Pith Number

pith:5K5NPDQE

pith:2017:5K5NPDQEI37DCXHAV2BBVEQZXX

not attested not anchored not stored refs pending

Observables and Strong One-Sided Chaos in the Boltzmann-Grad Limit

Ryan Denlinger

arxiv:1706.09961 v1 · 2017-06-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5K5NPDQEI37DCXHAV2BBVEQZXX}

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	2026-05-18T00:41:11.839751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eabad78e0446fe315ce0ae821a9219bde7e74baf26d1769a9ca734cdb8639186

Aliases

arxiv: 1706.09961 · arxiv_version: 1706.09961v1 · doi: 10.48550/arxiv.1706.09961 · pith_short_12: 5K5NPDQEI37D · pith_short_16: 5K5NPDQEI37DCXHA · pith_short_8: 5K5NPDQE

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/5K5NPDQEI37DCXHAV2BBVEQZXX \
  | 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: eabad78e0446fe315ce0ae821a9219bde7e74baf26d1769a9ca734cdb8639186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2359a5ec00514194aa3f3aa9d27bb8488c864ef1842746689ac3773a4fcf3f66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-29T21:44:44Z",
    "title_canon_sha256": "556759d569f3200378555e96296b70a1bbf43b6250851f750275da07b65885bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09961",
    "kind": "arxiv",
    "version": 1
  }
}