Pith Number

pith:EDXYAYML

pith:2010:EDXYAYMLJXXUBJL6DS7T2JNFSX

not attested not anchored not stored refs pending

Harnack inequality and regularity for degenerate quasilinear elliptic equations

Giuseppe Di Fazio, Maria Stella Fanciullo, Piero Zamboni

arxiv:1010.0322 v1 · 2010-10-02 · 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{EDXYAYMLJXXUBJL6DS7T2JNFSX}

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	2026-05-18T04:39:58.638157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20ef80618b4def40a57e1cbf3d25a595feb19cebd305b7ad09659376e7376597

Aliases

arxiv: 1010.0322 · arxiv_version: 1010.0322v1 · doi: 10.48550/arxiv.1010.0322 · pith_short_12: EDXYAYMLJXXU · pith_short_16: EDXYAYMLJXXUBJL6 · pith_short_8: EDXYAYML

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/EDXYAYMLJXXUBJL6DS7T2JNFSX \
  | 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: 20ef80618b4def40a57e1cbf3d25a595feb19cebd305b7ad09659376e7376597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f8b6d192ec5f341ae63eb2ce0bfde859fafdc750a985253e07e678c69fb06d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-02T10:40:55Z",
    "title_canon_sha256": "6093c90baee06d5abe68e76f60c7ab9741695b1591fe4990cbd1d894de5c4584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0322",
    "kind": "arxiv",
    "version": 1
  }
}