Pith Number

pith:GVQMJYHB

pith:2024:GVQMJYHBFGKV4LFMMR2FGCC6AJ

not attested not anchored not stored refs pending

Brezis-Nirenberg-type results for the anisotropic $p$-Laplacian

Alberto Roncoroni, Eugenio Vecchi, Francesco Esposito, Stefano Biagi

arxiv:2411.16257 v1 · 2024-11-25 · 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{GVQMJYHBFGKV4LFMMR2FGCC6AJ}

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	2026-07-05T09:40:06.819852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3560c4e0e129955e2cac647453085e024839103a5771338722594823d82d9e66

Aliases

arxiv: 2411.16257 · arxiv_version: 2411.16257v1 · doi: 10.48550/arxiv.2411.16257 · pith_short_12: GVQMJYHBFGKV · pith_short_16: GVQMJYHBFGKV4LFM · pith_short_8: GVQMJYHB

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/GVQMJYHBFGKV4LFMMR2FGCC6AJ \
  | 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: 3560c4e0e129955e2cac647453085e024839103a5771338722594823d82d9e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "914541952bea705968ba32611007adebbece1e5f15f243163d84246755eec89d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-25T10:20:04Z",
    "title_canon_sha256": "3e0ff55e6192d0011a66f19cd293954a74e622e44726285b65530b7b2ae70544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16257",
    "kind": "arxiv",
    "version": 1
  }
}