Pith Number

pith:BCVZ6RGC

pith:2016:BCVZ6RGCS6C7SELZGX2AUIU7EU

not attested not anchored not stored refs pending

Spectral gap and exponential convergence to equilibrium for a multi-species Landau system

Maria Gualdani, Nicola Zamponi

arxiv:1602.07135 v4 · 2016-02-23 · 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{BCVZ6RGCS6C7SELZGX2AUIU7EU}

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	2026-05-18T00:40:51.795121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08ab9f44c29785f9117935f40a229f25237fdad191504463d884250446618bde

Aliases

arxiv: 1602.07135 · arxiv_version: 1602.07135v4 · doi: 10.48550/arxiv.1602.07135 · pith_short_12: BCVZ6RGCS6C7 · pith_short_16: BCVZ6RGCS6C7SELZ · pith_short_8: BCVZ6RGC

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/BCVZ6RGCS6C7SELZGX2AUIU7EU \
  | 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: 08ab9f44c29785f9117935f40a229f25237fdad191504463d884250446618bde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b6514643ed95f90715037ae3320dcc71adef390cbf3079b090d9a9bee92ed53",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-23T12:22:19Z",
    "title_canon_sha256": "17c793272e81f21f095f1b04cc98e9c16c70aa3991e80ba39ba6c66ca4f09a34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07135",
    "kind": "arxiv",
    "version": 4
  }
}