Pith Number

pith:37NR3JBJ

pith:2012:37NR3JBJQHJYPSWK7LFDW7FQET

not attested not anchored not stored refs pending

On higher rank globally generated vector bundles over a smooth quadric threefold

Edoardo Ballico, Francesco Malaspina, Sukmoon Huh

arxiv:1211.2593 v2 · 2012-11-12 · 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{37NR3JBJQHJYPSWK7LFDW7FQET}

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	2026-05-18T03:38:34.092335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfdb1da42981d387cacafaca3b7cb024dc7e444fe619cf9f3b0cf3e9342fc920

Aliases

arxiv: 1211.2593 · arxiv_version: 1211.2593v2 · doi: 10.48550/arxiv.1211.2593 · pith_short_12: 37NR3JBJQHJY · pith_short_16: 37NR3JBJQHJYPSWK · pith_short_8: 37NR3JBJ

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/37NR3JBJQHJYPSWK7LFDW7FQET \
  | 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: dfdb1da42981d387cacafaca3b7cb024dc7e444fe619cf9f3b0cf3e9342fc920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbf84fcf4d3253e30aae9c3c4b83649036f1d53adf21b425f60bd48ec39e2ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-12T12:40:30Z",
    "title_canon_sha256": "21cea680a922b2a2048db3f3fd9d58d63f14bab3bfa13c10d3aa5243c966dea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2593",
    "kind": "arxiv",
    "version": 2
  }
}