Pith Number

pith:L4QLS3W5

pith:2010:L4QLS3W5DJPKTY5KZ7NO6YVE4O

not attested not anchored not stored refs pending

An Infinite Surface With The Lattice Property I: Veech Groups and Coding Geodesics

W. Patrick Hooper

arxiv:1011.0700 v2 · 2010-11-02 · 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{L4QLS3W5DJPKTY5KZ7NO6YVE4O}

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	2026-05-18T03:46:32.003169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f20b96edd1a5ea9e3aacfdaef62a4e39c870fb912fff99771dce7c754f0d179

Aliases

arxiv: 1011.0700 · arxiv_version: 1011.0700v2 · doi: 10.48550/arxiv.1011.0700 · pith_short_12: L4QLS3W5DJPK · pith_short_16: L4QLS3W5DJPKTY5K · pith_short_8: L4QLS3W5

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/L4QLS3W5DJPKTY5KZ7NO6YVE4O \
  | 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: 5f20b96edd1a5ea9e3aacfdaef62a4e39c870fb912fff99771dce7c754f0d179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c8b915c721330d1075a7d112bc37fea23d84cc981fbed88bb9cb9cb20365388",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-02T18:46:27Z",
    "title_canon_sha256": "40bb5c2a079500551c8262161853826fc82a83f1b82a9ca61491d1be9663b74e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0700",
    "kind": "arxiv",
    "version": 2
  }
}