Pith Number

pith:TD3T7BL4

pith:2009:TD3T7BL4IBG6QMNCTKFWARCPGN

not attested not anchored not stored refs pending

Recent Results on the Periodic Lorentz Gas

Fran\c{c}ois Golse

arxiv:0906.0191 v2 · 2009-06-01 · 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{TD3T7BL4IBG6QMNCTKFWARCPGN}

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	2026-05-18T01:11:52.154187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f73f857c404de831a29a8b60444f334aa0021de8e4160dbecf8f890a2d11c8

Aliases

arxiv: 0906.0191 · arxiv_version: 0906.0191v2 · doi: 10.48550/arxiv.0906.0191 · pith_short_12: TD3T7BL4IBG6 · pith_short_16: TD3T7BL4IBG6QMNC · pith_short_8: TD3T7BL4

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/TD3T7BL4IBG6QMNCTKFWARCPGN \
  | 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: 98f73f857c404de831a29a8b60444f334aa0021de8e4160dbecf8f890a2d11c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a704e325081ced2ae5f172a2a8766d75e470f130c8dc7aafe00032212345495d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-01T00:02:32Z",
    "title_canon_sha256": "c5415a462f4104230ddd85f273165b06a817216769d055542aaea1cc059a740f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0191",
    "kind": "arxiv",
    "version": 2
  }
}