Pith Number

pith:ZHWJCQXY

pith:2009:ZHWJCQXYWC3FTHX4HNTD7NHJPN

not attested not anchored not stored refs pending

Optimal Time Decay of the Vlasov-Poisson-Boltzmann System in ${\mathbb{R}}^3$

Renjun Duan, Robert M. Strain

arxiv:0912.1742 v1 · 2009-12-09 · 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{ZHWJCQXYWC3FTHX4HNTD7NHJPN}

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	2026-05-18T04:25:11.474894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ec9142f8b0b6599efc3b663fb4e97b4b9ad6323f64f867a9813553f9ad881f

Aliases

arxiv: 0912.1742 · arxiv_version: 0912.1742v1 · doi: 10.48550/arxiv.0912.1742 · pith_short_12: ZHWJCQXYWC3F · pith_short_16: ZHWJCQXYWC3FTHX4 · pith_short_8: ZHWJCQXY

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/ZHWJCQXYWC3FTHX4HNTD7NHJPN \
  | 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: c9ec9142f8b0b6599efc3b663fb4e97b4b9ad6323f64f867a9813553f9ad881f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3beebffa09a140edfe595e67d97faf6c2d57cdd1f54cd8e8c302a169295cba6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-12-09T13:17:13Z",
    "title_canon_sha256": "1b8a20dd4554e17f41f54659e5eed8b02dacb0f56c44d30e5c6219fb42ce743d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1742",
    "kind": "arxiv",
    "version": 1
  }
}