Pith Number

pith:LGWEEY3Y

pith:2014:LGWEEY3YB5WYNM7JYIPNESSXRY

not attested not anchored not stored refs pending

Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations

Hai-Liang Li, Mingying Zhong, Tong Yang

arxiv:1411.5470 v1 · 2014-11-20 · 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{LGWEEY3YB5WYNM7JYIPNESSXRY}

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	2026-05-18T02:33:24.575159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59ac4263780f6d86b3e9c21ed24a578e38f415469c9e0d4a0aa845d3e69d07e0

Aliases

arxiv: 1411.5470 · arxiv_version: 1411.5470v1 · doi: 10.48550/arxiv.1411.5470 · pith_short_12: LGWEEY3YB5WY · pith_short_16: LGWEEY3YB5WYNM7J · pith_short_8: LGWEEY3Y

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/LGWEEY3YB5WYNM7JYIPNESSXRY \
  | 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: 59ac4263780f6d86b3e9c21ed24a578e38f415469c9e0d4a0aa845d3e69d07e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0a95a932dffa92faa35c4ec7f3beac77eabcd258b4293c84f22da4da5b0a14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-20T08:37:54Z",
    "title_canon_sha256": "443fb244687f241f7352b3b9d74a287d1c62f1bb65758b3e5ac1cff607e7be29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5470",
    "kind": "arxiv",
    "version": 1
  }
}