Pith Number

pith:7XLEIXMF

pith:2010:7XLEIXMFQEPKIJTAFLO6MPCU4F

not attested not anchored not stored refs pending

Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model

Adrien Blanchet, Eric Carlen, Jos\'e Antonio Carrillo

arxiv:1009.0134 v2 · 2010-09-01 · 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{7XLEIXMFQEPKIJTAFLO6MPCU4F}

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	2026-05-18T04:16:40.898571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdd6445d85811ea426602adde63c54e154c97247ce8af99fe1c13a36c2947d3a

Aliases

arxiv: 1009.0134 · arxiv_version: 1009.0134v2 · doi: 10.48550/arxiv.1009.0134 · pith_short_12: 7XLEIXMFQEPK · pith_short_16: 7XLEIXMFQEPKIJTA · pith_short_8: 7XLEIXMF

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/7XLEIXMFQEPKIJTAFLO6MPCU4F \
  | 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: fdd6445d85811ea426602adde63c54e154c97247ce8af99fe1c13a36c2947d3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5950ed6206b8a3000b47f2f9a714a4ca59649e3390eec3d0207558a739c45edd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-01T09:37:12Z",
    "title_canon_sha256": "ce90df1c47e0c3ce637368d8de35c0c63e62e07275c2d0aa46e0e8491fb2df08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0134",
    "kind": "arxiv",
    "version": 2
  }
}