Pith Number

pith:ZVV6OB2E

pith:2026:ZVV6OB2E5PJD5EON2NTRJHCOYU

not attested not anchored not stored refs pending

Families of smooth Fano fourfolds of Picard rank 1 without Bott vanishing

Jiahe Wang

arxiv:2606.13466 v1 · 2026-06-11 · 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{ZVV6OB2E5PJD5EON2NTRJHCOYU}

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	2026-06-12T01:10:04.040119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd6be70744ebd23e91cdd367149c4ec500a21f4776ba58f2e7a0b17a73018503

Aliases

arxiv: 2606.13466 · arxiv_version: 2606.13466v1 · doi: 10.48550/arxiv.2606.13466 · pith_short_12: ZVV6OB2E5PJD · pith_short_16: ZVV6OB2E5PJD5EON · pith_short_8: ZVV6OB2E

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/ZVV6OB2E5PJD5EON2NTRJHCOYU \
  | 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: cd6be70744ebd23e91cdd367149c4ec500a21f4776ba58f2e7a0b17a73018503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2528e0947937716baa3aec7d9956621680e594236c5391ef0f80774fd8db1242",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-11T15:19:16Z",
    "title_canon_sha256": "2679c4a24692b359ac0b2f2996e6de3a0b6f040516afc5554ef45f31ef6ac810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13466",
    "kind": "arxiv",
    "version": 1
  }
}