Pith Number

pith:GFQN2ONA

pith:2010:GFQN2ONAYOHY3AD6KTC4D6REHP

not attested not anchored not stored refs pending

On the birational geometry of Fano 4-folds

Cinzia Casagrande

arxiv:1010.4129 v2 · 2010-10-20 · 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{GFQN2ONAYOHY3AD6KTC4D6REHP}

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	2026-05-18T04:04:42.529214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3160dd39a0c38f8d807e54c5c1fa243bd755d34d2bb94c260260ec6f71f46f18

Aliases

arxiv: 1010.4129 · arxiv_version: 1010.4129v2 · doi: 10.48550/arxiv.1010.4129 · pith_short_12: GFQN2ONAYOHY · pith_short_16: GFQN2ONAYOHY3AD6 · pith_short_8: GFQN2ONA

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/GFQN2ONAYOHY3AD6KTC4D6REHP \
  | 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: 3160dd39a0c38f8d807e54c5c1fa243bd755d34d2bb94c260260ec6f71f46f18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1a78157edb58c652b98e75ef2f4a90a95e404b84b8acceb1191ab67ed0d537d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-20T08:42:02Z",
    "title_canon_sha256": "b058d0cbdd1a7bbff8d3691216601853ba65b9803e1b918b83c19c4e5eca39a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4129",
    "kind": "arxiv",
    "version": 2
  }
}