Pith Number

pith:UL6SJP6C

pith:2011:UL6SJP6CXKDRAQLAPEBRDKMNSZ

not attested not anchored not stored refs pending

Explicit subsolutions and a Liouville theorem for fully nonlinear uniformly elliptic inequalities in halfspaces

Fabiana Leoni

arxiv:1111.1083 v2 · 2011-11-04 · 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{UL6SJP6CXKDRAQLAPEBRDKMNSZ}

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	2026-05-18T04:06:56.503503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2fd24bfc2ba87104160790311a98d967b2073e7bb796088d284f73d500a414b

Aliases

arxiv: 1111.1083 · arxiv_version: 1111.1083v2 · doi: 10.48550/arxiv.1111.1083 · pith_short_12: UL6SJP6CXKDR · pith_short_16: UL6SJP6CXKDRAQLA · pith_short_8: UL6SJP6C

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/UL6SJP6CXKDRAQLAPEBRDKMNSZ \
  | 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: a2fd24bfc2ba87104160790311a98d967b2073e7bb796088d284f73d500a414b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a60e29658f910a83ab7cf55394406e0c275db154cc84623706eddd378c16a8c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-04T10:20:37Z",
    "title_canon_sha256": "dc98e9ef93c0e1e19b33ea516688503036b205e2cabb31715a3b35f9acef002c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1083",
    "kind": "arxiv",
    "version": 2
  }
}