Pith Number

pith:BAD6CXBX

pith:2013:BAD6CXBXWQBCE22XFHYKJTMHK3

not attested not anchored not stored refs pending

Power-law distributions for the free path length in Lorentz gases

Andreas Str\"ombergsson, Jens Marklof

arxiv:1310.0328 v2 · 2013-10-01 · math-ph · math.DS · 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{BAD6CXBXWQBCE22XFHYKJTMHK3}

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	2026-05-18T01:47:17.271111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0807e15c37b402226b5729f0a4cd8756df6162df355053258386342fd7c527ae

Aliases

arxiv: 1310.0328 · arxiv_version: 1310.0328v2 · doi: 10.48550/arxiv.1310.0328 · pith_short_12: BAD6CXBXWQBC · pith_short_16: BAD6CXBXWQBCE22X · pith_short_8: BAD6CXBX

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/BAD6CXBXWQBCE22XFHYKJTMHK3 \
  | 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: 0807e15c37b402226b5729f0a4cd8756df6162df355053258386342fd7c527ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f492dfa0698b599b2ebef3677c38e7f7e7970979c5920bd4a77f984c4d92f3d0",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-10-01T14:48:55Z",
    "title_canon_sha256": "29e592e34638cf4db0e0e51eae37b981029d5c288960e151107db880eb98523d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0328",
    "kind": "arxiv",
    "version": 2
  }
}