Pith Number

pith:JUZI45V4

pith:2011:JUZI45V4BHCR7UJMOUPBTZ5QV7

not attested not anchored not stored refs pending

Ahlfors-Beurling conformal invariant and relative capacity of compact sets

Matti Vuorinen, Vladimir N. Dubinin

arxiv:1112.4245 v4 · 2011-12-19 · math.CV · 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{JUZI45V4BHCR7UJMOUPBTZ5QV7}

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	2026-05-18T03:37:53.177637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d328e76bc09c51fd12c751e19e7b0afd638d49ba19dbfc76a8fd87c37e4ba72

Aliases

arxiv: 1112.4245 · arxiv_version: 1112.4245v4 · doi: 10.48550/arxiv.1112.4245 · pith_short_12: JUZI45V4BHCR · pith_short_16: JUZI45V4BHCR7UJM · pith_short_8: JUZI45V4

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/JUZI45V4BHCR7UJMOUPBTZ5QV7 \
  | 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: 4d328e76bc09c51fd12c751e19e7b0afd638d49ba19dbfc76a8fd87c37e4ba72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1baaa85066cc1b1c5a7317c2b13461c69cc72f56f9fa86ed69eade1b07c796ea",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-12-19T05:44:28Z",
    "title_canon_sha256": "26a275a8787763f5afd53fbbf75f26f97f6faafc9f3fa2c432965632a1be3a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4245",
    "kind": "arxiv",
    "version": 4
  }
}