Pith Number

pith:NKRNVRGP

pith:2006:NKRNVRGPA6LOJJMBSQZ26UNRO4

not attested not anchored not stored refs pending

About $L^p$ estimates for the spatially homogeneous Boltzmann equation

Cl\'ement Mouhot (CEREMADE), Laurent Desvillettes (CMLA)

arxiv:math/0607540 v1 · 2006-07-21 · 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{NKRNVRGPA6LOJJMBSQZ26UNRO4}

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	2026-05-18T01:08:49.911573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa2dac4cf0796e4a5819433af51b17706d5ce680c315525020bc43bb05dc162

Aliases

arxiv: math/0607540 · arxiv_version: math/0607540v1 · doi: 10.48550/arxiv.math/0607540 · pith_short_12: NKRNVRGPA6LO · pith_short_16: NKRNVRGPA6LOJJMB · pith_short_8: NKRNVRGP

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/NKRNVRGPA6LOJJMBSQZ26UNRO4 \
  | 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: 6aa2dac4cf0796e4a5819433af51b17706d5ce680c315525020bc43bb05dc162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "959170ee99f309ac11ab24991a99904c535a06791ae4acd1912ab8c2780bbd9e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-07-21T14:59:58Z",
    "title_canon_sha256": "a7fe35491f426033651970d2e5b6e5d1be448f2352c6d9418e311208a783a664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607540",
    "kind": "arxiv",
    "version": 1
  }
}