Pith Number

pith:3APB4FE3

pith:2014:3APB4FE3XLHBWNWIHLQ6TJTSRH

not attested not anchored not stored refs pending

Global bifurcation for fractional $p$-Laplacian and application

Alexander Quaas, Leandro M. Del Pezzo

arxiv:1412.4722 v2 · 2014-12-15 · 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{3APB4FE3XLHBWNWIHLQ6TJTSRH}

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	2026-05-18T01:02:14.056264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81e1e149bbace1b36c83ae1e9a67289e35b3174783cc7452223c91d3df4035e

Aliases

arxiv: 1412.4722 · arxiv_version: 1412.4722v2 · doi: 10.48550/arxiv.1412.4722 · pith_short_12: 3APB4FE3XLHB · pith_short_16: 3APB4FE3XLHBWNWI · pith_short_8: 3APB4FE3

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/3APB4FE3XLHBWNWIHLQ6TJTSRH \
  | 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: d81e1e149bbace1b36c83ae1e9a67289e35b3174783cc7452223c91d3df4035e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7254c69fee9da924deef5dbfc027d67d869dcfeb618dc6218039a8689ae58e64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-15T19:02:15Z",
    "title_canon_sha256": "96b15bda65491b03db84a6dc73b84c1fc0117a856367ad8b1183a6375f172b20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4722",
    "kind": "arxiv",
    "version": 2
  }
}