Pith Number

pith:ZF4W6CEE

pith:1999:ZF4W6CEEGWIWMQ6R4UZIQNXGTO

not attested not anchored not stored refs pending

Irreducibility of moduli spaces of vector bundles on K3 surfaces

Kota Yoshioka

arxiv:math/9907001 v2 · 1999-07-01 · 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{ZF4W6CEEGWIWMQ6R4UZIQNXGTO}

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.

Cited by

1 paper in Pith

Irreducible symplectic varieties via K3-del Pezzo double covers

Receipt and verification

First computed	2026-07-04T14:41:13.048432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9796f088435916643d1e5328836e69b89d45f2d70d6a6901e3e86b3ce867849

Aliases

arxiv: math/9907001 · arxiv_version: math/9907001v2 · doi: 10.48550/arxiv.math/9907001 · pith_short_12: ZF4W6CEEGWIW · pith_short_16: ZF4W6CEEGWIWMQ6R · pith_short_8: ZF4W6CEE

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/ZF4W6CEEGWIWMQ6R4UZIQNXGTO \
  | 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: c9796f088435916643d1e5328836e69b89d45f2d70d6a6901e3e86b3ce867849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7075ef76aef90d4fc30b205b97b77a28f231d036b396f6ab5e4578805029ca8a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-07-01T09:22:48Z",
    "title_canon_sha256": "80e9fdb3a44bd51270c521fc27d3374e4e0fe8419ab03b17219fac3d02e6faeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907001",
    "kind": "arxiv",
    "version": 2
  }
}