Pith Number

pith:7EM5LOML

pith:2016:7EM5LOMLB7BRGE6SK5U2N7IBOE

not attested not anchored not stored refs pending

Stable laws for chaotic billiards with cusps at flat points

Hongkun Zhang, Paul Jung

arxiv:1611.00879 v3 · 2016-11-03 · math-ph · math.DS · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EM5LOMLB7BRGE6SK5U2N7IBOE}

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	2026-05-18T00:05:24.267691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f919d5b98b0fc31313d25769a6fd017101453898a1c8d429aa48df0a2d51d60b

Aliases

arxiv: 1611.00879 · arxiv_version: 1611.00879v3 · doi: 10.48550/arxiv.1611.00879 · pith_short_12: 7EM5LOMLB7BR · pith_short_16: 7EM5LOMLB7BRGE6S · pith_short_8: 7EM5LOML

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/7EM5LOMLB7BRGE6SK5U2N7IBOE \
  | 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: f919d5b98b0fc31313d25769a6fd017101453898a1c8d429aa48df0a2d51d60b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8c1a0dbcd4ab64c2a4c2168df6312516da3db59af0c766beb565d980861429",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-03T04:09:53Z",
    "title_canon_sha256": "ead8370569ac7ef0f64172de189d2b6660e431f20133c1ffb5a869e337f61218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00879",
    "kind": "arxiv",
    "version": 3
  }
}