Pith Number

pith:KQOOFT3A

pith:2026:KQOOFT3AUXH3HCZMMDLTVWCGHK

not attested not anchored not stored refs pending

Notes on the Kuznetsov component of cubic sevenfolds

Peize Liu

arxiv:2607.28784 v1 · 2026-07-30 · 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{KQOOFT3AUXH3HCZMMDLTVWCGHK}

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	2026-08-03T00:12:52.429758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

541ce2cf60a5cfb38b2c60d73ad8463a97d9bbf73e31c5e23802f8389c90a437

Aliases

arxiv: 2607.28784 · arxiv_version: 2607.28784v1 · doi: 10.48550/arxiv.2607.28784 · pith_short_12: KQOOFT3AUXH3 · pith_short_16: KQOOFT3AUXH3HCZM · pith_short_8: KQOOFT3A

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/KQOOFT3AUXH3HCZMMDLTVWCGHK \
  | 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: 541ce2cf60a5cfb38b2c60d73ad8463a97d9bbf73e31c5e23802f8389c90a437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b8d5e0c123eee76283f0e9b62dd7086ef235e4dc5fb2c43574b105cbca0ff2d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-30T19:15:28Z",
    "title_canon_sha256": "189497df12ef5b3615c01608c940ca03be0e4dc483c49baec9f1022b53607347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28784",
    "kind": "arxiv",
    "version": 1
  }
}