Pith Number

pith:UEUUIHGT

pith:2015:UEUUIHGTFMH6AWAX7TE6BICBEG

not attested not anchored not stored refs pending

Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules

Dirk Hundertmark, Jean-Marie Barbaroux, Semjon Vugalter, Tobias Ried

arxiv:1509.01444 v2 · 2015-09-04 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEUUIHGTFMH6AWAX7TE6BICBEG}

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	2026-05-18T00:39:53.075195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a129441cd32b0fe05817fcc9e0a04121aa2cc5fb1d244530cf07249eadd88eea

Aliases

arxiv: 1509.01444 · arxiv_version: 1509.01444v2 · doi: 10.48550/arxiv.1509.01444 · pith_short_12: UEUUIHGTFMH6 · pith_short_16: UEUUIHGTFMH6AWAX · pith_short_8: UEUUIHGT

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/UEUUIHGTFMH6AWAX7TE6BICBEG \
  | 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: a129441cd32b0fe05817fcc9e0a04121aa2cc5fb1d244530cf07249eadd88eea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a5fb8ee319e35b25bd77b41311bd3ce6ad7eb4e697f13e0d7af041ee49fdafc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-04T13:41:32Z",
    "title_canon_sha256": "efb3252013c66b99faf62917896a29b5d73e94c2b2c3ebadd8e6239f18f68f5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01444",
    "kind": "arxiv",
    "version": 2
  }
}