Pith Number

pith:OHBM6QS5

pith:2026:OHBM6QS54CLZKEDRVJRKO5CWN5

not attested not anchored not stored refs resolved

Moment problems on compacts of characters of an unital commutative algebra

Dragu Atanasiu

Nonnegative functionals on Archimedean cones admit integral representations without semiring or quadratic-module assumptions.

arxiv:2605.16124 v1 · 2026-05-15 · math.FA

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Record completeness

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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 give an integral representation of a nonnegative functional on an Archimedean cone where we do not assume that this cone is a semiring or a quadratic module.

C2weakest assumption

The cone under consideration is Archimedean; this property is invoked to obtain the integral representation once the semiring and quadratic-module assumptions are dropped.

C3one line summary

Provides integral representation of nonnegative functionals on Archimedean cones without semiring or quadratic module assumptions and solves moment problems on compacts of characters.

References

27 extracted · 27 resolved · 0 Pith anchors

[2] Atanasiu, Dragu , TITLE =. C. R. Acad. Sci. Paris S\'er. I Math. , FJOURNAL =. 1987 , NUMBER = 1987

[3] Sur les fonctions compl

[4] Schm. Chapter 12:. 2023 , howpublished = 2023

[5] The moment problem , fseries = 2017 · doi:10.1007/978-3-319-64546-9

[10] 2008 , publisher = 2008

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:53.862717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71c2cf425de097951071aa62a774566f59b444054bdd0ee591dda46c5ecbc665

Aliases

arxiv: 2605.16124 · arxiv_version: 2605.16124v1 · doi: 10.48550/arxiv.2605.16124 · pith_short_12: OHBM6QS54CLZ · pith_short_16: OHBM6QS54CLZKEDR · pith_short_8: OHBM6QS5

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OHBM6QS54CLZKEDRVJRKO5CWN5 \
  | 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: 71c2cf425de097951071aa62a774566f59b444054bdd0ee591dda46c5ecbc665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93fcd20ea2d2bc2dae81250fc83f27bf0439e53dcbb63fa81e9d2b75a3537b84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-15T16:10:03Z",
    "title_canon_sha256": "38729e8dc325d7bf5c6e6058f775347824e87b7a31cbe2f17dfbc2a77d208fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16124",
    "kind": "arxiv",
    "version": 1
  }
}