Pith Number

pith:JXSGUBX4

pith:2006:JXSGUBX4EVQ4VMKUJGVULDHOMO

not attested not anchored not stored refs pending

Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions

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

arxiv:math/0606307 v1 · 2006-06-13 · 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{JXSGUBX4EVQ4VMKUJGVULDHOMO}

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	2026-05-18T01:08:50.205398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de46a06fc2561cab15449ab458cee63902b91f042d32b7ca6c45a2a48a4c34c

Aliases

arxiv: math/0606307 · arxiv_version: math/0606307v1 · doi: 10.48550/arxiv.math/0606307 · pith_short_12: JXSGUBX4EVQ4 · pith_short_16: JXSGUBX4EVQ4VMKU · pith_short_8: JXSGUBX4

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/JXSGUBX4EVQ4VMKUJGVULDHOMO \
  | 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: 4de46a06fc2561cab15449ab458cee63902b91f042d32b7ca6c45a2a48a4c34c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe3ef266c3326a27839c052124efa22b2ed75ef5cf8a8e1cc5280c370ccce79a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-06-13T12:55:37Z",
    "title_canon_sha256": "3f6de098c4a0b3ecb9357563852a33ea46173288766d2907390dac343c323146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606307",
    "kind": "arxiv",
    "version": 1
  }
}