Pith Number

pith:6I52IACK

pith:2011:6I52IACK73YKUU6BLKUAR4NI3C

not attested not anchored not stored refs pending

Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci

Klaus Hulek, Samuel Grushevsky

arxiv:1103.1858 v2 · 2011-03-09 · 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{6I52IACK73YKUU6BLKUAR4NI3C}

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	2026-05-18T04:23:45.159532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f23ba4004afef0aa53c15aa808f1a8d89d2801d8c42aa3e0dda1e36176c1885e

Aliases

arxiv: 1103.1858 · arxiv_version: 1103.1858v2 · doi: 10.48550/arxiv.1103.1858 · pith_short_12: 6I52IACK73YK · pith_short_16: 6I52IACK73YKUU6B · pith_short_8: 6I52IACK

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/6I52IACK73YKUU6BLKUAR4NI3C \
  | 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: f23ba4004afef0aa53c15aa808f1a8d89d2801d8c42aa3e0dda1e36176c1885e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18eb91d51fd1466fb6b9cfd81a10359ecf0c65f85d920b2b622fa6f1c5853772",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-09T19:27:38Z",
    "title_canon_sha256": "c53e19d5f9bed7535c394e59b5e95405f4921aecf541632de8c2a94e586357de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1858",
    "kind": "arxiv",
    "version": 2
  }
}