Pith Number

pith:3RPIPD3E

pith:2019:3RPIPD3EMR6KDFVTF2BQV2XSHD

not attested not anchored not stored refs pending

Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities

Alberto Farina, Cecilia Cavaterra, Enrico Valdinoci, Serena Dipierro, Zu Gao

arxiv:1903.04569 v1 · 2019-03-11 · 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{3RPIPD3EMR6KDFVTF2BQV2XSHD}

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	2026-05-17T23:51:29.270757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5e878f64647ca196b32e830aeaf238ce679daea33f09ea593176187ef38afa

Aliases

arxiv: 1903.04569 · arxiv_version: 1903.04569v1 · doi: 10.48550/arxiv.1903.04569 · pith_short_12: 3RPIPD3EMR6K · pith_short_16: 3RPIPD3EMR6KDFVT · pith_short_8: 3RPIPD3E

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/3RPIPD3EMR6KDFVTF2BQV2XSHD \
  | 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: dc5e878f64647ca196b32e830aeaf238ce679daea33f09ea593176187ef38afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef0f06b8df492006f5512ac69a8d57ade341a8a56674e5b2a38529be445c859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-11T19:53:38Z",
    "title_canon_sha256": "6e9dc2635c849dc1a46c1251421b50d40b7525a29f464f9c6384eb14af6a0156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04569",
    "kind": "arxiv",
    "version": 1
  }
}