Pith Number

pith:TH6GS7OZ

pith:2019:TH6GS7OZ3H5KTZ3YKOR5FJQTBO

not attested not anchored not stored refs pending

Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces

Abdelmoujib Benkirane, Elhoussine Azroul, Mohammed Srati

arxiv:1908.07806 v2 · 2019-08-21 · 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{TH6GS7OZ3H5KTZ3YKOR5FJQTBO}

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	2026-07-05T00:52:15.743152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99fc697dd9d9faa9e77853a3d2a6130bab66fd029514f3b4a3bcff5a9fc5f918

Aliases

arxiv: 1908.07806 · arxiv_version: 1908.07806v2 · doi: 10.48550/arxiv.1908.07806 · pith_short_12: TH6GS7OZ3H5K · pith_short_16: TH6GS7OZ3H5KTZ3Y · pith_short_8: TH6GS7OZ

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/TH6GS7OZ3H5KTZ3YKOR5FJQTBO \
  | 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: 99fc697dd9d9faa9e77853a3d2a6130bab66fd029514f3b4a3bcff5a9fc5f918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2932b5116f57e7bade653530cd5dd63877faff1ad935bdb116ca4bb9341442fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-21T11:49:20Z",
    "title_canon_sha256": "2cd1353baa3dc1bf89c9f8c7d946af51ef94544e5637bad333a0a972c9aa7d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07806",
    "kind": "arxiv",
    "version": 2
  }
}