Pith Number

pith:HMKSZZZN

pith:2011:HMKSZZZNRM3TPXEF2L74C752ER

not attested not anchored not stored refs pending

On the Liouville type theorem for stationary compressible Navier-Stokes-Poisson equations in $\Bbb R^N$

Dongho Chae

arxiv:1106.1515 v2 · 2011-06-08 · 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{HMKSZZZNRM3TPXEF2L74C752ER}

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	2026-05-18T04:19:42.863578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b152ce72d8b3737dc85d2ffc17fba244566ff98fa9f92b16ca176fdb94dab14

Aliases

arxiv: 1106.1515 · arxiv_version: 1106.1515v2 · doi: 10.48550/arxiv.1106.1515 · pith_short_12: HMKSZZZNRM3T · pith_short_16: HMKSZZZNRM3TPXEF · pith_short_8: HMKSZZZN

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/HMKSZZZNRM3TPXEF2L74C752ER \
  | 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: 3b152ce72d8b3737dc85d2ffc17fba244566ff98fa9f92b16ca176fdb94dab14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c15b133260c4154455733fdb8e25194005a3f744d4c5dd50f2b64490a28169c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-08T08:07:41Z",
    "title_canon_sha256": "7430d8ee07bfe8b5d767202093dc8d8551395e36a9462f1e52fe29e3ecea654b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1515",
    "kind": "arxiv",
    "version": 2
  }
}