Pith Number

pith:UWM64DON

pith:2009:UWM64DONOLI5A23KJVFKOMIXKL

not attested not anchored not stored refs pending

Large solutions to semilinear elliptic equations with Hardy potential and exponential nonlinearity

Catherine Bandle, Vitaly Moroz, Wolfgang Reichel

arxiv:0904.2072 v2 · 2009-04-14 · 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{UWM64DONOLI5A23KJVFKOMIXKL}

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	2026-05-18T00:09:37.110134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a599ee0dcd72d1d06b6a4d4aa7311752e5c1f7949a1543fd0775a0908df001b1

Aliases

arxiv: 0904.2072 · arxiv_version: 0904.2072v2 · doi: 10.48550/arxiv.0904.2072 · pith_short_12: UWM64DONOLI5 · pith_short_16: UWM64DONOLI5A23K · pith_short_8: UWM64DON

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/UWM64DONOLI5A23KJVFKOMIXKL \
  | 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: a599ee0dcd72d1d06b6a4d4aa7311752e5c1f7949a1543fd0775a0908df001b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1693ad0e36a30444232420b5acda6f27fb4f1d5f4015fc068b756d446ca2b1d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-14T08:43:31Z",
    "title_canon_sha256": "626fc9013821c051f40e1c7eed105396bd567e957bfd3c646c088071b7b6cbe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2072",
    "kind": "arxiv",
    "version": 2
  }
}