Pith Number

pith:PC2XK3FG

pith:2015:PC2XK3FGOHWIZRPL2XWTFJYVCE

not attested not anchored not stored refs pending

Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term

Antonio Vitolo, Giulio Galise, Olivier Ley (IRMAR), Shigeaki Koike

arxiv:1506.06994 v1 · 2015-06-23 · 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{PC2XK3FGOHWIZRPL2XWTFJYVCE}

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	2026-05-18T01:40:55.371072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b5756ca671ec8cc5ebd5ed32a715111dfd14b4d4e9224b5d830376b7656ebd

Aliases

arxiv: 1506.06994 · arxiv_version: 1506.06994v1 · doi: 10.48550/arxiv.1506.06994 · pith_short_12: PC2XK3FGOHWI · pith_short_16: PC2XK3FGOHWIZRPL · pith_short_8: PC2XK3FG

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/PC2XK3FGOHWIZRPL2XWTFJYVCE \
  | 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: 78b5756ca671ec8cc5ebd5ed32a715111dfd14b4d4e9224b5d830376b7656ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92b1400b1f025ecd0b45db063429551e0ad7b656ac469eaac7d6067ff1c2a414",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-23T13:46:26Z",
    "title_canon_sha256": "12806b4196496283c186a39d855c968594050e9653ec12b229351d8a4d831b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06994",
    "kind": "arxiv",
    "version": 1
  }
}