Pith Number

pith:SRBJKAXO

pith:2026:SRBJKAXOCZ77ZYMF3M2TUG6LFQ

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Duality of analytic Hopf algebras and the Amice transform

Luca Collauto

Analytic Hopf algebras for Amice duality can be built over any Banach ring without depending on a prime p.

arxiv:2605.16063 v1 · 2026-05-15 · math.NT · math.AG · math.FA

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Record completeness

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4 Citations 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

When R is the ring of integers with the trivial norm, we obtain a global analytic version of Amice duality that does not depend on p.

C2weakest assumption

The generalized Kothe echelon and coechelon spaces over an arbitrary Banach ring R satisfy the reflexivity and nuclearity properties required to support an analytic Hopf algebra structure and its duality theory.

C3one line summary

Constructs global analytic Hopf algebras on generalized Kothe spaces over arbitrary Banach rings, proves reflexivity and nuclearity, and obtains a p-independent version of Amice duality via base change.

References

17 extracted · 17 resolved · 0 Pith anchors

[1] 2007 , doi = 2007

[2] 2016 , issn = 2016 · doi:10.1016/j.jnt.2015.10.023

[3] Oren Ben-Bassat and Kobi Kremnizer , journal=. Fr. 2023 , url= 2023

[4] 1989 , issn = 1989 · doi:10.1016/0022-4049(89)90028-5

[5] 2024 , journal = 2024 · doi:10.1112/jlms.12855

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:51.158592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94429502ee167ffce185db353a1bcb2c380e58828a339d0b004d670dfecc132f

Aliases

arxiv: 2605.16063 · arxiv_version: 2605.16063v1 · doi: 10.48550/arxiv.2605.16063 · pith_short_12: SRBJKAXOCZ77 · pith_short_16: SRBJKAXOCZ77ZYMF · pith_short_8: SRBJKAXO

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SRBJKAXOCZ77ZYMF3M2TUG6LFQ \
  | 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: 94429502ee167ffce185db353a1bcb2c380e58828a339d0b004d670dfecc132f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a36ff1a1aa094ecd76c23ca87ca6eeed7049ae0ed1e89bccdac3a615b1ef1bad",
    "cross_cats_sorted": [
      "math.AG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-15T15:28:06Z",
    "title_canon_sha256": "f435161c046682c0dc869eebbf558bbf5178832ac621849fb147cc0758cbabad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16063",
    "kind": "arxiv",
    "version": 1
  }
}