Pith Number

pith:7ZEMEJHK

pith:2019:7ZEMEJHKJJCKTKRYPKBM7XU7NS

not attested not anchored not stored refs pending

Uniform estimates on the Fisher information for solutions to Boltzmann and Landau equations

Bertrand Lods, Ricardo J. Alonso, V\'eronique Bagland

arxiv:1902.04286 v1 · 2019-02-12 · 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{7ZEMEJHKJJCKTKRYPKBM7XU7NS}

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	2026-05-17T23:54:12.653017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe48c224ea4a44a9aa387a82cfde9f6c86ef7d248a32d4ee5529fc2977986b06

Aliases

arxiv: 1902.04286 · arxiv_version: 1902.04286v1 · doi: 10.48550/arxiv.1902.04286 · pith_short_12: 7ZEMEJHKJJCK · pith_short_16: 7ZEMEJHKJJCKTKRY · pith_short_8: 7ZEMEJHK

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/7ZEMEJHKJJCKTKRYPKBM7XU7NS \
  | 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: fe48c224ea4a44a9aa387a82cfde9f6c86ef7d248a32d4ee5529fc2977986b06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee130317c8f99f9b936be9f0cd559cdb4d43a88852b542ed0ab134dfd7a4795d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-12T09:14:03Z",
    "title_canon_sha256": "b3ca6c47302903fa62b3be245af1972264548f59c59de72600aec350d17536b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04286",
    "kind": "arxiv",
    "version": 1
  }
}