Pith Number

pith:QJ5EIQ5E

pith:1999:QJ5EIQ5ESIO6S45BHCV46QKVZF

not attested not anchored not stored refs pending

The Complete Hyperbolicity of Cylindric Billiards

Nandor Simanyi

arxiv:math/9906139 v1 · 1999-06-21 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJ5EIQ5ESIO6S45BHCV46QKVZF}

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	2026-05-18T04:42:22.353357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827a4443a4921de973a138abcf4155c976ae487a526b7bfa9754032d7a701b09

Aliases

arxiv: math/9906139 · arxiv_version: math/9906139v1 · doi: 10.48550/arxiv.math/9906139 · pith_short_12: QJ5EIQ5ESIO6 · pith_short_16: QJ5EIQ5ESIO6S45B · pith_short_8: QJ5EIQ5E

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/QJ5EIQ5ESIO6S45BHCV46QKVZF \
  | 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: 827a4443a4921de973a138abcf4155c976ae487a526b7bfa9754032d7a701b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05d441265c0cecc9184ffdf82996c535c9c52b037e1640b9dd0e6fa741e03ec4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1999-06-21T14:51:30Z",
    "title_canon_sha256": "ab34f45f2d0248753a9eda2837c38ff417e84837abfc1a6339004312afef0d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9906139",
    "kind": "arxiv",
    "version": 1
  }
}