Pith Number

pith:B3IXQCKV

pith:2024:B3IXQCKVSPVY6IEKTNTDF22V76

not attested not anchored not stored refs pending

Positivity of Ulrich bundles in the ample and free case

Valerio Buttinelli

arxiv:2403.03139 v1 · 2024-03-05 · 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{B3IXQCKVSPVY6IEKTNTDF22V76}

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

Ulrich bundles on double coverings of projective space

Receipt and verification

First computed	2026-07-05T07:52:36.501075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed178095593eb8f208a9b6632eb55ffa096033efa7ecef1a305ab42dfed30f2

Aliases

arxiv: 2403.03139 · arxiv_version: 2403.03139v1 · doi: 10.48550/arxiv.2403.03139 · pith_short_12: B3IXQCKVSPVY · pith_short_16: B3IXQCKVSPVY6IEK · pith_short_8: B3IXQCKV

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/B3IXQCKVSPVY6IEKTNTDF22V76 \
  | 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: 0ed178095593eb8f208a9b6632eb55ffa096033efa7ecef1a305ab42dfed30f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef02a417c6ecf733d53c25c75ab3c68bd0b1d31b82b2ca561aa4031530b8dbe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-03-05T17:24:16Z",
    "title_canon_sha256": "efec7a98dc3b1800420763df9bd7bd4033018f50fdd42adf40fdcf5ad0d649f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.03139",
    "kind": "arxiv",
    "version": 1
  }
}