Pith Number

pith:4E5RAPZL

pith:2018:4E5RAPZLDP55KBTDTF7MAQBY4V

not attested not anchored not stored refs pending

Fractional Elliptic problem with Finite many critical Hardy--Sobolev Exponents

Haibo Chen, Yu Su

arxiv:1805.10124 v1 · 2018-05-21 · 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{4E5RAPZLDP55KBTDTF7MAQBY4V}

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	2026-05-18T00:14:58.218752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e13b103f2b1bfbd50663997ec04038e56c5079ba9571dc6384cd562c34fdbc77

Aliases

arxiv: 1805.10124 · arxiv_version: 1805.10124v1 · doi: 10.48550/arxiv.1805.10124 · pith_short_12: 4E5RAPZLDP55 · pith_short_16: 4E5RAPZLDP55KBTD · pith_short_8: 4E5RAPZL

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/4E5RAPZLDP55KBTDTF7MAQBY4V \
  | 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: e13b103f2b1bfbd50663997ec04038e56c5079ba9571dc6384cd562c34fdbc77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d477e6aab0caa997773ec36ac09d726fc0d6f3a77bd08a676a745e6377820430",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-21T17:44:01Z",
    "title_canon_sha256": "9146d15b8146aeccd28d7ce590b270ba1125a40d306f91bf7c6f0ab2b67998b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10124",
    "kind": "arxiv",
    "version": 1
  }
}