Pith Number

pith:DHYTU4S6

pith:2011:DHYTU4S6JURNX4KZMLKLMOT6AL

not attested not anchored not stored refs pending

Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions

Christian Stinner, Tomasz Cie\'slak

arxiv:1112.6202 v1 · 2011-12-28 · 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{DHYTU4S6JURNX4KZMLKLMOT6AL}

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	2026-05-18T03:59:36.421530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f13a725e4d22dbf15962d4b63a7e02c2e0f1dd0c1879db4f35f92360a6e351

Aliases

arxiv: 1112.6202 · arxiv_version: 1112.6202v1 · doi: 10.48550/arxiv.1112.6202 · pith_short_12: DHYTU4S6JURN · pith_short_16: DHYTU4S6JURNX4KZ · pith_short_8: DHYTU4S6

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/DHYTU4S6JURNX4KZMLKLMOT6AL \
  | 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: 19f13a725e4d22dbf15962d4b63a7e02c2e0f1dd0c1879db4f35f92360a6e351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db5a9d4d74e38783e602e779839cc34a2b4963e6ffc79712ca0d03734f88b624",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-28T23:23:28Z",
    "title_canon_sha256": "8ac45fd2d5b41e7352abbd19fbf190cf72b74ae2f02fb3b252ce5da6c5d589c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6202",
    "kind": "arxiv",
    "version": 1
  }
}