Pith Number

pith:LJJUF52Q

pith:2010:LJJUF52QCQ2VGSYK2SIQKMMVXY

not attested not anchored not stored refs pending

Fano symmetric varieties with low rank

Alessandro Ruzzi

arxiv:1012.4171 v1 · 2010-12-19 · 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{LJJUF52QCQ2VGSYK2SIQKMMVXY}

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	2026-05-18T04:32:54.273297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a5342f7501435534b0ad491053195be238f8175e75bf159769cb52a2cf41fdd

Aliases

arxiv: 1012.4171 · arxiv_version: 1012.4171v1 · doi: 10.48550/arxiv.1012.4171 · pith_short_12: LJJUF52QCQ2V · pith_short_16: LJJUF52QCQ2VGSYK · pith_short_8: LJJUF52Q

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/LJJUF52QCQ2VGSYK2SIQKMMVXY \
  | 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: 5a5342f7501435534b0ad491053195be238f8175e75bf159769cb52a2cf41fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135a065efdf12402f54cad89aab82067790a0a9e57837865a8385ecf56875821",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-19T14:17:46Z",
    "title_canon_sha256": "2c2dd0dc1dac252fa8eb7004cacfcda78fa41da91c2110b55fa7f3e92c5c8b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4171",
    "kind": "arxiv",
    "version": 1
  }
}