Pith Number

pith:JVZZFACY

pith:2018:JVZZFACYKULIDXMPHSZC4WDDLC

not attested not anchored not stored refs pending

Interior gradient and Hessian estimates for the Dirichlet problem of semi-linear degenerate elliptic systems: a probabilistic approach

Bingjie Wu, Jun Dai, Shanjian Tang

arxiv:1807.11769 v1 · 2018-07-31 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVZZFACYKULIDXMPHSZC4WDDLC}

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	2026-05-18T00:09:21.140764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d73928058551681dd8f3cb22e586358b8f884fb6d943d90a65af2f0951e3936

Aliases

arxiv: 1807.11769 · arxiv_version: 1807.11769v1 · doi: 10.48550/arxiv.1807.11769 · pith_short_12: JVZZFACYKULI · pith_short_16: JVZZFACYKULIDXMP · pith_short_8: JVZZFACY

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/JVZZFACYKULIDXMPHSZC4WDDLC \
  | 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: 4d73928058551681dd8f3cb22e586358b8f884fb6d943d90a65af2f0951e3936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74db5f38ec5e8fa693640a426025e012a539714f7501ca6d6c22b6fa6cd7d3f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-31T11:49:50Z",
    "title_canon_sha256": "862cd86bd3c71cc80473c1e8a703ef29dad36f458d894e5ce1e47cdf66835f2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11769",
    "kind": "arxiv",
    "version": 1
  }
}