Pith Number

pith:RLTUU4FO

pith:2011:RLTUU4FOSPNWGOWDO3ZIRJXT4A

not attested not anchored not stored refs pending

A priori bounds for weak solutions to elliptic equations with nonstandard growth

Patrick Winkert, Rico Zacher

arxiv:1102.1646 v3 · 2011-02-08 · 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{RLTUU4FOSPNWGOWDO3ZIRJXT4A}

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	2026-05-18T01:31:19.417501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ae74a70ae93db633ac376f288a6f3e00613d114b2b76b64b0e6483e06a993c6

Aliases

arxiv: 1102.1646 · arxiv_version: 1102.1646v3 · doi: 10.48550/arxiv.1102.1646 · pith_short_12: RLTUU4FOSPNW · pith_short_16: RLTUU4FOSPNWGOWD · pith_short_8: RLTUU4FO

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/RLTUU4FOSPNWGOWDO3ZIRJXT4A \
  | 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: 8ae74a70ae93db633ac376f288a6f3e00613d114b2b76b64b0e6483e06a993c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae4126c39ebeb6c8328ea34c1884477e7b9236573f28cd6f1dbfe8d5283aa30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-08T16:32:37Z",
    "title_canon_sha256": "fc3abc7c5117840e9d3341fbb029ffd0ff6451cd5231c60a2651513c7eb87094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1646",
    "kind": "arxiv",
    "version": 3
  }
}