Pith Number

pith:UT4ZYN7A

pith:2025:UT4ZYN7A3UVEQWXW6V3IC2J4BK

not attested not anchored not stored refs pending

Multiplier varieties and multiplier algebras of CNP Dirichlet series kernels

B. Krishna Das, Chaman Kumar Sahu, Hamidul Ahmed

arxiv:2507.21537 v3 · 2025-07-29 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UT4ZYN7A3UVEQWXW6V3IC2J4BK}

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.

Receipt and verification

First computed	2026-05-17T23:39:01.176656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f99c37e0dd2a485af6f57681693c0a8e4bd212193bd3a02650ab83ef3dc309

Aliases

arxiv: 2507.21537 · arxiv_version: 2507.21537v3 · doi: 10.48550/arxiv.2507.21537 · pith_short_12: UT4ZYN7A3UVE · pith_short_16: UT4ZYN7A3UVEQWXW · pith_short_8: UT4ZYN7A

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/UT4ZYN7A3UVEQWXW6V3IC2J4BK \
  | 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: a4f99c37e0dd2a485af6f57681693c0a8e4bd212193bd3a02650ab83ef3dc309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9e25e203e4ae400ac1acf6da205d24037f4ddb1d3190b0b8b350427d68d17b",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-07-29T07:10:59Z",
    "title_canon_sha256": "5a34d2c5373f7bbf46d8b42ce046af88c62c58a6ad80814b8944f82b4e119335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21537",
    "kind": "arxiv",
    "version": 3
  }
}