Pith Number

pith:2WRQSRPU

pith:2009:2WRQSRPUNXV7MOOLIMHF7YWWRR

not attested not anchored not stored refs pending

Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis

Jean Dolbeault (CEREMADE), Lucilla Corrias (DP), Piotr Biler

arxiv:0908.4493 v1 · 2009-08-31 · 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{2WRQSRPUNXV7MOOLIMHF7YWWRR}

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	2026-05-18T04:06:08.277154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5a30945f46debf639cb430e5fe2d68c6fb04baca1211d5f8437d55c989f114f

Aliases

arxiv: 0908.4493 · arxiv_version: 0908.4493v1 · doi: 10.48550/arxiv.0908.4493 · pith_short_12: 2WRQSRPUNXV7 · pith_short_16: 2WRQSRPUNXV7MOOL · pith_short_8: 2WRQSRPU

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/2WRQSRPUNXV7MOOLIMHF7YWWRR \
  | 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: d5a30945f46debf639cb430e5fe2d68c6fb04baca1211d5f8437d55c989f114f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77db3d94618f12bd93ea86af2031866353e917c826ab66ed3f71af517c4b5c22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-08-31T09:52:41Z",
    "title_canon_sha256": "29c5d67dac004528f4096f7c0da43f438907f9a82baf535ee85c19d0e8b86baa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4493",
    "kind": "arxiv",
    "version": 1
  }
}