Pith Number

pith:QDF7UA4Z

pith:2025:QDF7UA4Z5XOGGTLDWZCPREXNX4

not attested not anchored not stored refs pending

Cycles on abelian 2n-folds of Weil type from secant sheaves on abelian n-folds

Eyal Markman

arxiv:2502.03415 v2 · 2025-02-05 · 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{QDF7UA4Z5XOGGTLDWZCPREXNX4}

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	2026-07-05T11:17:40.907025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80cbfa0399eddc634d63b644f892edbf1a1d3ddd2900b65ed5c15df0b26dc05b

Aliases

arxiv: 2502.03415 · arxiv_version: 2502.03415v2 · doi: 10.48550/arxiv.2502.03415 · pith_short_12: QDF7UA4Z5XOG · pith_short_16: QDF7UA4Z5XOGGTLD · pith_short_8: QDF7UA4Z

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/QDF7UA4Z5XOGGTLDWZCPREXNX4 \
  | 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: 80cbfa0399eddc634d63b644f892edbf1a1d3ddd2900b65ed5c15df0b26dc05b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f2a6421f4c3a4b49b3e961ac730d4c0fc1c570fea6e34dd001db1d4e6c5362a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-05T17:55:25Z",
    "title_canon_sha256": "e68c31f3ffc1a5c113a073fa313a44b6b2cb34ff39e23311c57588ebb3d1d7ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03415",
    "kind": "arxiv",
    "version": 2
  }
}