Pith Number

pith:F5AFMPCH

pith:2012:F5AFMPCHXDWKB5JNVJWSR5EUTW

not attested not anchored not stored refs pending

Geometry of theta divisors --- a survey

Klaus Hulek, Samuel Grushevsky

arxiv:1204.2734 v2 · 2012-04-12 · 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{F5AFMPCHXDWKB5JNVJWSR5EUTW}

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	2026-05-18T03:29:51.166357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f40563c47b8eca0f52daa6d28f4949d964cf77015ef04971ac400c19f8cc7ed

Aliases

arxiv: 1204.2734 · arxiv_version: 1204.2734v2 · doi: 10.48550/arxiv.1204.2734 · pith_short_12: F5AFMPCHXDWK · pith_short_16: F5AFMPCHXDWKB5JN · pith_short_8: F5AFMPCH

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/F5AFMPCHXDWKB5JNVJWSR5EUTW \
  | 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: 2f40563c47b8eca0f52daa6d28f4949d964cf77015ef04971ac400c19f8cc7ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737204886a0c71ea9024e7d19ee11b74fb28284c2bf42b21fb31a82aadf8bd1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-12T14:15:19Z",
    "title_canon_sha256": "89f44e6bb3563cd57f1e24c73a320cae375106d7827a259e59cefb2e03728ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2734",
    "kind": "arxiv",
    "version": 2
  }
}