Pith Number

pith:TGF5X3HP

pith:2019:TGF5X3HPDVPYIGKXT6YLP7HPXH

not attested not anchored not stored refs pending

Existence and stability of infinite time blow-up in the Keller-Segel system

Jean Dolbeault, Juan Davila, Juncheng Wei, Manuel del Pino, Monica Musso

arxiv:1911.12417 v3 · 2019-11-27 · 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{TGF5X3HPDVPYIGKXT6YLP7HPXH}

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	2026-07-05T05:41:48.928132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998bdbecef1d5f8419579fb0b7fcefb9de0dc611a806d9e59d0ab6746eaf99fb

Aliases

arxiv: 1911.12417 · arxiv_version: 1911.12417v3 · doi: 10.48550/arxiv.1911.12417 · pith_short_12: TGF5X3HPDVPY · pith_short_16: TGF5X3HPDVPYIGKX · pith_short_8: TGF5X3HP

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/TGF5X3HPDVPYIGKXT6YLP7HPXH \
  | 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: 998bdbecef1d5f8419579fb0b7fcefb9de0dc611a806d9e59d0ab6746eaf99fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b24253a5d591cd2f60d7b5a70d73a48414b3b36f545630eb2b08d8432fddfba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-11-27T20:46:45Z",
    "title_canon_sha256": "ea814ebb06a98743babd99ccc250e978606de66a1c59d2000444b6ac76ce0dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12417",
    "kind": "arxiv",
    "version": 3
  }
}