Pith Number

pith:QC44Y7UM

pith:2013:QC44Y7UMLTK6GITUL4CN3HRPPR

not attested not anchored not stored refs pending

E8 lattice and the Kodaira dimension of orthogonal modular varieties

Shouhei Ma

arxiv:1306.2129 v2 · 2013-06-10 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QC44Y7UMLTK6GITUL4CN3HRPPR}

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	2026-05-18T02:45:48.730127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b9cc7e8c5cd5e322745f04dd9e2f7c47e13bbe2937922de8e52505e2f73aa5

Aliases

arxiv: 1306.2129 · arxiv_version: 1306.2129v2 · doi: 10.48550/arxiv.1306.2129 · pith_short_12: QC44Y7UMLTK6 · pith_short_16: QC44Y7UMLTK6GITU · pith_short_8: QC44Y7UM

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/QC44Y7UMLTK6GITUL4CN3HRPPR \
  | 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: 80b9cc7e8c5cd5e322745f04dd9e2f7c47e13bbe2937922de8e52505e2f73aa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7304731e1059f7c3ae0952b3ec3b917cf92ec9af4850f4d0b492b5110d1820cd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-10T08:09:57Z",
    "title_canon_sha256": "8bc53b8f0375e7ebb05e6abaa5406cd244858474dde1fcb02a45d67ddc77c9be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2129",
    "kind": "arxiv",
    "version": 2
  }
}