Pith Number

pith:3ZGKIXB3

pith:2013:3ZGKIXB3RLTMRLUW6AGEC472ZF

not attested not anchored not stored refs pending

Rate of convergence of the Nanbu particle system for hard potentials

Nicolas Fournier (LAMA), St\'ephane Mischler (CEREMADE)

arxiv:1302.5810 v2 · 2013-02-23 · 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{3ZGKIXB3RLTMRLUW6AGEC472ZF}

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	2026-05-18T02:52:12.753683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4ca45c3b8ae6c8ae96f00c4173fac9687492cfcba0515fc21bef66f740eb0b

Aliases

arxiv: 1302.5810 · arxiv_version: 1302.5810v2 · doi: 10.48550/arxiv.1302.5810 · pith_short_12: 3ZGKIXB3RLTM · pith_short_16: 3ZGKIXB3RLTMRLUW · pith_short_8: 3ZGKIXB3

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/3ZGKIXB3RLTMRLUW6AGEC472ZF \
  | 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: de4ca45c3b8ae6c8ae96f00c4173fac9687492cfcba0515fc21bef66f740eb0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fd2450b4336b081a13503041ee9a4caa5aafcc2ac86dc9b306f3a62215e19f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-23T15:29:31Z",
    "title_canon_sha256": "fa2960961ed17d95d5009d4d4216f3991435c176dcca683337b3df1b22304b5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5810",
    "kind": "arxiv",
    "version": 2
  }
}