Pith Number

pith:HLBNY7DH

pith:2012:HLBNY7DHQAQZII4C4LNPGEA5YI

not attested not anchored not stored refs pending

On Kac's Chaos And Related Problems

Maxime Hauray (LATP), St\'ephane Mischler (CEREMADE)

arxiv:1205.4518 v5 · 2012-05-21 · 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{HLBNY7DHQAQZII4C4LNPGEA5YI}

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	2026-05-18T02:55:18.731677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ac2dc7c678021942382e2daf3101dc233e42d262d9a3804637d9bbb7f12c15d

Aliases

arxiv: 1205.4518 · arxiv_version: 1205.4518v5 · doi: 10.48550/arxiv.1205.4518 · pith_short_12: HLBNY7DHQAQZ · pith_short_16: HLBNY7DHQAQZII4C · pith_short_8: HLBNY7DH

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/HLBNY7DHQAQZII4C4LNPGEA5YI \
  | 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: 3ac2dc7c678021942382e2daf3101dc233e42d262d9a3804637d9bbb7f12c15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5701689fe22c0d2a559e315b58db69a5ca56fa5d2b75fb79dc968f92eb7781cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-21T08:30:25Z",
    "title_canon_sha256": "1f2aa8e71e70d5f63723d664bef5d1e82aa4445c9dc11f21d19d5375a724ca28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4518",
    "kind": "arxiv",
    "version": 5
  }
}