Pith Number

pith:OJ7NH2FZ

pith:2015:OJ7NH2FZGRBXKFD45FGSUEJKLJ

not attested not anchored not stored refs pending

Icosahedron, exceptional singularities and modular forms

Lei Yang

arxiv:1511.05278 v1 · 2015-11-17 · math.NT · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJ7NH2FZGRBXKFD45FGSUEJKLJ}

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	2026-05-18T01:26:49.597416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

727ed3e8b9344375147ce94d2a112a5a6dd5d55e30e59814d8afec63969cd950

Aliases

arxiv: 1511.05278 · arxiv_version: 1511.05278v1 · doi: 10.48550/arxiv.1511.05278 · pith_short_12: OJ7NH2FZGRBX · pith_short_16: OJ7NH2FZGRBXKFD4 · pith_short_8: OJ7NH2FZ

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/OJ7NH2FZGRBXKFD45FGSUEJKLJ \
  | 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: 727ed3e8b9344375147ce94d2a112a5a6dd5d55e30e59814d8afec63969cd950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4538e9e41262aa05e4f6af44cdbed981c7b0d731c7450a41a197413c9a78272",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-17T06:19:38Z",
    "title_canon_sha256": "74c61f59071ca1aadef607fb7d3e919ea09e040a569c87091ace7a8af6f38a29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05278",
    "kind": "arxiv",
    "version": 1
  }
}