Pith Number

pith:2BZCTSBN

pith:2006:2BZCTSBNXCWIIECP5RHGC3JYDZ

not attested not anchored not stored refs pending

Cooling process for inelastic Boltzmann equations for hard spheres, Part II: Self-similar solutions and tail behavior

Cl\'ement Mouhot (CEREMADE), St\'ephane Mischler (CEREMADE)

arxiv:math/0607536 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{2BZCTSBNXCWIIECP5RHGC3JYDZ}

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	2026-05-18T01:08:49.932888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07229c82db8ac84104fec4e616d381e7d55adec4027c1cec30f8e5f4230753d

Aliases

arxiv: math/0607536 · arxiv_version: math/0607536v1 · doi: 10.48550/arxiv.math/0607536 · pith_short_12: 2BZCTSBNXCWI · pith_short_16: 2BZCTSBNXCWIIECP · pith_short_8: 2BZCTSBN

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/2BZCTSBNXCWIIECP5RHGC3JYDZ \
  | 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: d07229c82db8ac84104fec4e616d381e7d55adec4027c1cec30f8e5f4230753d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c20859dadd36fffa5175e763e3524dcf9bb69dc0cb2fa47ad1e2709abac0d1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-07-21T14:00:52Z",
    "title_canon_sha256": "692ff2fb961edcc736349ff02254534b0794d9bdcbeaa73c29af0a793e70b762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607536",
    "kind": "arxiv",
    "version": 1
  }
}