Pith Number

pith:4JJE4YEH

pith:2009:4JJE4YEH6XCSOJ55HEDFI4UKMT

not attested not anchored not stored refs pending

Uniform vector bundles on Fano manifolds and applications

Gianluca Occhetta, Luis E. Sola Conde, Roberto Munoz

arxiv:0911.2606 v4 · 2009-11-13 · 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{4JJE4YEH6XCSOJ55HEDFI4UKMT}

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	2026-05-18T02:25:26.878943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2524e6087f5c52727bd390654728a64e520ae3999d411f1f8b77d023474c1bc

Aliases

arxiv: 0911.2606 · arxiv_version: 0911.2606v4 · doi: 10.48550/arxiv.0911.2606 · pith_short_12: 4JJE4YEH6XCS · pith_short_16: 4JJE4YEH6XCSOJ55 · pith_short_8: 4JJE4YEH

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/4JJE4YEH6XCSOJ55HEDFI4UKMT \
  | 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: e2524e6087f5c52727bd390654728a64e520ae3999d411f1f8b77d023474c1bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a646fa0b58c427fd3054f327db02b303edaeb214f1914b2b472d34ffb40390a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-13T13:11:48Z",
    "title_canon_sha256": "4aed1bbf4db36d184f81528c0365f9bb9c081e54af9392a500ca952f3fe78899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2606",
    "kind": "arxiv",
    "version": 4
  }
}