Pith. sign in
Pith Number

pith:JIOVHFDG

pith:2021:JIOVHFDGNXLAZD4SJZMYXNFVLD
not attested not anchored not stored refs pending

Orbifolds and minimal modular extensions

Chongying Dong, Li Ren, Siu-Hung Ng

arxiv:2108.05225 v2 · 2021-08-11 · math.QA · math.GR · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JIOVHFDGNXLAZD4SJZMYXNFVLD}

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

Receipt and verification
First computed 2026-07-05T03:07:51.722646Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4a1d5394666dd60c8f924e598bb4b558d7cec3c0e952334816657d53f409cacb

Aliases

arxiv: 2108.05225 · arxiv_version: 2108.05225v2 · doi: 10.48550/arxiv.2108.05225 · pith_short_12: JIOVHFDGNXLA · pith_short_16: JIOVHFDGNXLAZD4S · pith_short_8: JIOVHFDG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JIOVHFDGNXLAZD4SJZMYXNFVLD \
  | 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: 4a1d5394666dd60c8f924e598bb4b558d7cec3c0e952334816657d53f409cacb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9912f05b7929fed7f30c41da99bcbba09670a5df9be18da8b168a98ffe8de352",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-08-11T13:45:40Z",
    "title_canon_sha256": "e19889798fdf681e251fa894834cf09f570279734ae856110852c3a2de94d10c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.05225",
    "kind": "arxiv",
    "version": 2
  }
}