Pith Number

pith:IIWTW7SY

pith:2010:IIWTW7SYMHKNV46WMY6K2ZHK5A

not attested not anchored not stored refs pending

Chaos and stability in a two-parameter family of convex billiard tables

David P. Sanders, Jorge Hern\'andez-Tahuil\'an, Mikl\'os Hal\'asz, P\'eter B\'alint

arxiv:1006.3104 v1 · 2010-06-15 · nlin.CD · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIWTW7SYMHKNV46WMY6K2ZHK5A}

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	2026-05-18T03:34:25.813290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

422d3b7e5861d4daf3d6663cad64eae835190acdb2bcc69046502826e8b99e69

Aliases

arxiv: 1006.3104 · arxiv_version: 1006.3104v1 · doi: 10.48550/arxiv.1006.3104 · pith_short_12: IIWTW7SYMHKN · pith_short_16: IIWTW7SYMHKNV46W · pith_short_8: IIWTW7SY

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/IIWTW7SYMHKNV46WMY6K2ZHK5A \
  | 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: 422d3b7e5861d4daf3d6663cad64eae835190acdb2bcc69046502826e8b99e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf4d3be3e9f4254d0e6b6fb3a7fa045a4fb90169a50aed996b460db73c3e43d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-06-15T22:50:10Z",
    "title_canon_sha256": "c7988e2a9e63d0647cd40b543e3fb0c7670fdd03f842402c0e8aa8eaf86061d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3104",
    "kind": "arxiv",
    "version": 1
  }
}