Pith Number

pith:VUQNZOZA

pith:2015:VUQNZOZA4OR3UQD3MA77BMATLS

not attested not anchored not stored refs pending

Genericity on curves and applications: pseudo-integrable billiards, Eaton lenses and gap distributions

Corinna Ulcigrai, Krzysztof Fr\k{a}czek, Ronggang Shi

arxiv:1508.03946 v2 · 2015-08-17 · math.DS · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUQNZOZA4OR3UQD3MA77BMATLS}

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	2026-05-18T00:24:32.007667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad20dcbb20e3a3ba407b603ff0b0135c83d28f6b543e74cc29c9ac7714945ee3

Aliases

arxiv: 1508.03946 · arxiv_version: 1508.03946v2 · doi: 10.48550/arxiv.1508.03946 · pith_short_12: VUQNZOZA4OR3 · pith_short_16: VUQNZOZA4OR3UQD3 · pith_short_8: VUQNZOZA

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/VUQNZOZA4OR3UQD3MA77BMATLS \
  | 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: ad20dcbb20e3a3ba407b603ff0b0135c83d28f6b543e74cc29c9ac7714945ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf2452a47d9befabda1d44542b6eb3cb5e6453d45e6b658b2a0b12586c9ca632",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-17T08:28:03Z",
    "title_canon_sha256": "e41914601c8ad34d6ae99fb0c187f765e93b47b097cb04e396d599fb7cd7ea6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03946",
    "kind": "arxiv",
    "version": 2
  }
}