Pith Number

pith:MG2YHSDN

pith:2026:MG2YHSDNEXLT7CIBJXKH3EGMLA

not attested not anchored not stored refs pending

Relation between Anderson Generating Functions and Weil Pairing

Chuangqiang Hu, Yixuan Ou-Yang

The rank-r Weil pairing equals a specific coefficient in the Moore determinant of Anderson generating functions.

arxiv:2604.04124 v2 · 2026-04-05 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MG2YHSDNEXLT7CIBJXKH3EGMLA}

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.

Claims

C1strongest claim

the value of the rank-r Weil pairing is essentially the specific coefficient in the Moore determinant of certain Anderson generating functions.

C2weakest assumption

That the Weil operator connects directly to the remainder polynomial of Anderson generating functions modulo a fixed polynomial f, via the Moore determinant arising from Hamahata's tensor product and the torsion bases of Maurischat and Perkins.

C3one line summary

The rank-r Weil pairing for Drinfeld modules equals a specific coefficient in the Moore determinant of certain Anderson generating functions.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-29T01:05:08.672511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b583c86d25d73f89014dd47d90cc58363df4f4cd8ebf5032e61574b738c4cb

Aliases

arxiv: 2604.04124 · arxiv_version: 2604.04124v2 · doi: 10.48550/arxiv.2604.04124 · pith_short_12: MG2YHSDNEXLT · pith_short_16: MG2YHSDNEXLT7CIB · pith_short_8: MG2YHSDN

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/MG2YHSDNEXLT7CIBJXKH3EGMLA \
  | 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: 61b583c86d25d73f89014dd47d90cc58363df4f4cd8ebf5032e61574b738c4cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce33fb723e78f0071f72581f375b2b4f5a1a06133856447b70a011e8dedc73a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-04-05T13:55:41Z",
    "title_canon_sha256": "bceb28784b4bff327a7aa1974ea6c68151df3984914078489579dbf08809c311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.04124",
    "kind": "arxiv",
    "version": 2
  }
}