Pith Number

pith:LCKM2RHL

pith:2025:LCKM2RHLRLE5W6XBAGAO4HSTPK

not attested not anchored not stored refs pending

An extension of Haagerup's reduction theorem with applications to subdiagonal subalgebras of general von Neumann algebras

Louis Labuschagne, Quanhua Xu

arxiv:2506.06674 v1 · 2025-06-07 · 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{LCKM2RHLRLE5W6XBAGAO4HSTPK}

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	2026-07-05T11:17:53.816574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5894cd44eb8ac9db7ae10180ee1e537abd5e739f70d837d4e8b0412bf329901e

Aliases

arxiv: 2506.06674 · arxiv_version: 2506.06674v1 · doi: 10.48550/arxiv.2506.06674 · pith_short_12: LCKM2RHLRLE5 · pith_short_16: LCKM2RHLRLE5W6XB · pith_short_8: LCKM2RHL

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/LCKM2RHLRLE5W6XBAGAO4HSTPK \
  | 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: 5894cd44eb8ac9db7ae10180ee1e537abd5e739f70d837d4e8b0412bf329901e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6395bc7325ec74f24d810e93d4bf2ace77d27b94ce187ab14bf64363c52f64f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-06-07T05:52:37Z",
    "title_canon_sha256": "d16899d2adb1191813ccdd87599c1678ac5de65fef223d444010c3254c924afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06674",
    "kind": "arxiv",
    "version": 1
  }
}