Pith Number

pith:RW5VSKIH

pith:2012:RW5VSKIHE2HPVPDQCRX4F3XCPM

not attested not anchored not stored refs pending

The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $\RR^d$, $d \ge 3$

Adrien Blanchet (GREMAQ), Philippe Lauren\c{c}ot (IMT)

arxiv:1203.3573 v1 · 2012-03-15 · 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{RW5VSKIHE2HPVPDQCRX4F3XCPM}

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	2026-05-18T03:59:59.651757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dbb592907268efabc70146fc2eee27b24bc99cf8cbaafb041c28185f0670b58

Aliases

arxiv: 1203.3573 · arxiv_version: 1203.3573v1 · doi: 10.48550/arxiv.1203.3573 · pith_short_12: RW5VSKIHE2HP · pith_short_16: RW5VSKIHE2HPVPDQ · pith_short_8: RW5VSKIH

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/RW5VSKIHE2HPVPDQCRX4F3XCPM \
  | 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: 8dbb592907268efabc70146fc2eee27b24bc99cf8cbaafb041c28185f0670b58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb1cfea64e8f3f169054bd66ec3f1dfdaab0440a0fd6e99e382fac67d0ef945",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-15T21:22:39Z",
    "title_canon_sha256": "cf491035ddaacfb123fc47bed94fe714b6171317dfe86baca0d5819acb9db453"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3573",
    "kind": "arxiv",
    "version": 1
  }
}