Pith Number

pith:IB4E2MHA

pith:2019:IB4E2MHAIILFT3ZAEYDGGR5SUP

not attested not anchored not stored refs pending

Divisors on surfaces isogenous to a product of mixed type with $p_g=0$

Davide Frapporti, Kyoung-Seog Lee

arxiv:1908.09330 v2 · 2019-08-25 · 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{IB4E2MHAIILFT3ZAEYDGGR5SUP}

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	2026-07-05T04:53:17.519364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40784d30e0421659ef2026066347b2a3f9539df1f5724d53325f2dd96e1dbe27

Aliases

arxiv: 1908.09330 · arxiv_version: 1908.09330v2 · doi: 10.48550/arxiv.1908.09330 · pith_short_12: IB4E2MHAIILF · pith_short_16: IB4E2MHAIILFT3ZA · pith_short_8: IB4E2MHA

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/IB4E2MHAIILFT3ZAEYDGGR5SUP \
  | 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: 40784d30e0421659ef2026066347b2a3f9539df1f5724d53325f2dd96e1dbe27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6583d303ec000f686cfe68d519d0a35adaed5e1506bb812604ea14c88c62a2c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-25T14:02:38Z",
    "title_canon_sha256": "beee0707d6da4ea270edb1bae6ab8a25b7f7470b06a5f222e3d2ef4d1ebb5d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09330",
    "kind": "arxiv",
    "version": 2
  }
}