Pith Number

pith:U3A45QGL

pith:2008:U3A45QGLEUTKHRKCY5H3TSMHYS

not attested not anchored not stored refs pending

Astala's Conjecture on Distortion of Hausdorff Measures under Quasiconformal Maps in the Plane

Eric T. Sawyer, Ignacio Uriarte-Tuero, Michael T. Lacey

arxiv:0805.4711 v3 · 2008-05-30 · math.CV · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3A45QGLEUTKHRKCY5H3TSMHYS}

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	2026-05-18T03:56:23.106472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6c1cec0cb2526a3c542c74fb9c987c4bf287995d46b2eee229d25e5460a3bbc

Aliases

arxiv: 0805.4711 · arxiv_version: 0805.4711v3 · doi: 10.48550/arxiv.0805.4711 · pith_short_12: U3A45QGLEUTK · pith_short_16: U3A45QGLEUTKHRKC · pith_short_8: U3A45QGL

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/U3A45QGLEUTKHRKCY5H3TSMHYS \
  | 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: a6c1cec0cb2526a3c542c74fb9c987c4bf287995d46b2eee229d25e5460a3bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "208b35e6c4082652dbc4b2d7cdccd9cda2adea688dda837960e3fe4684be92e2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-05-30T10:04:36Z",
    "title_canon_sha256": "9e176a9e7de1eaf908acf1da281725d0e8a7f81124d4f0717ab3a6df0ebc6e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.4711",
    "kind": "arxiv",
    "version": 3
  }
}