Pith Number

pith:ZDAP76DL

pith:2010:ZDAP76DLCPNZEQOSZZV4CQ4LQS

not attested not anchored not stored refs pending

Weakly uniform rank two vector bundles on multiprojective spaces

Edoardo Ballico, Francesco Malaspina

arxiv:1011.2965 v1 · 2010-11-12 · 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{ZDAP76DLCPNZEQOSZZV4CQ4LQS}

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	2026-05-18T04:36:07.661938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8c0fff86b13db9241d2ce6bc1438b84a5c5379fe83df045f8cbfe1394fb1209

Aliases

arxiv: 1011.2965 · arxiv_version: 1011.2965v1 · doi: 10.48550/arxiv.1011.2965 · pith_short_12: ZDAP76DLCPNZ · pith_short_16: ZDAP76DLCPNZEQOS · pith_short_8: ZDAP76DL

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/ZDAP76DLCPNZEQOSZZV4CQ4LQS \
  | 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: c8c0fff86b13db9241d2ce6bc1438b84a5c5379fe83df045f8cbfe1394fb1209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e61b4f5c294f17ecb68c42a13aa2e4e4339a1cee74728ec5c1e8364490ccb37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-12T15:58:27Z",
    "title_canon_sha256": "cd4cc30d76f13597dde723c62076c0d5b13d08e60329430733f88024c32c9b34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2965",
    "kind": "arxiv",
    "version": 1
  }
}