Pith Number

pith:STMMX7HI

pith:2012:STMMX7HIOJQKE2SPUJZ2VCKNFX

not attested not anchored not stored refs pending

Uniruledness of orthogonal modular varieties

Klaus Hulek, Valery Gritsenko

arxiv:1202.3361 v1 · 2012-02-15 · 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{STMMX7HIOJQKE2SPUJZ2VCKNFX}

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	2026-05-18T04:02:14.028004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94d8cbfce87260a26a4fa273aa894d2dfccd7da042eda1ff2d6e4b4822d93e40

Aliases

arxiv: 1202.3361 · arxiv_version: 1202.3361v1 · doi: 10.48550/arxiv.1202.3361 · pith_short_12: STMMX7HIOJQK · pith_short_16: STMMX7HIOJQKE2SP · pith_short_8: STMMX7HI

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/STMMX7HIOJQKE2SPUJZ2VCKNFX \
  | 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: 94d8cbfce87260a26a4fa273aa894d2dfccd7da042eda1ff2d6e4b4822d93e40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b7c1acafc27495c727a37fdf45cd7e8a9b072be03e45e28ed08bb2956cfe9e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-15T16:53:10Z",
    "title_canon_sha256": "9bf196432ca43aea3415a5c0537ac9bdd47de53f10ba6190fbdbb429e6464036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3361",
    "kind": "arxiv",
    "version": 1
  }
}