Pith Number

pith:FZ2WPV52

pith:2011:FZ2WPV52WVKFORBCGKCXPTT6EO

not attested not anchored not stored refs pending

A Liouville theorem for a fourth order H\'enon equation

Craig Cowan

arxiv:1110.2246 v1 · 2011-10-11 · 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{FZ2WPV52WVKFORBCGKCXPTT6EO}

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	2026-05-18T04:11:17.242214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7567d7bab554574422328577ce7e23923b3198be53bdab75476df473148374

Aliases

arxiv: 1110.2246 · arxiv_version: 1110.2246v1 · doi: 10.48550/arxiv.1110.2246 · pith_short_12: FZ2WPV52WVKF · pith_short_16: FZ2WPV52WVKFORBC · pith_short_8: FZ2WPV52

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/FZ2WPV52WVKFORBCGKCXPTT6EO \
  | 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: 2e7567d7bab554574422328577ce7e23923b3198be53bdab75476df473148374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a83e4bf102082e730e73141f0b9951aa6c5543e27a9723ecaab1b0680a26ed9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-11T01:32:25Z",
    "title_canon_sha256": "443e72ee2bcf430d4301cfec445b7b2be66c70cd8f744c98c7ceb69b8be744eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2246",
    "kind": "arxiv",
    "version": 1
  }
}