Pith Number

pith:ZYS6ZBCT

pith:2025:ZYS6ZBCTAM3F4TMALO7SXKHKUO

not attested not anchored not stored refs pending

Non-commutative Intermediate Factor theorem associated with $W^*$-dynamics of product groups

Shuoxing Zhou, Tattwamasi Amrutam, Yongle Jiang

arxiv:2508.18978 v1 · 2025-08-26 · math.OA · math.DS · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYS6ZBCTAM3F4TMALO7SXKHKUO}

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.

Cited by

1 paper in Pith

Factors with prescribed number of invariant subalgebras not arising from subgroups

Receipt and verification

First computed	2026-07-05T11:59:34.876605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce25ec845303365e4d805bbf2ba8eaa384deb31e1e8a8876ac5f56356ae3d97a

Aliases

arxiv: 2508.18978 · arxiv_version: 2508.18978v1 · doi: 10.48550/arxiv.2508.18978 · pith_short_12: ZYS6ZBCTAM3F · pith_short_16: ZYS6ZBCTAM3F4TMA · pith_short_8: ZYS6ZBCT

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/ZYS6ZBCTAM3F4TMALO7SXKHKUO \
  | 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: ce25ec845303365e4d805bbf2ba8eaa384deb31e1e8a8876ac5f56356ae3d97a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ef477a92525d1ca6703af4fe6fbfa1d12b80929ad36eee48f92a1213da0998",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA",
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-08-26T12:25:49Z",
    "title_canon_sha256": "9284bed6f8b7a0c7cc507d210fc1d240ca8a67be6a2c911869cf880e5c1a5697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18978",
    "kind": "arxiv",
    "version": 1
  }
}