Pith Number

pith:J4YHV24P

pith:2014:J4YHV24PA5HVEKMNFZGV6DZOFQ

not attested not anchored not stored refs pending

Liouville-type theorems for polyharmonic H\'enon-Lane-Emden system

Quoc Hung Phan

arxiv:1405.4584 v2 · 2014-05-19 · 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{J4YHV24PA5HVEKMNFZGV6DZOFQ}

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	2026-05-18T02:19:25.600756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f307aeb8f074f52298d2e4d5f0f2e2c3c00bd7689e4cd1d35415542fca9bfda

Aliases

arxiv: 1405.4584 · arxiv_version: 1405.4584v2 · doi: 10.48550/arxiv.1405.4584 · pith_short_12: J4YHV24PA5HV · pith_short_16: J4YHV24PA5HVEKMN · pith_short_8: J4YHV24P

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/J4YHV24PA5HVEKMNFZGV6DZOFQ \
  | 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: 4f307aeb8f074f52298d2e4d5f0f2e2c3c00bd7689e4cd1d35415542fca9bfda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e89b91ebbb1e83e6d5c3ba8918035e616acb68b75adfa80d72fcefaa11519e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-19T03:07:38Z",
    "title_canon_sha256": "3ebe783682440d7f011d077e58008a3b14511c3bc13e28383fdd69253a4630fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4584",
    "kind": "arxiv",
    "version": 2
  }
}