Pith Number

pith:3FUWHDM4

pith:2008:3FUWHDM4DOBRCKQ6UUFMIZOFVA

not attested not anchored not stored refs pending

Optimal decay rate of the compressible Navier-Stokes-Poisson system in R^3

A. Matsumura, Guojing Zhang, Hai-Liang Li

arxiv:0811.3788 v1 · 2008-11-24 · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FUWHDM4DOBRCKQ6UUFMIZOFVA}

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	2026-05-18T02:15:13.431846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d969638d9c1b83112a1ea50ac465c5a839bc3a55a5dec970b49a63d4eb7e98f8

Aliases

arxiv: 0811.3788 · arxiv_version: 0811.3788v1 · doi: 10.48550/arxiv.0811.3788 · pith_short_12: 3FUWHDM4DOBR · pith_short_16: 3FUWHDM4DOBRCKQ6 · pith_short_8: 3FUWHDM4

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/3FUWHDM4DOBRCKQ6UUFMIZOFVA \
  | 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: d969638d9c1b83112a1ea50ac465c5a839bc3a55a5dec970b49a63d4eb7e98f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56185ae6ad3869264fda75db1c238714a828f9aebfa6545e60ebce4649026d2f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-11-24T01:43:30Z",
    "title_canon_sha256": "15616a2195cc584e5eb17fada6bf0fa0658e05f9e52cfa46e9f6dd1250370968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3788",
    "kind": "arxiv",
    "version": 1
  }
}