Pith Number

pith:C3NLATNB

pith:2021:C3NLATNBUZSJ5FDHWCZLA4O5U2

not attested not anchored not stored refs pending

Slope Gap Distributions of Veech Surfaces

Anthony Sanchez, Jane Wang, Luis Kumanduri

arxiv:2102.10069 v2 · 2021-02-19 · math.DS · 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{C3NLATNBUZSJ5FDHWCZLA4O5U2}

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	2026-07-05T08:10:52.434066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16dab04da1a6649e9467b0b2b071dda6a37e41f73406fa578f23e6a4ebbb135f

Aliases

arxiv: 2102.10069 · arxiv_version: 2102.10069v2 · doi: 10.48550/arxiv.2102.10069 · pith_short_12: C3NLATNBUZSJ · pith_short_16: C3NLATNBUZSJ5FDH · pith_short_8: C3NLATNB

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/C3NLATNBUZSJ5FDHWCZLA4O5U2 \
  | 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: 16dab04da1a6649e9467b0b2b071dda6a37e41f73406fa578f23e6a4ebbb135f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c276969f3b3daa3d67dc414331a21f6b2811420062de96f40ecddd3f9a05f8c1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-02-19T17:59:38Z",
    "title_canon_sha256": "f3c78624e5821a8d3261f8d34129f947e4a2e781feaead799870aff187950faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.10069",
    "kind": "arxiv",
    "version": 2
  }
}