Pith Number

pith:ERAA3XDB

pith:2012:ERAA3XDBIXEI3LUGDSCFB4JXLO

not attested not anchored not stored refs pending

On the pure critical exponent problem for the $p$-Laplacian

Carlo Mercuri, Filomena Pacella

arxiv:1206.4341 v2 · 2012-06-19 · 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{ERAA3XDBIXEI3LUGDSCFB4JXLO}

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	2026-05-18T03:35:54.060132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24400ddc6145c88dae861c8450f1375b889903d1dc23fc0559a8f3afbee03f7f

Aliases

arxiv: 1206.4341 · arxiv_version: 1206.4341v2 · doi: 10.48550/arxiv.1206.4341 · pith_short_12: ERAA3XDBIXEI · pith_short_16: ERAA3XDBIXEI3LUG · pith_short_8: ERAA3XDB

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/ERAA3XDBIXEI3LUGDSCFB4JXLO \
  | 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: 24400ddc6145c88dae861c8450f1375b889903d1dc23fc0559a8f3afbee03f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b44778fa6f58cee21dcbedf24647ad611e6cf34c485713a353186146a6f7a85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-19T21:10:32Z",
    "title_canon_sha256": "ccdf7f1b51c1a2f6f000eb67979dc21935d20f09d5671037540c7fc0c8b5f844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4341",
    "kind": "arxiv",
    "version": 2
  }
}