Pith Number

pith:AHN3FTJL

pith:2011:AHN3FTJLJ5ZGF3PZCVALOJOBYL

not attested not anchored not stored refs pending

The Gevrey hypoellipticity for kinetic equations

Chao-Jiang Xu (LMRS), Hua Chen, Weixi Li

arxiv:1102.5432 v1 · 2011-02-26 · 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{AHN3FTJLJ5ZGF3PZCVALOJOBYL}

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	2026-05-18T04:27:46.946937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01dbb2cd2b4f7262edf91540b725c1c2d72e221d39ccbc267c15b6f05de8304c

Aliases

arxiv: 1102.5432 · arxiv_version: 1102.5432v1 · doi: 10.48550/arxiv.1102.5432 · pith_short_12: AHN3FTJLJ5ZG · pith_short_16: AHN3FTJLJ5ZGF3PZ · pith_short_8: AHN3FTJL

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/AHN3FTJLJ5ZGF3PZCVALOJOBYL \
  | 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: 01dbb2cd2b4f7262edf91540b725c1c2d72e221d39ccbc267c15b6f05de8304c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2020c72f8cf54ecb609c2d560e061664aa90bfb12fe41960c2ff3cbd6f28703",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-26T17:56:53Z",
    "title_canon_sha256": "b09edc00bb96e06adc13711819610ca4ffaac671f7029098187702c60a013aef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5432",
    "kind": "arxiv",
    "version": 1
  }
}