Pith Number

pith:ASF7Q67M

pith:2008:ASF7Q67MKUDBPQ3OFIUDWSWAKS

not attested not anchored not stored refs pending

Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model

Adrien Blanchet (GREMAQ), Javier Fern\'andez, Jean Dolbeault (CEREMADE), Miguel Escobedo

arxiv:0812.4876 v1 · 2008-12-29 · 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{ASF7Q67MKUDBPQ3OFIUDWSWAKS}

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	2026-05-18T04:38:15.690095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

048bf87bec550617c36e2a283b4ac0548254355cf1755b933323418109989b40

Aliases

arxiv: 0812.4876 · arxiv_version: 0812.4876v1 · doi: 10.48550/arxiv.0812.4876 · pith_short_12: ASF7Q67MKUDB · pith_short_16: ASF7Q67MKUDBPQ3O · pith_short_8: ASF7Q67M

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/ASF7Q67MKUDBPQ3OFIUDWSWAKS \
  | 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: 048bf87bec550617c36e2a283b4ac0548254355cf1755b933323418109989b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d05ba24e11cb3b2485378922b07e5147e3ab16a49d0e2c65f2fe87df53e7e8c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-29T07:29:30Z",
    "title_canon_sha256": "84e835410562b7c264d378c5b292f8078d2b05cb7699a987d089e38554cb7b20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4876",
    "kind": "arxiv",
    "version": 1
  }
}