Pith Number

pith:M7PX26KZ

pith:2012:M7PX26KZ6TAP7IBDLIJC2CUKIA

not attested not anchored not stored refs pending

Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2

Christian Stinner, Tomasz Cie\'slak

arxiv:1201.3270 v1 · 2012-01-16 · 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{M7PX26KZ6TAP7IBDLIJC2CUKIA}

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	2026-05-18T02:55:27.901411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67df7d7959f4c0ffa0235a122d0a8a402c8d1314f327950d2f9ce5b7b3ec8d94

Aliases

arxiv: 1201.3270 · arxiv_version: 1201.3270v1 · doi: 10.48550/arxiv.1201.3270 · pith_short_12: M7PX26KZ6TAP · pith_short_16: M7PX26KZ6TAP7IBD · pith_short_8: M7PX26KZ

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/M7PX26KZ6TAP7IBDLIJC2CUKIA \
  | 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: 67df7d7959f4c0ffa0235a122d0a8a402c8d1314f327950d2f9ce5b7b3ec8d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e48e148793cb747580c70d67f216d80f40328031225876b5cc69546534c2d7f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-16T14:49:52Z",
    "title_canon_sha256": "5504c954b3a901c2692217e0b5bd652dbb9c8312a7bea1d7bc55645fcd60e72e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3270",
    "kind": "arxiv",
    "version": 1
  }
}