Pith Number

pith:5CSOYIXH

pith:2021:5CSOYIXHEP7YOROHPQEL5LYJTV

not attested not anchored not stored refs pending

The existence of solutions for nonlinear elliptic equations: Simple proofs and extensions of a paper by Y. Shi

Fenfen Wang, Rafael de la Llave, Xiaodan Xu

arxiv:2108.01293 v1 · 2021-08-03 · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CSOYIXHEP7YOROHPQEL5LYJTV}

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	2026-07-05T03:03:01.266382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8a4ec22e723ff8745c77c08beaf099d79d429b4f1097016a27c2fba3237192f

Aliases

arxiv: 2108.01293 · arxiv_version: 2108.01293v1 · doi: 10.48550/arxiv.2108.01293 · pith_short_12: 5CSOYIXHEP7Y · pith_short_16: 5CSOYIXHEP7YOROH · pith_short_8: 5CSOYIXH

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/5CSOYIXHEP7YOROHPQEL5LYJTV \
  | 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: e8a4ec22e723ff8745c77c08beaf099d79d429b4f1097016a27c2fba3237192f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b2ba95bf2ba68fa48d09c2f3c6798f7bd8bfcb98f7867442a1d55ed2bd8eb6",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-08-03T04:47:21Z",
    "title_canon_sha256": "be793ba4ed0cde49b54dad8039f79ddc9ed741623db687ad84efda35d0f1254c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.01293",
    "kind": "arxiv",
    "version": 1
  }
}