Pith Number

pith:LQ72R7LL

pith:2017:LQ72R7LLYAJNOZ57FDHBJCFRGL

not attested not anchored not stored refs pending

On the conformal dimension of product measures

David Bate, Tuomas Orponen

arxiv:1704.07215 v2 · 2017-04-24 · math.CA · 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{LQ72R7LLYAJNOZ57FDHBJCFRGL}

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	2026-05-18T00:08:31.535717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c3fa8fd6bc012d767bf28ce1488b132eac57008a359fcc280c3586afbcd7363

Aliases

arxiv: 1704.07215 · arxiv_version: 1704.07215v2 · doi: 10.48550/arxiv.1704.07215 · pith_short_12: LQ72R7LLYAJN · pith_short_16: LQ72R7LLYAJNOZ57 · pith_short_8: LQ72R7LL

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/LQ72R7LLYAJNOZ57FDHBJCFRGL \
  | 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: 5c3fa8fd6bc012d767bf28ce1488b132eac57008a359fcc280c3586afbcd7363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137a2dd5bde368bdada4d6b5bf7719da50d1ae38ec7bbc2ffaa4933c0020ff46",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-04-24T13:34:38Z",
    "title_canon_sha256": "8378be14e55377bee787020940cb756d538e681bae49e7102155438217ea6392"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07215",
    "kind": "arxiv",
    "version": 2
  }
}