Pith Number

pith:VZBX5TMI

pith:2011:VZBX5TMIFCL3J4H5TIEEGPDFVO

not attested not anchored not stored refs pending

Regularity of solutions to degenerate $p$-Laplacian equations

David Cruz-Uribe, Kabe Moen, Virginia Naibo

arxiv:1110.3295 v3 · 2011-10-14 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZBX5TMIFCL3J4H5TIEEGPDFVO}

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	2026-05-18T03:38:46.331609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae437ecd882897b4f0fd9a08433c65aba1d0a87e7756bd93b61837455af93fe3

Aliases

arxiv: 1110.3295 · arxiv_version: 1110.3295v3 · doi: 10.48550/arxiv.1110.3295 · pith_short_12: VZBX5TMIFCL3 · pith_short_16: VZBX5TMIFCL3J4H5 · pith_short_8: VZBX5TMI

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/VZBX5TMIFCL3J4H5TIEEGPDFVO \
  | 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: ae437ecd882897b4f0fd9a08433c65aba1d0a87e7756bd93b61837455af93fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4c493f996afb5f52b975bec4d12e4292425a04e78e42b914d7f7074379caa2",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-14T18:44:56Z",
    "title_canon_sha256": "4fb6be331f1281428232739164d345c83fb2ec29fb42ceb36cc61f6bb09c3548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3295",
    "kind": "arxiv",
    "version": 3
  }
}