Pith Number

pith:I5WMI6WX

pith:2011:I5WMI6WXV4ZC3BNAR6SC4FC47V

not attested not anchored not stored refs pending

$H^2$ regularity for the $p(x)-$Laplacian in two-dimensional convex domains

Leandro M. Del Pezzo, Sandra Martinez

arxiv:1107.3136 v2 · 2011-07-15 · 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{I5WMI6WXV4ZC3BNAR6SC4FC47V}

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	2026-05-18T03:07:11.208234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

476cc47ad7af322d85a08fa42e145cfd734cfbbd1f60138b767b21176f0f5f63

Aliases

arxiv: 1107.3136 · arxiv_version: 1107.3136v2 · doi: 10.48550/arxiv.1107.3136 · pith_short_12: I5WMI6WXV4ZC · pith_short_16: I5WMI6WXV4ZC3BNA · pith_short_8: I5WMI6WX

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/I5WMI6WXV4ZC3BNAR6SC4FC47V \
  | 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: 476cc47ad7af322d85a08fa42e145cfd734cfbbd1f60138b767b21176f0f5f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4121234412246286de61efeab4525f42b22df22f3e6e95ea57fc7887c2968d39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-15T19:34:32Z",
    "title_canon_sha256": "3fc7195b1c589a6d6d1b3fa7ab2c7d383c71e078f77625f42d251748e94ab358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3136",
    "kind": "arxiv",
    "version": 2
  }
}