Pith Number

pith:3YDAR4KW

pith:2026:3YDAR4KWNQ6GY7EBLW2WOE5LQU

not attested not anchored not stored refs pending

HK manifolds of Type $K3^{[a^2+1]}$ as moduli spaces of projective bundles on HK manifolds of Type $K3^{[2]}$

Kieran G. O'Grady

arxiv:2606.03775 v1 · 2026-06-02 · 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{3YDAR4KWNQ6GY7EBLW2WOE5LQU}

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	2026-06-03T02:06:02.142081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de0608f1566c3c6c7c815db56713ab851813a278970ffbc1777b2fb04981473f

Aliases

arxiv: 2606.03775 · arxiv_version: 2606.03775v1 · doi: 10.48550/arxiv.2606.03775 · pith_short_12: 3YDAR4KWNQ6G · pith_short_16: 3YDAR4KWNQ6GY7EB · pith_short_8: 3YDAR4KW

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/3YDAR4KWNQ6GY7EBLW2WOE5LQU \
  | 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: de0608f1566c3c6c7c815db56713ab851813a278970ffbc1777b2fb04981473f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804867c472dc06080b16d823d8b1de2789d63f65da0634036b309c5bb534a196",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-02T15:28:48Z",
    "title_canon_sha256": "0de26301793e2a44c0e7444c559ceae8783f16af9ea113afe309fb6c2fd7acf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03775",
    "kind": "arxiv",
    "version": 1
  }
}