Pith Number

pith:Z33DXTFL

pith:2024:Z33DXTFLIYKUZTQADBT6Z4LNPQ

not attested not anchored not stored refs pending

Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in a domain

Kleber Carrapatoso, Pierre Gabriel, Richard Medina, Stephane Mischler

arxiv:2407.10530 v3 · 2024-07-15 · 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{Z33DXTFLIYKUZTQADBT6Z4LNPQ}

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	2026-06-03T01:05:42.889689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef63bccab46154cce001867ecf16d7c02e8f2fd50b25b289e7a7e8839557665

Aliases

arxiv: 2407.10530 · arxiv_version: 2407.10530v3 · doi: 10.48550/arxiv.2407.10530 · pith_short_12: Z33DXTFLIYKU · pith_short_16: Z33DXTFLIYKUZTQA · pith_short_8: Z33DXTFL

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/Z33DXTFLIYKUZTQADBT6Z4LNPQ \
  | 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: cef63bccab46154cce001867ecf16d7c02e8f2fd50b25b289e7a7e8839557665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e492ae43b1db0ad05a241436db68d8c11fa33f4f559ae172fff79e1130f0571e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-07-15T08:38:05Z",
    "title_canon_sha256": "630f677bef4560797ee79197a56b55a9be7434bd0941e9b746b21828797f4c81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.10530",
    "kind": "arxiv",
    "version": 3
  }
}