Pith Number

pith:N5Y554CB

pith:2018:N5Y554CBHFSD5SOFHDEPLHMAEK

not attested not anchored not stored refs pending

Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions

Andrea Bondesan, B\'er\'enice Grec, Laurent Boudin, Marc Briant

arxiv:1811.08350 v1 · 2018-11-20 · math-ph · math.AP · 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{N5Y554CBHFSD5SOFHDEPLHMAEK}

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	2026-05-18T00:00:14.290975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f71def04139643ec9c538c8f59d8022a11f14648783de87ada4aad1a28e3397

Aliases

arxiv: 1811.08350 · arxiv_version: 1811.08350v1 · doi: 10.48550/arxiv.1811.08350 · pith_short_12: N5Y554CBHFSD · pith_short_16: N5Y554CBHFSD5SOF · pith_short_8: N5Y554CB

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/N5Y554CBHFSD5SOFHDEPLHMAEK \
  | 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: 6f71def04139643ec9c538c8f59d8022a11f14648783de87ada4aad1a28e3397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f5dce4adc0b2e31df73895f821fd7636da1331f13672a6f0424046f87fd1850",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-11-20T16:24:19Z",
    "title_canon_sha256": "ca36362918080678b843500f8feeb36623837b5c8260ffd3c99cafcddf74ae17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08350",
    "kind": "arxiv",
    "version": 1
  }
}