Pith Number

pith:KKOTTESU

pith:2011:KKOTTESUMQGGA7CNLLAGOWAWD5

not attested not anchored not stored refs pending

Hausdorff dimension of three-period orbits in Birkhoff billiards

Sergei Merenkov, Vadim Zharnitsky

arxiv:1112.2745 v1 · 2011-12-12 · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKOTTESUMQGGA7CNLLAGOWAWD5}

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	2026-05-18T01:59:11.255538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

529d399254640c607c4d5ac06758161f6cd65a524474f8e0b9d493ac0e544493

Aliases

arxiv: 1112.2745 · arxiv_version: 1112.2745v1 · doi: 10.48550/arxiv.1112.2745 · pith_short_12: KKOTTESUMQGG · pith_short_16: KKOTTESUMQGGA7CN · pith_short_8: KKOTTESU

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/KKOTTESUMQGGA7CNLLAGOWAWD5 \
  | 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: 529d399254640c607c4d5ac06758161f6cd65a524474f8e0b9d493ac0e544493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c529c26327ef070d68c55072b106633c6e3784392fd500d8ff40e9c0df399685",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-12T23:32:27Z",
    "title_canon_sha256": "c24565aaa01f317935da550e5f72b116e373271f0aefd9af5822fc29efa94fec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2745",
    "kind": "arxiv",
    "version": 1
  }
}