Pith Number

pith:GZ3IO5ON

pith:2016:GZ3IO5ONEBIZPNJFUBBJRNT76A

not attested not anchored not stored refs pending

Caccioppoli--type estimates and Hardy--type inequalities derived from degenerated $p$--harmonic problems

Agnieszka Ka{\l}amajska, Iwona Skrzypczak, Pavel Dr\'abek

arxiv:1605.05552 v1 · 2016-05-18 · 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{GZ3IO5ONEBIZPNJFUBBJRNT76A}

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	2026-05-18T01:14:34.619739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36768775cd205197b525a04298b67ff03f1f79273bc46d90d0fa2dae63e14b39

Aliases

arxiv: 1605.05552 · arxiv_version: 1605.05552v1 · doi: 10.48550/arxiv.1605.05552 · pith_short_12: GZ3IO5ONEBIZ · pith_short_16: GZ3IO5ONEBIZPNJF · pith_short_8: GZ3IO5ON

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/GZ3IO5ONEBIZPNJFUBBJRNT76A \
  | 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: 36768775cd205197b525a04298b67ff03f1f79273bc46d90d0fa2dae63e14b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c67695cbcf0d72bc5f310f61a47f46feaf89a2b6ee775f99e81eab4f7d4b3dbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-18T12:35:04Z",
    "title_canon_sha256": "f9f22c469d7f4d1f6748774e86821c0a2513be8b077bc84df846b35b9f97fc97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05552",
    "kind": "arxiv",
    "version": 1
  }
}