Pith Number

pith:E3DY3AL4

pith:2024:E3DY3AL4QW2Q4VDUVBNBJZP3GC

not attested not anchored not stored refs pending

Rationality of singular cubic threefolds over $\mathbb R$

Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang

arxiv:2411.14379 v1 · 2024-11-21 · 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{E3DY3AL4QW2Q4VDUVBNBJZP3GC}

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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

On the rationality of some real threefolds

Receipt and verification

First computed	2026-07-05T09:38:46.110632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26c78d817c85b50e5474a85a14e5fb309f8e796af5f3700c3c53b437836c71d7

Aliases

arxiv: 2411.14379 · arxiv_version: 2411.14379v1 · doi: 10.48550/arxiv.2411.14379 · pith_short_12: E3DY3AL4QW2Q · pith_short_16: E3DY3AL4QW2Q4VDU · pith_short_8: E3DY3AL4

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/E3DY3AL4QW2Q4VDUVBNBJZP3GC \
  | 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: 26c78d817c85b50e5474a85a14e5fb309f8e796af5f3700c3c53b437836c71d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0554b7758002efa2a6b84419ee49ff99ba941def0e5ab50beebc1a100216f0f1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-11-21T18:13:05Z",
    "title_canon_sha256": "d72327979d4db6baf31dfd7c5a49c6d28f10460dc9f86c0fa83ad5b0ab59aa7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14379",
    "kind": "arxiv",
    "version": 1
  }
}