Pith Number

pith:Z6YTUXJC

pith:2025:Z6YTUXJC6TGBV3PPFVL7PQQ2RG

not attested not anchored not stored refs pending

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs

Nguyen Duy T\^an, Tung T. Nguyen

arxiv:2508.10348 v1 · 2025-08-14 · 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{Z6YTUXJC6TGBV3PPFVL7PQQ2RG}

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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

✓ 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.

Cited by

1 paper in Pith

Sums of units in finite rings and applications to Cayley graphs

Receipt and verification

First computed	2026-07-05T11:53:54.341176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb13a5d22f4cc1aedef2d57f7c21a898fb49cd090a56855c5133cdb5ef234c2

Aliases

arxiv: 2508.10348 · arxiv_version: 2508.10348v1 · doi: 10.48550/arxiv.2508.10348 · pith_short_12: Z6YTUXJC6TGB · pith_short_16: Z6YTUXJC6TGBV3PP · pith_short_8: Z6YTUXJC

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/Z6YTUXJC6TGBV3PPFVL7PQQ2RG \
  | 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: cfb13a5d22f4cc1aedef2d57f7c21a898fb49cd090a56855c5133cdb5ef234c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de6a83d4f8eb7c8f98ed16c716afcdfd085373a392cec50ae0170f3a9aec23e6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-14T05:11:30Z",
    "title_canon_sha256": "89f2d511cc712b6b630a71d6e5ec5dd15b58d0e061a85cb50cdff9fbab9be841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.10348",
    "kind": "arxiv",
    "version": 1
  }
}