Pith Number

pith:24LDYUO6

pith:2019:24LDYUO6FQG7T4RY2LBWWA7KJN

not attested not anchored not stored refs pending

Rationality of Fano threefolds of degree 18 over nonclosed fields

Brendan Hassett, Yuri Tschinkel

arxiv:1910.13816 v1 · 2019-10-30 · 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{24LDYUO6FQG7T4RY2LBWWA7KJN}

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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.

Cited by

1 paper in Pith

A rationality criterion for real Fano threefolds

Receipt and verification

First computed	2026-07-05T00:15:56.549461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7163c51de2c0df9f238d2c36b03ea4b5ae3044465a1f452db44c94e6b6cf4d3

Aliases

arxiv: 1910.13816 · arxiv_version: 1910.13816v1 · doi: 10.48550/arxiv.1910.13816 · pith_short_12: 24LDYUO6FQG7 · pith_short_16: 24LDYUO6FQG7T4RY · pith_short_8: 24LDYUO6

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/24LDYUO6FQG7T4RY2LBWWA7KJN \
  | 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: d7163c51de2c0df9f238d2c36b03ea4b5ae3044465a1f452db44c94e6b6cf4d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "479ea5045bb78ebe3a752f7dab29740489ae0f615c2e88534fcc1cacddd539ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-10-30T12:55:05Z",
    "title_canon_sha256": "a293e934d6a4c82d5b7ca6ca026f56802d8a7727463bfdd8e5f4675e63e83d28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.13816",
    "kind": "arxiv",
    "version": 1
  }
}