Pith Number

pith:IW4OKEI5

pith:2012:IW4OKEI5BB5UDFU2DDUJQLBVCO

not attested not anchored not stored refs pending

Quasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings

Alessio Pomponio, Antonio Azzollini, Pietro d'Avenia

arxiv:1207.2303 v1 · 2012-07-10 · 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{IW4OKEI5BB5UDFU2DDUJQLBVCO}

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	2026-05-18T03:51:24.450070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b8e5111d087b41969a18e8982c35139fbb005bfe92a45a3d3019f468d7b66f

Aliases

arxiv: 1207.2303 · arxiv_version: 1207.2303v1 · doi: 10.48550/arxiv.1207.2303 · pith_short_12: IW4OKEI5BB5U · pith_short_16: IW4OKEI5BB5UDFU2 · pith_short_8: IW4OKEI5

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/IW4OKEI5BB5UDFU2DDUJQLBVCO \
  | 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: 45b8e5111d087b41969a18e8982c35139fbb005bfe92a45a3d3019f468d7b66f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ed530d0516e33860b0e74a1a13ce3dc87ffde1e1fe50300146cd0d42de92f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-10T10:48:32Z",
    "title_canon_sha256": "a79bdb0d454e2561cccc47f80ca4b384f8426045d95b95f2abba2fefc5a5d065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2303",
    "kind": "arxiv",
    "version": 1
  }
}