Pith Number

pith:Z73FFM53

pith:2026:Z73FFM53ONHYCAZUNBTQCOE56S

not attested not anchored not stored refs pending

Quantum cohomology and irrationality of Gushel-Mukai fourfolds

Laurent Manivel (I2M), Nicolas Perrin (CMLS), Vladimiro Benedetti (LJAD)

arxiv:2603.17487 v2 · 2026-03-18 · 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{Z73FFM53ONHYCAZUNBTQCOE56S}

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	2026-05-28T01:04:38.604407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff652b3bb734f810334686701389df4bf7a0c7b2a009322344ba65a4874d03a

Aliases

arxiv: 2603.17487 · arxiv_version: 2603.17487v2 · doi: 10.48550/arxiv.2603.17487 · pith_short_12: Z73FFM53ONHY · pith_short_16: Z73FFM53ONHYCAZU · pith_short_8: Z73FFM53

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/Z73FFM53ONHYCAZUNBTQCOE56S \
  | 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: cff652b3bb734f810334686701389df4bf7a0c7b2a009322344ba65a4874d03a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf1443cb987bf7cda3901d8b0d5eeeeb6e5ef74ac401d6d1fd267b2dccec47d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-03-18T08:51:53Z",
    "title_canon_sha256": "a67913532a702704c1676526be34bbce2572ecf783b2b04b85b49f44576d57f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.17487",
    "kind": "arxiv",
    "version": 2
  }
}