Pith Number

pith:IMGVCPQG

pith:2011:IMGVCPQGIHRP6CZ42THO2XU22B

not attested not anchored not stored refs pending

Does the fully parabolic quasilinear 1D Keller-Segel system enjoy long-time asymptotics analogous to its parabolic-elliptic simplification?

Cristian Morales-Rodrigo, Jan Burczak, Tomasz Cie\'slak

arxiv:1111.1580 v2 · 2011-11-07 · math.AP · math-ph · 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{IMGVCPQGIHRP6CZ42THO2XU22B}

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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	2026-05-18T03:41:58.889774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430d513e0641e2ff0b3cd4ceed5e9ad075cddaa33c23c62830a4cafa2a10e7a9

Aliases

arxiv: 1111.1580 · arxiv_version: 1111.1580v2 · doi: 10.48550/arxiv.1111.1580 · pith_short_12: IMGVCPQGIHRP · pith_short_16: IMGVCPQGIHRP6CZ4 · pith_short_8: IMGVCPQG

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/IMGVCPQGIHRP6CZ42THO2XU22B \
  | 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: 430d513e0641e2ff0b3cd4ceed5e9ad075cddaa33c23c62830a4cafa2a10e7a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f64a908fd7285915488492f173468dc8e1c93deb30a0ddb83bcc3dd23a82efbd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-07T13:59:12Z",
    "title_canon_sha256": "faddba900c5d94ef313ce7771de5b74d1495300a32588a18e79489dd37bc9862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1580",
    "kind": "arxiv",
    "version": 2
  }
}