Pith Number

pith:QA73L7DN

pith:2016:QA73L7DNYZW2CL3Z3244JB2MHV

not attested not anchored not stored refs pending

Veech surfaces and simple closed curves

Jing Tao, Max Forester, Robert Tang

arxiv:1605.01772 v2 · 2016-05-05 · math.GT · 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{QA73L7DNYZW2CL3Z3244JB2MHV}

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	2026-05-18T00:53:08.238950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

803fb5fc6dc66da12f79deb9c4874c3d5727b89b556439b84cafd4b5aaf97747

Aliases

arxiv: 1605.01772 · arxiv_version: 1605.01772v2 · doi: 10.48550/arxiv.1605.01772 · pith_short_12: QA73L7DNYZW2 · pith_short_16: QA73L7DNYZW2CL3Z · pith_short_8: QA73L7DN

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/QA73L7DNYZW2CL3Z3244JB2MHV \
  | 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: 803fb5fc6dc66da12f79deb9c4874c3d5727b89b556439b84cafd4b5aaf97747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5e8f0c6ff6aeb75be30db757dc3666f64011e362f22f236e8995310f41fbaa8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-05T22:05:45Z",
    "title_canon_sha256": "6d2df64504546913e4115af0f1cb697f1930bb47f459cf14d9842a660d868bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01772",
    "kind": "arxiv",
    "version": 2
  }
}