Pith Number

pith:2CGDKZKK

pith:2019:2CGDKZKKNAJJLPDS2CAAZMSWDI

not attested not anchored not stored refs pending

Sobolev versus H\"older minimizers for the degenerate fractional $p$-Laplacian

Antonio Iannizzotto, Marco Squassina, Sunra Mosconi

arxiv:1907.08814 v1 · 2019-07-20 · 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{2CGDKZKKNAJJLPDS2CAAZMSWDI}

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	2026-05-17T23:40:05.283920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d08c35654a681295bc72d0800cb2561a2439c400fa8c4527e6a9e7234de607ef

Aliases

arxiv: 1907.08814 · arxiv_version: 1907.08814v1 · doi: 10.48550/arxiv.1907.08814 · pith_short_12: 2CGDKZKKNAJJ · pith_short_16: 2CGDKZKKNAJJLPDS · pith_short_8: 2CGDKZKK

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/2CGDKZKKNAJJLPDS2CAAZMSWDI \
  | 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: d08c35654a681295bc72d0800cb2561a2439c400fa8c4527e6a9e7234de607ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26c55293dba5ec30899f91dd6345dbdc5633f0de062051983bd7bd285d0c234",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-20T13:52:36Z",
    "title_canon_sha256": "6957bba3469f7f31105071054bf3fcf8778e9d51c4a25d717a41bafde4968672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08814",
    "kind": "arxiv",
    "version": 1
  }
}