Pith Number

pith:TPUPVODM

pith:2015:TPUPVODMNYR5VCRHN7E3M7WLIU

not attested not anchored not stored refs pending

Stability of steady states of the Navier-Stokes-Poisson equations with non-flat doping profile

Yanjin Wang, Yong Wang, Zhong Tan

arxiv:1506.02199 v1 · 2015-06-06 · 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{TPUPVODMNYR5VCRHN7E3M7WLIU}

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	2026-05-18T01:55:51.868139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be8fab86c6e23da8a276fc9b67ecb4501f1dbaa17320d6d2a590efae468553f

Aliases

arxiv: 1506.02199 · arxiv_version: 1506.02199v1 · doi: 10.48550/arxiv.1506.02199 · pith_short_12: TPUPVODMNYR5 · pith_short_16: TPUPVODMNYR5VCRH · pith_short_8: TPUPVODM

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/TPUPVODMNYR5VCRHN7E3M7WLIU \
  | 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: 9be8fab86c6e23da8a276fc9b67ecb4501f1dbaa17320d6d2a590efae468553f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07874d427dbdc3becdfcd95ae69e0117312c26f7daf341743db445a291843170",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-06T22:20:08Z",
    "title_canon_sha256": "263ce0884efaa5987b3cabe19507e08b9f0894be771e464b55ba977c9b9a27d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02199",
    "kind": "arxiv",
    "version": 1
  }
}