Pith Number

pith:QSQGLHAO

pith:2026:QSQGLHAO4Y6MMNSWNYYWAKJFHA

not attested not anchored not stored refs pending

K-mixing for aperiodic Lorentz gases

Giovanni Canestrari, Marco Lenci

arxiv:2607.24498 v1 · 2026-07-27 · 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{QSQGLHAO4Y6MMNSWNYYWAKJFHA}

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	2026-07-28T02:24:06.708049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84a0659c0ee63cc636566e316029253835a26283e7f75f00bdcaf7ea4cfe5d30

Aliases

arxiv: 2607.24498 · arxiv_version: 2607.24498v1 · doi: 10.48550/arxiv.2607.24498 · pith_short_12: QSQGLHAO4Y6M · pith_short_16: QSQGLHAO4Y6MMNSW · pith_short_8: QSQGLHAO

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/QSQGLHAO4Y6MMNSWNYYWAKJFHA \
  | 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: 84a0659c0ee63cc636566e316029253835a26283e7f75f00bdcaf7ea4cfe5d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a4fbf1aa647af064cbe34d356217ce46798379f3bab78ff1245424508ea1513",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-27T14:32:47Z",
    "title_canon_sha256": "f725fb381638395536c4cb7cc103cf14e494cb157ed6443fc152cc15de2f0c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24498",
    "kind": "arxiv",
    "version": 1
  }
}