Pith Number

pith:IAID6WN4

pith:2007:IAID6WN4O5UPXYO4HW3M6Z6SNS

not attested not anchored not stored refs pending

The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems

Andreas Str\"ombergsson, Jens Marklof

arxiv:0706.4395 v2 · 2007-06-29 · math.DS · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAID6WN4O5UPXYO4HW3M6Z6SNS}

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	2026-05-18T01:33:59.170831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40103f59bc7768fbe1dc3db6cf67d26ca34202c39e8ea1b813feab845ce6cd3f

Aliases

arxiv: 0706.4395 · arxiv_version: 0706.4395v2 · doi: 10.48550/arxiv.0706.4395 · pith_short_12: IAID6WN4O5UP · pith_short_16: IAID6WN4O5UPXYO4 · pith_short_8: IAID6WN4

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/IAID6WN4O5UPXYO4HW3M6Z6SNS \
  | 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: 40103f59bc7768fbe1dc3db6cf67d26ca34202c39e8ea1b813feab845ce6cd3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef04c01793dddb795f67eefe78354ca285d3f65e2a6daa6d9dcdeefc2af0dc75",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-06-29T12:25:17Z",
    "title_canon_sha256": "ac92a1a3ce38804b6f94a07f353cdbe29cc39bfdd8843067810101e24cc3b446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4395",
    "kind": "arxiv",
    "version": 2
  }
}