Pith Number

pith:SCQJJVTY

pith:2021:SCQJJVTY3MPKPBIIPXYMZDH2SW

not attested not anchored not stored refs pending

Collapsing-ring blowup solutions for the Keller-Segel system in three dimensions and higher

Charles Collot, Nader Masmoudi, Tej-Eddine Ghoul, Van Tien Nguyen

arxiv:2112.15518 v2 · 2021-12-31 · 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{SCQJJVTY3MPKPBIIPXYMZDH2SW}

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.

Cited by

1 paper in Pith

Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system

Receipt and verification

First computed	2026-07-05T03:48:48.576543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90a094d678db1ea785087df0cc8cfa95b39e8785f80260e45f3dd00b00ff72a9

Aliases

arxiv: 2112.15518 · arxiv_version: 2112.15518v2 · doi: 10.48550/arxiv.2112.15518 · pith_short_12: SCQJJVTY3MPK · pith_short_16: SCQJJVTY3MPKPBII · pith_short_8: SCQJJVTY

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/SCQJJVTY3MPKPBIIPXYMZDH2SW \
  | 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: 90a094d678db1ea785087df0cc8cfa95b39e8785f80260e45f3dd00b00ff72a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37d0f78f5be4f3d28ce3016832a6319db0b851004c87ff2d2d50b408a718f85a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-12-31T15:37:01Z",
    "title_canon_sha256": "f68aa1ffaa2a40b89b87ab582101b223dba56a495bc3047f1c10e90e3aff2fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15518",
    "kind": "arxiv",
    "version": 2
  }
}