Pith Number

pith:JZIEQJII

pith:2015:JZIEQJII5Q5HDVUSK5O47XSDNJ

not attested not anchored not stored refs pending

Percival's Conjecture for the Bunimovich Mushroom Billiard

Sean Gomes

arxiv:1504.07332 v3 · 2015-04-28 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZIEQJII5Q5HDVUSK5O47XSDNJ}

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	2026-05-18T00:56:36.200247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e50482508ec3a71d692575dcfde436a676c2ed6bb13eecb0c10018475827316

Aliases

arxiv: 1504.07332 · arxiv_version: 1504.07332v3 · doi: 10.48550/arxiv.1504.07332 · pith_short_12: JZIEQJII5Q5H · pith_short_16: JZIEQJII5Q5HDVUS · pith_short_8: JZIEQJII

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/JZIEQJII5Q5HDVUSK5O47XSDNJ \
  | 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: 4e50482508ec3a71d692575dcfde436a676c2ed6bb13eecb0c10018475827316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bcd3a4d6ba0b34aeaaec096128e4efb9c55f88891a6d91047ca3068714227b5",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-28T02:33:19Z",
    "title_canon_sha256": "e51dbe08b039ccee806acfc7937aa82b2ba9c8d7720e02a6e8e5f440ba4361f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07332",
    "kind": "arxiv",
    "version": 3
  }
}