Pith Number

pith:NN3CXR3I

pith:2014:NN3CXR3IBNEGLA6KX7ZS2YG3SO

not attested not anchored not stored refs pending

A Liouville theorem for subcritical Lane-Emden system

Congming Li, Genggeng Huang, Ze Cheng

arxiv:1412.7275 v3 · 2014-12-23 · 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{NN3CXR3IBNEGLA6KX7ZS2YG3SO}

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	2026-05-18T01:20:06.587123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b762bc7680b486583cabff32d60db93bb3fc41d92e5cba1104d62c1d0b1c634

Aliases

arxiv: 1412.7275 · arxiv_version: 1412.7275v3 · doi: 10.48550/arxiv.1412.7275 · pith_short_12: NN3CXR3IBNEG · pith_short_16: NN3CXR3IBNEGLA6K · pith_short_8: NN3CXR3I

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/NN3CXR3IBNEGLA6KX7ZS2YG3SO \
  | 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: 6b762bc7680b486583cabff32d60db93bb3fc41d92e5cba1104d62c1d0b1c634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d36b628a3c54ddae2af260ec3944fefd2dda2335bdad890dbed4c2842d8e82c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-23T07:37:55Z",
    "title_canon_sha256": "868923fda319695c8649c6e5248d45ff9eaaff4d427a47b4684f62a7236aab0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7275",
    "kind": "arxiv",
    "version": 3
  }
}