Pith Number

pith:BQBLRFW7

pith:2010:BQBLRFW7KKLT4GQYRDHKM5TYZS

not attested not anchored not stored refs pending

Global existence vs. blowup for the one dimensional quasilinear Smoluchowski-Poisson system

Philippe Laurencot (IMT), Tomasz Cieslak

arxiv:1002.1279 v1 · 2010-02-05 · 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{BQBLRFW7KKLT4GQYRDHKM5TYZS}

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	2026-07-04T17:21:28.894479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c02b896df52973e1a1888cea67678ccb69935ead2337576b56291cc614d38b4

Aliases

arxiv: 1002.1279 · arxiv_version: 1002.1279v1 · doi: 10.48550/arxiv.1002.1279 · pith_short_12: BQBLRFW7KKLT · pith_short_16: BQBLRFW7KKLT4GQY · pith_short_8: BQBLRFW7

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/BQBLRFW7KKLT4GQYRDHKM5TYZS \
  | 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: 0c02b896df52973e1a1888cea67678ccb69935ead2337576b56291cc614d38b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "301a994f660900322452283ff313e535b87a1be19fb49c83c6429c338f6ccb9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-02-05T19:56:42Z",
    "title_canon_sha256": "a0befc36f3984ceb6f49ffbe42eda99d72995c85db524c324e4f92aab897fbf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1279",
    "kind": "arxiv",
    "version": 1
  }
}