Pith Number

pith:FN6DQNRA

pith:2011:FN6DQNRAOU4KGRT3MGOEZ5DJTO

not attested not anchored not stored refs pending

Asymptotic of grazing collisions and particle approximation for the Kac equation without cutoff

David Godinho, Nicolas Fournier

arxiv:1106.2660 v1 · 2011-06-14 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FN6DQNRAOU4KGRT3MGOEZ5DJTO}

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	2026-05-18T03:38:05.172780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b7c3836207538a3467b619c4cf4699b80bf6ea054f5efd0f698cec95b6fe357

Aliases

arxiv: 1106.2660 · arxiv_version: 1106.2660v1 · doi: 10.48550/arxiv.1106.2660 · pith_short_12: FN6DQNRAOU4K · pith_short_16: FN6DQNRAOU4KGRT3 · pith_short_8: FN6DQNRA

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/FN6DQNRAOU4KGRT3MGOEZ5DJTO \
  | 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: 2b7c3836207538a3467b619c4cf4699b80bf6ea054f5efd0f698cec95b6fe357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42b1351e8139bfa8da296e82a932ba70ec20c5c4017296061832cb8051d58c8b",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-14T09:56:37Z",
    "title_canon_sha256": "3f44d71efb10cb11950cb40af5395d118936ab3f51310093dc95408191ce136c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2660",
    "kind": "arxiv",
    "version": 1
  }
}