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Pith Number

pith:W7SXMDM7

pith:2009:W7SXMDM7KFQDXSG4Y2DXVGPIHX
not attested not anchored not stored refs pending

Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion

Adrien Blanchet (GREMAQ), Philippe Laurencot (IMT)

arxiv:0911.0835 v1 · 2009-11-04 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W7SXMDM7KFQDXSG4Y2DXVGPIHX}

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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 2026-05-18T03:51:36.262449Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b7e5760d9f51603bc8dcc6877a99e83df8df37f7b1f2a25cf34b0b39ae338ddc

Aliases

arxiv: 0911.0835 · arxiv_version: 0911.0835v1 · doi: 10.48550/arxiv.0911.0835 · pith_short_12: W7SXMDM7KFQD · pith_short_16: W7SXMDM7KFQDXSG4 · pith_short_8: W7SXMDM7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W7SXMDM7KFQDXSG4Y2DXVGPIHX \
  | 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: b7e5760d9f51603bc8dcc6877a99e83df8df37f7b1f2a25cf34b0b39ae338ddc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f31716eb225436c3e8fadaa58a8fb83ebc79c95225726a5b04b5ccb328de47ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-11-04T14:37:39Z",
    "title_canon_sha256": "852947ebaf7896d0bb99f2945caa9b40540d793b732ce7ff3d32c0337d1c0620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0835",
    "kind": "arxiv",
    "version": 1
  }
}