Pith Number

pith:FF4MS2ZJ

pith:2012:FF4MS2ZJYFZUDO2OYU3YV4YBUO

not attested not anchored not stored refs pending

H\"older regularity for non divergence form elliptic equations with discontinuous coefficients

Giuseppe Di Fazio, Maria Stella Fanciullo, Pietro Zamboni

arxiv:1210.5164 v1 · 2012-10-18 · 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{FF4MS2ZJYFZUDO2OYU3YV4YBUO}

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	2026-05-18T03:42:53.722877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2978c96b29c17341bb4ec5378af301a3b249bdd53f7cf7c6028cca1d41047fc7

Aliases

arxiv: 1210.5164 · arxiv_version: 1210.5164v1 · doi: 10.48550/arxiv.1210.5164 · pith_short_12: FF4MS2ZJYFZU · pith_short_16: FF4MS2ZJYFZUDO2O · pith_short_8: FF4MS2ZJ

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/FF4MS2ZJYFZUDO2OYU3YV4YBUO \
  | 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: 2978c96b29c17341bb4ec5378af301a3b249bdd53f7cf7c6028cca1d41047fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fde48a04d4542fead6e047c128b13298d83d88a0f18c023c433bd9b57a5640c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-18T16:01:51Z",
    "title_canon_sha256": "86c27f5f88c525b0161b18abd080ee68ab8d2c090965f35b2e216e4e6034a1be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5164",
    "kind": "arxiv",
    "version": 1
  }
}