Pith Number

pith:HJ4ALJ5I

pith:2006:HJ4ALJ5IOPS7GR4CK7IBMQNL6V

not attested not anchored not stored refs pending

Large time behavior of the a priori bounds for the solutions to the spatially homogeneous Boltzmann equations with soft potentials

Cl\'ement Mouhot (CEREMADE), Laurent Desvillettes (CMLA)

arxiv:math/0606328 v1 · 2006-06-14 · 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{HJ4ALJ5IOPS7GR4CK7IBMQNL6V}

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	2026-05-18T01:08:50.197305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7805a7a873e5f3478257d01641abf55db42c8998ccc70857bdc21f050da8c6

Aliases

arxiv: math/0606328 · arxiv_version: math/0606328v1 · doi: 10.48550/arxiv.math/0606328 · pith_short_12: HJ4ALJ5IOPS7 · pith_short_16: HJ4ALJ5IOPS7GR4C · pith_short_8: HJ4ALJ5I

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/HJ4ALJ5IOPS7GR4CK7IBMQNL6V \
  | 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: 3a7805a7a873e5f3478257d01641abf55db42c8998ccc70857bdc21f050da8c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c21de8ff9dbea47b077513c2db4d141c21279ed5d14908e07d24b7e108eba5e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-06-14T08:25:02Z",
    "title_canon_sha256": "9980efa8d2ed6b0587440a33e456bf4ccbda6f09d9f8b434e64df0f6fb792f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606328",
    "kind": "arxiv",
    "version": 1
  }
}