Pith Number

pith:OPG3AOOF

pith:2010:OPG3AOOFLZFKSFRE4ZKT2HTSL7

not attested not anchored not stored refs pending

Endoscopic lifts to the Siegel modular threefold related to Klein's cubic threefold

Takeo Okazaki, Takuya Yamauchi

arxiv:1008.2052 v7 · 2010-08-12 · math.NT · 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{OPG3AOOFLZFKSFRE4ZKT2HTSL7}

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	2026-05-18T03:41:11.293730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73cdb039c55e4aa91624e6553d1e725fe1111924593d08998ac0b22baf3735fa

Aliases

arxiv: 1008.2052 · arxiv_version: 1008.2052v7 · doi: 10.48550/arxiv.1008.2052 · pith_short_12: OPG3AOOFLZFK · pith_short_16: OPG3AOOFLZFKSFRE · pith_short_8: OPG3AOOF

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/OPG3AOOFLZFKSFRE4ZKT2HTSL7 \
  | 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: 73cdb039c55e4aa91624e6553d1e725fe1111924593d08998ac0b22baf3735fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5e1397f0ad5b260163af2a9a84271509332b842bfdc78dc66636881f6931b6a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-12T06:24:32Z",
    "title_canon_sha256": "bcabc2ba44a91b431b502e3aeed721fb9910bf9354ccfdd99c778e004220d53c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2052",
    "kind": "arxiv",
    "version": 7
  }
}