Pith Number

pith:BB26NYLI

pith:2019:BB26NYLIRSF24UDK3GAQHKJFP5

not attested not anchored not stored refs pending

Theta divisors and Ulrich bundles on Geometrically ruled surfaces

G. Casnati, L. Costa, M. Aprodu, M. Teixidor i Bigas, R.M. Mir\'o-Roig

arxiv:1904.01498 v1 · 2019-04-02 · 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{BB26NYLIRSF24UDK3GAQHKJFP5}

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	2026-05-17T23:49:34.492920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0875e6e1688c8bae506ad98103a9257f7293fe2cd006f35d59b9744c6afc758e

Aliases

arxiv: 1904.01498 · arxiv_version: 1904.01498v1 · doi: 10.48550/arxiv.1904.01498 · pith_short_12: BB26NYLIRSF2 · pith_short_16: BB26NYLIRSF24UDK · pith_short_8: BB26NYLI

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/BB26NYLIRSF24UDK3GAQHKJFP5 \
  | 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: 0875e6e1688c8bae506ad98103a9257f7293fe2cd006f35d59b9744c6afc758e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "281914716bd14b8e24bae7936140c32bce2b3362f8ae1ee39640a55249a9cef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-02T15:36:15Z",
    "title_canon_sha256": "3d4d2242a331fc33b9cdba407b3f1c1dbcbe000f444cdc8719dfd195465df585"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01498",
    "kind": "arxiv",
    "version": 1
  }
}