Pith Number

pith:5KWEQK3H

pith:2005:5KWEQK3HDBBTO472LQBV7ARGJD

not attested not anchored not stored refs pending

Abelian subalgebras of von Neumann algebras from flat tori in locally symmetric spaces

Guyan Robertson

arxiv:math/0504362 v1 · 2005-04-18 · math.OA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KWEQK3HDBBTO472LQBV7ARGJD}

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	2026-05-18T03:32:45.925046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaac482b6718433773fa5c035f822648dc0302210f2462dfecfb93eb4e99b2c5

Aliases

arxiv: math/0504362 · arxiv_version: math/0504362v1 · doi: 10.48550/arxiv.math/0504362 · pith_short_12: 5KWEQK3HDBBT · pith_short_16: 5KWEQK3HDBBTO472 · pith_short_8: 5KWEQK3H

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/5KWEQK3HDBBTO472LQBV7ARGJD \
  | 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: eaac482b6718433773fa5c035f822648dc0302210f2462dfecfb93eb4e99b2c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90413bf69fd483903c3697395cc3f48bb72d3aef9aeac40f1601288341b7a7e8",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-04-18T14:46:41Z",
    "title_canon_sha256": "6d73545caac276b84430b6a3a6e9437282e228aa706bd7288d12229cefe451ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504362",
    "kind": "arxiv",
    "version": 1
  }
}