Pith Number

pith:Q5PXJ27E

pith:2011:Q5PXJ27EKF4OH3QQOQTY623MV2

not attested not anchored not stored refs pending

Approximation up to the boundary of homeomorphisms of finite Dirichlet energy

Jani Onninen, Leonid V. Kovalev, Tadeusz Iwaniec

arxiv:1108.0199 v2 · 2011-07-31 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5PXJ27EKF4OH3QQOQTY623MV2}

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	2026-05-18T03:34:03.599206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875f74ebe45178e3ee1074278f6b6cae881bb3548687b34b8c791e887e2fb07d

Aliases

arxiv: 1108.0199 · arxiv_version: 1108.0199v2 · doi: 10.48550/arxiv.1108.0199 · pith_short_12: Q5PXJ27EKF4O · pith_short_16: Q5PXJ27EKF4OH3QQ · pith_short_8: Q5PXJ27E

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/Q5PXJ27EKF4OH3QQOQTY623MV2 \
  | 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: 875f74ebe45178e3ee1074278f6b6cae881bb3548687b34b8c791e887e2fb07d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a310393eb09cfc861ae731300b7071fa8f8dc2cfc9a9e38bd0e3ec0b4058f33b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-07-31T19:35:00Z",
    "title_canon_sha256": "792fd75ed28b62561acc0fcfcc54ba7e43264e3c4bce5630d9ad53eb5d70c19d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0199",
    "kind": "arxiv",
    "version": 2
  }
}