Pith Number

pith:GNR7PYAD

pith:2015:GNR7PYADDXCL4ZYPXED33MHOKB

not attested not anchored not stored refs pending

Existence and concentration of solution for a class of fractional elliptic equation in $\mathbb{R}^N$ via penalization method

Claudianor O. Alves, Olimpio H. Miyagaki

arxiv:1508.03964 v1 · 2015-08-17 · 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{GNR7PYADDXCL4ZYPXED33MHOKB}

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	2026-05-18T01:35:13.241023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3363f7e0031dc4be670fb907bdb0ee507a727aeb83f25b9a3c5c17f49771260e

Aliases

arxiv: 1508.03964 · arxiv_version: 1508.03964v1 · doi: 10.48550/arxiv.1508.03964 · pith_short_12: GNR7PYADDXCL · pith_short_16: GNR7PYADDXCL4ZYP · pith_short_8: GNR7PYAD

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/GNR7PYADDXCL4ZYPXED33MHOKB \
  | 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: 3363f7e0031dc4be670fb907bdb0ee507a727aeb83f25b9a3c5c17f49771260e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cbd047d7982bc6d507f30fed49d27997abbe3196b3cfa4ba125e4bf620dafd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-17T10:04:41Z",
    "title_canon_sha256": "0dc593b81643e3ce829f179f9f538fddeafa93a8899915c1478c7df9673e6215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03964",
    "kind": "arxiv",
    "version": 1
  }
}