Pith Number

pith:556VQSGW

pith:2010:556VQSGWVINXWKSQKR7Z5DZ2WP

not attested not anchored not stored refs pending

On irreducible symplectic 4-folds numerically equivalent to $(K3)^{[2]}$

Grzegorz Kapustka

arxiv:1004.3177 v4 · 2010-04-19 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{556VQSGWVINXWKSQKR7Z5DZ2WP}

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	2026-05-18T01:04:42.007193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7d5848d6aa1b7b2a50547f9e8f3ab3e40503ad847c29935a49125eba97d9a1

Aliases

arxiv: 1004.3177 · arxiv_version: 1004.3177v4 · doi: 10.48550/arxiv.1004.3177 · pith_short_12: 556VQSGWVINX · pith_short_16: 556VQSGWVINXWKSQ · pith_short_8: 556VQSGW

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/556VQSGWVINXWKSQKR7Z5DZ2WP \
  | 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: ef7d5848d6aa1b7b2a50547f9e8f3ab3e40503ad847c29935a49125eba97d9a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13a349ae5ee7252f1a0ddfcd3aacdc45c588a70601f51a9dc3d9ccb2ff04c4bd",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-19T12:45:11Z",
    "title_canon_sha256": "2984a52b7c2624a4625d1e4b9d55d56c9b37d684be6f6761841ad4c27a3ab355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3177",
    "kind": "arxiv",
    "version": 4
  }
}