Pith Number

pith:KYFFIBYZ

pith:2005:KYFFIBYZBBMTX7YKXHYEA6WNTI

not attested not anchored not stored refs pending

Positive solutions to singular semilinear elliptic equations with critical potential on cone-like domains

Sofya Lyakhova, Vitali Liskevich, Vitaly Moroz

arxiv:math/0501025 v1 · 2005-01-02 · 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{KYFFIBYZBBMTX7YKXHYEA6WNTI}

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	2026-05-18T00:09:31.815988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560a54071908593bff0ab9f0407acd9a3f42d0a6dd2bd66df36452d8d7054a2d

Aliases

arxiv: math/0501025 · arxiv_version: math/0501025v1 · doi: 10.48550/arxiv.math/0501025 · pith_short_12: KYFFIBYZBBMT · pith_short_16: KYFFIBYZBBMTX7YK · pith_short_8: KYFFIBYZ

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/KYFFIBYZBBMTX7YKXHYEA6WNTI \
  | 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: 560a54071908593bff0ab9f0407acd9a3f42d0a6dd2bd66df36452d8d7054a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9653e1339442799dc12f191f81c4a3559d3193bc003656cd7b00879b3c6292e0",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-01-02T19:58:17Z",
    "title_canon_sha256": "2fdf20cca84b0ec0d71bf2e8a8274fa946b768963345a3b57d25ff666ebee073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501025",
    "kind": "arxiv",
    "version": 1
  }
}