Pith Number

pith:PMITIJMQ

pith:2026:PMITIJMQMVHEZE7W6VDVFGVHNH

not attested not anchored not stored refs pending

Hasse-Witt invariants of Calabi-Yau varieties

Hossein Movasati, Jin Cao, Mohamed Elmi

Hasse-Witt invariants of Calabi-Yau varieties admit two definitions that the paper conjectures are equivalent.

arxiv:2603.03055 v2 · 2026-03-03 · math.AG · math-ph · math.MP · math.NT

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\usepackage{pith}
\pithnumber{PMITIJMQMVHEZE7W6VDVFGVHNH}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

We conjecture that these two definitions are equivalent and provide many examples of Calabi-Yau varieties in support of this conjecture.

C2weakest assumption

The examples chosen are representative enough that agreement on them implies the two definitions coincide for all Calabi-Yau varieties.

C3one line summary

Two independent definitions of the Hasse-Witt invariant for Calabi-Yau varieties are conjectured to coincide, backed by explicit examples.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:38:59.807371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b11342590654e4c93f6f547529aa769c7ec3a04502f5752137c398359691343

Aliases

arxiv: 2603.03055 · arxiv_version: 2603.03055v2 · doi: 10.48550/arxiv.2603.03055 · pith_short_12: PMITIJMQMVHE · pith_short_16: PMITIJMQMVHEZE7W · pith_short_8: PMITIJMQ

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/PMITIJMQMVHEZE7W6VDVFGVHNH \
  | 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: 7b11342590654e4c93f6f547529aa769c7ec3a04502f5752137c398359691343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a171e485a722fa7bba90704abcbfc70ebdd4198209bae1c42bacd298bc4fbd6c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-03-03T14:53:49Z",
    "title_canon_sha256": "1f7894537ba403c909b07a9c503adc048ac9cd2fcaf859cc387036204052599a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.03055",
    "kind": "arxiv",
    "version": 2
  }
}