Pith Number

pith:USO5PHRA

pith:2012:USO5PHRASQ7LIT3CV6O46ECZY4

not attested not anchored not stored refs pending

A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian

Andrea Pinamonti, Serena Dipierro

arxiv:1211.2622 v4 · 2012-11-12 · 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{USO5PHRASQ7LIT3CV6O46ECZY4}

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	2026-05-18T03:28:05.409502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a49dd79e20943eb44f62af9dcf1059c72a307dd615362c03a08fa992dc1533f5

Aliases

arxiv: 1211.2622 · arxiv_version: 1211.2622v4 · doi: 10.48550/arxiv.1211.2622 · pith_short_12: USO5PHRASQ7L · pith_short_16: USO5PHRASQ7LIT3C · pith_short_8: USO5PHRA

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/USO5PHRASQ7LIT3CV6O46ECZY4 \
  | 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: a49dd79e20943eb44f62af9dcf1059c72a307dd615362c03a08fa992dc1533f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36eefe205a29f572752d4ef75b942619eb98c610cea7e35a5560f0c86c40bc86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-12T14:07:52Z",
    "title_canon_sha256": "8ec75a02027429f8eed7e86efe0df36a8fa13540b5be63b08a7d51330bb8f473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2622",
    "kind": "arxiv",
    "version": 4
  }
}