Pith Number

pith:UH225DGF

pith:2013:UH225DGF2GU4TFFIOLI27TIVSF

not attested not anchored not stored refs pending

Classification of Radial Solutions to Liouville Systems with Singularities

Chang-shou Lin, Lei Zhang

arxiv:1302.3866 v1 · 2013-02-15 · 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{UH225DGF2GU4TFFIOLI27TIVSF}

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	2026-05-18T03:33:27.188208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f5ae8cc5d1a9c994a872d1afcd1591414d421b25fce12a2697e24cf727194a

Aliases

arxiv: 1302.3866 · arxiv_version: 1302.3866v1 · doi: 10.48550/arxiv.1302.3866 · pith_short_12: UH225DGF2GU4 · pith_short_16: UH225DGF2GU4TFFI · pith_short_8: UH225DGF

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/UH225DGF2GU4TFFIOLI27TIVSF \
  | 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: a1f5ae8cc5d1a9c994a872d1afcd1591414d421b25fce12a2697e24cf727194a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c692f22924ea02a7c6dfae53b8c09bd16e3398b26a7bb41d964198a68f38f8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-15T20:25:07Z",
    "title_canon_sha256": "d1d93db3b92f649c35df880325060125be730d344cefb8207459eea3eb3c9b34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3866",
    "kind": "arxiv",
    "version": 1
  }
}