Pith Number

pith:OH3ILOB3

pith:2012:OH3ILOB335DM5Z6LTMSTB2YB7W

not attested not anchored not stored refs pending

Liouville theorems for stable Lane-Emden systems and biharmonic problems

Craig Cowan

arxiv:1207.1081 v3 · 2012-07-04 · 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{OH3ILOB335DM5Z6LTMSTB2YB7W}

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	2026-05-18T03:18:17.171248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71f685b83bdf46cee7cb9b2530eb01fdb892717f23c279ac04963b44c38ecb3a

Aliases

arxiv: 1207.1081 · arxiv_version: 1207.1081v3 · doi: 10.48550/arxiv.1207.1081 · pith_short_12: OH3ILOB335DM · pith_short_16: OH3ILOB335DM5Z6L · pith_short_8: OH3ILOB3

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/OH3ILOB335DM5Z6LTMSTB2YB7W \
  | 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: 71f685b83bdf46cee7cb9b2530eb01fdb892717f23c279ac04963b44c38ecb3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da781660e9133c99339c5e467ccf1a313080bf371104627db15758955ca4bf6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-04T18:55:44Z",
    "title_canon_sha256": "9dc075fd57efca2efb0b27f35b70f86267e128791640ec0e75e121412e556694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1081",
    "kind": "arxiv",
    "version": 3
  }
}