Pith Number

pith:OQACIVZ3

pith:2010:OQACIVZ3MWBFEOL7NOY6PKTC2M

not attested not anchored not stored refs pending

Equations for secant varieties via vector bundles

G. Ottaviani, J.M. Landsberg

arxiv:1010.1825 v2 · 2010-10-09 · 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{OQACIVZ3MWBFEOL7NOY6PKTC2M}

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	2026-05-18T04:07:19.905858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

740024573b658252397f6bb1e7aa62d334a8873a326f10b5601dc198daf0d235

Aliases

arxiv: 1010.1825 · arxiv_version: 1010.1825v2 · doi: 10.48550/arxiv.1010.1825 · pith_short_12: OQACIVZ3MWBF · pith_short_16: OQACIVZ3MWBFEOL7 · pith_short_8: OQACIVZ3

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/OQACIVZ3MWBFEOL7NOY6PKTC2M \
  | 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: 740024573b658252397f6bb1e7aa62d334a8873a326f10b5601dc198daf0d235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b191a1bd05a3c3f7e21813d69c798d548877e742f23dd32565e0582f2ff4f453",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-09T10:01:32Z",
    "title_canon_sha256": "5c3aa9aa6a5242cdce4e4501635161a1014a39758e2d5c293e8537eafcba3a56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1825",
    "kind": "arxiv",
    "version": 2
  }
}