Pith Number

pith:YZYG4AE4

pith:2010:YZYG4AE4QECPW2TPCCS5TW7N42

not attested not anchored not stored refs pending

Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups

Pertti Mattila, Vasilis Chousionis

arxiv:1012.2281 v3 · 2010-12-10 · math.AP · math.DS · math.FA · 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{YZYG4AE4QECPW2TPCCS5TW7N42}

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	2026-05-18T01:02:21.540375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6706e009c8104fb6a6f10a5d9dbede6a3c5da83023f6a7d5df756db1722a089

Aliases

arxiv: 1012.2281 · arxiv_version: 1012.2281v3 · doi: 10.48550/arxiv.1012.2281 · pith_short_12: YZYG4AE4QECP · pith_short_16: YZYG4AE4QECPW2TP · pith_short_8: YZYG4AE4

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/YZYG4AE4QECPW2TPCCS5TW7N42 \
  | 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: c6706e009c8104fb6a6f10a5d9dbede6a3c5da83023f6a7d5df756db1722a089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e96209593e8e4afa8e22427aaf991d922c500f24dd3ea5b7fcca7d8dff4e8aa",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-10T14:47:39Z",
    "title_canon_sha256": "a283d3307de2b7ec3f294e5533e38fed8f4731015a515b5e06ed91daf0d02350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2281",
    "kind": "arxiv",
    "version": 3
  }
}