Pith Number

pith:CXJHWGQD

pith:2025:CXJHWGQDT4S26FY5UI5MEEI7HN

not attested not anchored not stored refs pending

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper

Yasuhiro Wakabayashi

arxiv:2509.03982 v1 · 2025-09-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXJHWGQDT4S26FY5UI5MEEI7HN}

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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

Genus formulas for dormant modular curves and asymptotic behavior of their function fields

Receipt and verification

First computed	2026-07-05T12:04:51.071638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d27b1a039f25af171da23ac2111f3b56c152c079e53d9cb8b821e9b4e04f7d

Aliases

arxiv: 2509.03982 · arxiv_version: 2509.03982v1 · doi: 10.48550/arxiv.2509.03982 · pith_short_12: CXJHWGQDT4S2 · pith_short_16: CXJHWGQDT4S26FY5 · pith_short_8: CXJHWGQD

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/CXJHWGQDT4S26FY5UI5MEEI7HN \
  | 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: 15d27b1a039f25af171da23ac2111f3b56c152c079e53d9cb8b821e9b4e04f7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5781c21aeafe71522ca5edd232559e3adf35ad373d9a52269434306b6ef0abdc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-04T08:10:32Z",
    "title_canon_sha256": "9599b129feb6c3cec9f42512da01ac662e7832adb9a9fe33ce68c8659de70377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03982",
    "kind": "arxiv",
    "version": 1
  }
}