Pith Number

pith:PGFCMNKW

pith:2003:PGFCMNKWLFIFDGX7FRHMO3OX5K

not attested not anchored not stored refs pending

Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains

Vitali Liskevich, Vitaly Moroz, Vladimir Kondratiev

arxiv:math/0307144 v2 · 2003-07-10 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGFCMNKWLFIFDGX7FRHMO3OX5K}

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	2026-05-18T00:09:31.839848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798a2635565950519aff2c4ec76dd7eabfd11a2ab1bbdadb94488374502d24a5

Aliases

arxiv: math/0307144 · arxiv_version: math/0307144v2 · doi: 10.48550/arxiv.math/0307144 · pith_short_12: PGFCMNKWLFIF · pith_short_16: PGFCMNKWLFIFDGX7 · pith_short_8: PGFCMNKW

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/PGFCMNKWLFIFDGX7FRHMO3OX5K \
  | 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: 798a2635565950519aff2c4ec76dd7eabfd11a2ab1bbdadb94488374502d24a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92ca287047656320342e2a268e61493ebdb784870e5aec8da23f4b107e1d35f6",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2003-07-10T10:47:12Z",
    "title_canon_sha256": "6a24f6a84397a25eb536f783de7dc433d5f8abcb0b4b7caffc3bcda2167a854f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307144",
    "kind": "arxiv",
    "version": 2
  }
}