Pith Number

pith:QVZO223Y

pith:2012:QVZO223YDFI7MRDB5QBM5V3HFU

not attested not anchored not stored refs pending

Globally Generated Vector Bundles on P^3 with c_1=3

Nicolae Manolache

arxiv:1202.5988 v1 · 2012-02-27 · 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{QVZO223YDFI7MRDB5QBM5V3HFU}

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	2026-05-18T04:01:24.137708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8572ed6b781951f64461ec02ced7672d07022100e2b0fef96be5e2d070b6704b

Aliases

arxiv: 1202.5988 · arxiv_version: 1202.5988v1 · doi: 10.48550/arxiv.1202.5988 · pith_short_12: QVZO223YDFI7 · pith_short_16: QVZO223YDFI7MRDB · pith_short_8: QVZO223Y

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/QVZO223YDFI7MRDB5QBM5V3HFU \
  | 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: 8572ed6b781951f64461ec02ced7672d07022100e2b0fef96be5e2d070b6704b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "511eb5a9e9ed0b7b55b289c13fcd56647c4a9fa2e610a3e733ca59520e4ffd9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-27T16:09:44Z",
    "title_canon_sha256": "0efd397b27b09e4f137a91693f789bb6206220e1f366044a7cfc3369ad3cc19d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5988",
    "kind": "arxiv",
    "version": 1
  }
}