Pith Number

pith:5JQOJF2M

pith:2014:5JQOJF2MMLDSPJ56U5EG7YRJSB

not attested not anchored not stored refs pending

Varieties of general type with the same Betti numbers as $\mathbb P^1\times \mathbb P^1\times\ldots\times \mathbb P^1$

Amir D\v{z}ambi\'c

arxiv:1411.3384 v1 · 2014-11-12 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JQOJF2MMLDSPJ56U5EG7YRJSB}

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	2026-05-18T02:37:43.915950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea60e4974c62c727a7bea7486fe229905cbdc3ceb87408e1fe17784f3dda1d9b

Aliases

arxiv: 1411.3384 · arxiv_version: 1411.3384v1 · doi: 10.48550/arxiv.1411.3384 · pith_short_12: 5JQOJF2MMLDS · pith_short_16: 5JQOJF2MMLDSPJ56 · pith_short_8: 5JQOJF2M

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/5JQOJF2MMLDSPJ56U5EG7YRJSB \
  | 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: ea60e4974c62c727a7bea7486fe229905cbdc3ceb87408e1fe17784f3dda1d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c80558de5cb27246754208251366160861537844dd6a743ad2fdbdfe4190a302",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-12T22:39:18Z",
    "title_canon_sha256": "403c8fcb69bfccb6da05bec1ccded4de2b197e9f4340d676da11f58989d5958d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3384",
    "kind": "arxiv",
    "version": 1
  }
}