Pith Number

pith:JIKTJFWO

pith:2007:JIKTJFWOHD573O6MCPHABWHLUK

not attested not anchored not stored refs pending

On the Periodic Lorentz Gas and the Lorentz Kinetic Equation

Fran\c{c}ois Golse (CMLS-EcolePolytechnique, LJLL)

arxiv:math/0703812 v1 · 2007-03-27 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIKTJFWOHD573O6MCPHABWHLUK}

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	2026-05-18T03:14:28.381798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a153496ce38fbfdbbcc13ce00d8eba28ee4cb65a22a9df3c08c7ef6b1611f97

Aliases

arxiv: math/0703812 · arxiv_version: math/0703812v1 · doi: 10.48550/arxiv.math/0703812 · pith_short_12: JIKTJFWOHD57 · pith_short_16: JIKTJFWOHD573O6M · pith_short_8: JIKTJFWO

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/JIKTJFWOHD573O6MCPHABWHLUK \
  | 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: 4a153496ce38fbfdbbcc13ce00d8eba28ee4cb65a22a9df3c08c7ef6b1611f97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "586a4ccafd5f93da486a9f2dd797849e11f8a1c5c6dffc0f03ab8c51439f78e1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-03-27T17:26:00Z",
    "title_canon_sha256": "57b8474305f102b600de55a7f8fb51805ab7eea2ee45e329203040cb5311ca46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703812",
    "kind": "arxiv",
    "version": 1
  }
}