Pith Number

pith:7VK6ID54

pith:2006:7VK6ID544N73EOMRAITRFGCJNE

not attested not anchored not stored refs pending

Cooling process for inelastic Boltzmann equations for hard spheres, Part I: The Cauchy problem

Cl\'ement Mouhot (CEREMADE), Mariano Rodriguez Ricard (Facultad De Matematica Y Computacion), St\'ephane Mischler (CEREMADE)

arxiv:math/0607535 v1 · 2006-07-21 · 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{7VK6ID544N73EOMRAITRFGCJNE}

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	2026-05-18T01:08:49.940240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd55e40fbce37fb23991022712984969046aa84132bd7122e328cf26397e2daa

Aliases

arxiv: math/0607535 · arxiv_version: math/0607535v1 · doi: 10.48550/arxiv.math/0607535 · pith_short_12: 7VK6ID544N73 · pith_short_16: 7VK6ID544N73EOMR · pith_short_8: 7VK6ID54

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/7VK6ID544N73EOMRAITRFGCJNE \
  | 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: fd55e40fbce37fb23991022712984969046aa84132bd7122e328cf26397e2daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57b1aa2ad33a1cbff055524d4a562cb21485f29520cf706b654f4fd36fa2e7f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-07-21T14:00:18Z",
    "title_canon_sha256": "167cafe66ea38ef96898240fe011d4af4da1d70ca844e6853336195083481b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607535",
    "kind": "arxiv",
    "version": 1
  }
}