Pith Number

pith:Y4EUH5VP

pith:2014:Y4EUH5VP3ZHCUNMKLPDGGIJZRR

not attested not anchored not stored refs pending

Indefinite fractional elliptic problem and Liouville theorems

Jiuyi Zhu, Wenxiong Chen

arxiv:1404.1640 v1 · 2014-04-07 · 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{Y4EUH5VP3ZHCUNMKLPDGGIJZRR}

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	2026-05-18T02:54:45.866353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70943f6afde4e2a358a5bc66321398c5967513f1761e18f0eb93dc17b94cabe

Aliases

arxiv: 1404.1640 · arxiv_version: 1404.1640v1 · doi: 10.48550/arxiv.1404.1640 · pith_short_12: Y4EUH5VP3ZHC · pith_short_16: Y4EUH5VP3ZHCUNMK · pith_short_8: Y4EUH5VP

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/Y4EUH5VP3ZHCUNMKLPDGGIJZRR \
  | 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: c70943f6afde4e2a358a5bc66321398c5967513f1761e18f0eb93dc17b94cabe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc9f09785aee7d91cdbf98fd6d2fa32ca3eee93a197dd0a51c05af77e7d8345",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-07T01:03:21Z",
    "title_canon_sha256": "997f503258c0a31ba5077762e858f72eab7be8c07fbcd6b429e571fd53275a76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1640",
    "kind": "arxiv",
    "version": 1
  }
}