Pith Number

pith:4HXE44FP

pith:2011:4HXE44FPCERBLYW3FAYNWYTGHY

not attested not anchored not stored refs pending

On rank 2 vector bundles on Fano manifolds

Gianluca Occhetta, Luis Sol\'a Conde, Roberto Mu\~noz

arxiv:1104.1490 v4 · 2011-04-08 · 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{4HXE44FPCERBLYW3FAYNWYTGHY}

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	2026-05-18T01:28:22.044561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ee4e70af112215e2db2830db62663e0a5bbba35fccaf51c0d6d9fbce87f1ad

Aliases

arxiv: 1104.1490 · arxiv_version: 1104.1490v4 · doi: 10.48550/arxiv.1104.1490 · pith_short_12: 4HXE44FPCERB · pith_short_16: 4HXE44FPCERBLYW3 · pith_short_8: 4HXE44FP

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/4HXE44FPCERBLYW3FAYNWYTGHY \
  | 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: e1ee4e70af112215e2db2830db62663e0a5bbba35fccaf51c0d6d9fbce87f1ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c519eae8076a2b21df347d68c7331f474c3f09b8c06ba93fde0ddf0ac31ca100",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-08T05:49:27Z",
    "title_canon_sha256": "7ca62fcb3cc7a78474667d3ae337ae6dc78927021816450cdc0956995c7e312c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1490",
    "kind": "arxiv",
    "version": 4
  }
}