Pith Number

pith:O3WJHYJX

pith:2025:O3WJHYJX4SVWNBY2XDJYXVZMAT

not attested not anchored not stored refs pending

Hassett--Keel Program in genus four

Kenneth Ascher, Kristin DeVleming, Xiaowei Wang, Yuchen Liu

arxiv:2504.20312 v1 · 2025-04-28 · 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{O3WJHYJX4SVWNBY2XDJYXVZMAT}

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.

Cited by

1 paper in Pith

Remarks on two problems by Hassett

Receipt and verification

First computed	2026-07-05T10:55:40.441580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ec93e137e4ab66871ab8d38bd72c04ee77f497722dedd1f56a09a145daa6df

Aliases

arxiv: 2504.20312 · arxiv_version: 2504.20312v1 · doi: 10.48550/arxiv.2504.20312 · pith_short_12: O3WJHYJX4SVW · pith_short_16: O3WJHYJX4SVWNBY2 · pith_short_8: O3WJHYJX

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/O3WJHYJX4SVWNBY2XDJYXVZMAT \
  | 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: 76ec93e137e4ab66871ab8d38bd72c04ee77f497722dedd1f56a09a145daa6df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aca866682f1c0cac42968b12a12a10f791eee409ba8bad6be01b29d9942ae12",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-28T23:48:24Z",
    "title_canon_sha256": "0318eafdc4a613c622a440b6501af82f4fb5a15c89af786b6bdc3100b572f29a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20312",
    "kind": "arxiv",
    "version": 1
  }
}