Pith Number

pith:OP2CQVWS

pith:2014:OP2CQVWS4H43RYKYWOC76P5TOC

not attested not anchored not stored refs pending

The Lagrange spectrum of a Veech surface has a Hall ray

Corinna Ulcigrai, Luca Marchese, Mauro Artigiani

arxiv:1409.7023 v3 · 2014-09-24 · math.DS · 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{OP2CQVWS4H43RYKYWOC76P5TOC}

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	2026-05-18T01:27:38.586189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f42856d2e1f9b8e158b385ff3fb3708b203d8696d04119414cef8847bf4f4f

Aliases

arxiv: 1409.7023 · arxiv_version: 1409.7023v3 · doi: 10.48550/arxiv.1409.7023 · pith_short_12: OP2CQVWS4H43 · pith_short_16: OP2CQVWS4H43RYKY · pith_short_8: OP2CQVWS

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/OP2CQVWS4H43RYKYWOC76P5TOC \
  | 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: 73f42856d2e1f9b8e158b385ff3fb3708b203d8696d04119414cef8847bf4f4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd90e3ac547d14cc61aa8a1439f406efd6e75f88aa2d330ffd1fc31aac5b9294",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-24T17:16:19Z",
    "title_canon_sha256": "bcdb4c1a3a79e23efef8a9763bee59e4d6cac1da4e1076080c2069981a59e08f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7023",
    "kind": "arxiv",
    "version": 3
  }
}