Pith Number

pith:WHZ7OPCM

pith:2009:WHZ7OPCMT5ECQSHAWVEAQR3HUB

not attested not anchored not stored refs pending

Profile of bubbling solutions to a Liouville system

Chang-shou Lin, Lei Zhang

arxiv:0903.0381 v1 · 2009-03-02 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHZ7OPCMT5ECQSHAWVEAQR3HUB}

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	2026-05-18T02:14:37.744260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1f3f73c4c9f482848e0b548084767a064095c1f1c7082c08d42435108059193

Aliases

arxiv: 0903.0381 · arxiv_version: 0903.0381v1 · doi: 10.48550/arxiv.0903.0381 · pith_short_12: WHZ7OPCMT5EC · pith_short_16: WHZ7OPCMT5ECQSHA · pith_short_8: WHZ7OPCM

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/WHZ7OPCMT5ECQSHAWVEAQR3HUB \
  | 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: b1f3f73c4c9f482848e0b548084767a064095c1f1c7082c08d42435108059193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc8f5b22d8f2cbeee25a30cf942c92ea95e38c7bb68176ef0d477f555082df3f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-03-02T21:13:36Z",
    "title_canon_sha256": "395d705d39155e193e8bb9fae9d77016f9d5b132e87e1a1c36eb2df312d0373c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0381",
    "kind": "arxiv",
    "version": 1
  }
}