Pith Number

pith:UKRKOPWR

pith:2016:UKRKOPWR2W42I4USLS6K7GKVVT

not attested not anchored not stored refs pending

Veech groups of flat surfaces with poles

Guillaume Tahar

arxiv:1606.03706 v3 · 2016-06-12 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKRKOPWR2W42I4USLS6K7GKVVT}

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	2026-05-18T00:27:10.069004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a2a73ed1d5b9a472925cbcaf9955acfb2aad0de32a73a21f8b03be2afb9616

Aliases

arxiv: 1606.03706 · arxiv_version: 1606.03706v3 · doi: 10.48550/arxiv.1606.03706 · pith_short_12: UKRKOPWR2W42 · pith_short_16: UKRKOPWR2W42I4US · pith_short_8: UKRKOPWR

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/UKRKOPWR2W42I4USLS6K7GKVVT \
  | 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: a2a2a73ed1d5b9a472925cbcaf9955acfb2aad0de32a73a21f8b03be2afb9616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97266bf8bcaac5e58b9abe0d9ae3796ed0676050fb3ada3da852763e2c0c1a2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-06-12T13:04:26Z",
    "title_canon_sha256": "a29496e6c62a455afa29a8bdb6f20a6c5e20e034cd1ab657bbc22e3946367544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03706",
    "kind": "arxiv",
    "version": 3
  }
}