Pith Number

pith:F3HRO4VW

pith:2017:F3HRO4VWCC4WA74Q2A72IHQAOH

not attested not anchored not stored refs pending

Hurwitz Theory of Elliptic Orbifolds, I

Philip Engel

arxiv:1706.06738 v3 · 2017-06-21 · math.AG · math.CO · 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{F3HRO4VWCC4WA74Q2A72IHQAOH}

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.

Cited by

1 paper in Pith

Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves

Receipt and verification

First computed	2026-07-05T02:51:56.981471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ecf1772b610b9607f90d03fa41e0071f378f7ef37b16db6ac7330c488e33f02

Aliases

arxiv: 1706.06738 · arxiv_version: 1706.06738v3 · doi: 10.48550/arxiv.1706.06738 · pith_short_12: F3HRO4VWCC4W · pith_short_16: F3HRO4VWCC4WA74Q · pith_short_8: F3HRO4VW

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/F3HRO4VWCC4WA74Q2A72IHQAOH \
  | 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: 2ecf1772b610b9607f90d03fa41e0071f378f7ef37b16db6ac7330c488e33f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c757b4dd6c09e1ea6951e48db64fd2bff5e9fe8f0bd2ebd8c99ff2bb04f9bb",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-21T04:53:00Z",
    "title_canon_sha256": "8ae2756f9a2e0f57d79ab6f29a7d63fb85c3612f907144a7f38f0433ee993a9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06738",
    "kind": "arxiv",
    "version": 3
  }
}