Pith Number

pith:BLB4G4WQ

pith:2025:BLB4G4WQYWDV75KERPE7GEM5RH

not attested not anchored not stored refs pending

Ulrich bundles on double coverings of projective space

Roberto Vacca

arxiv:2507.09345 v1 · 2025-07-12 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLB4G4WQYWDV75KERPE7GEM5RH}

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 with $c_2(\mathcal E)^2=0$ and connectedness of Ulrich subvarieties

Receipt and verification

First computed	2026-07-05T11:36:07.465354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac3c372d0c5875ff5448bc9f3119d89ec8e14015bc742b8bc02b71bc5e47deb

Aliases

arxiv: 2507.09345 · arxiv_version: 2507.09345v1 · doi: 10.48550/arxiv.2507.09345 · pith_short_12: BLB4G4WQYWDV · pith_short_16: BLB4G4WQYWDV75KE · pith_short_8: BLB4G4WQ

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/BLB4G4WQYWDV75KERPE7GEM5RH \
  | 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: 0ac3c372d0c5875ff5448bc9f3119d89ec8e14015bc742b8bc02b71bc5e47deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3825edc5c027c72b1675b9b5838f23ff1c2a50982c45b6107d1e9100166dbce6",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-12T16:50:29Z",
    "title_canon_sha256": "aa8134cb7aad1b64752ece65f2f887a64affcbdd5502ca0f86939b3665ce3c0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09345",
    "kind": "arxiv",
    "version": 1
  }
}