Pith Number

pith:NTLQJZBX

pith:2009:NTLQJZBX6COBSMKSEDP57CCXLH

not attested not anchored not stored refs pending

Veech groups of Loch Ness monsters

Ferran Valdez, Gabriela Schmithuesen, Piotr Przytycki

arxiv:0906.5268 v1 · 2009-06-29 · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTLQJZBX6COBSMKSEDP57CCXLH}

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	2026-05-18T00:51:19.676385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd704e437f09c19315220dfdf885759ee2427fdfa1c974e4dc54d6cf6eb9a66

Aliases

arxiv: 0906.5268 · arxiv_version: 0906.5268v1 · doi: 10.48550/arxiv.0906.5268 · pith_short_12: NTLQJZBX6COB · pith_short_16: NTLQJZBX6COBSMKS · pith_short_8: NTLQJZBX

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/NTLQJZBX6COBSMKSEDP57CCXLH \
  | 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: 6cd704e437f09c19315220dfdf885759ee2427fdfa1c974e4dc54d6cf6eb9a66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b65d842d05fc8351f908ddcbcaf2e134a586ef0afb7ad5a3b8726fd73acc73",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-06-29T14:00:13Z",
    "title_canon_sha256": "6c5c14c9eff9b79c65ee0834ac18b2dc1ef7eb9f3cdea8755314efa6b20d3969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5268",
    "kind": "arxiv",
    "version": 1
  }
}