7d0f5be8f2362e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0233",
    "kind": "arxiv",
    "version": 3
  }
}