Pith Number

pith:3LUMO2PI

pith:2013:3LUMO2PIRVPLH7M7AEWLCWVCJ5

not attested not anchored not stored refs pending

Maximal abelian subalgebras of the group factor of an $\widetilde A_2$ group

Guyan Robertson, Tim Steger

arxiv:1302.5926 v1 · 2013-02-24 · 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{3LUMO2PIRVPLH7M7AEWLCWVCJ5}

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	2026-05-18T03:32:33.251904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae8c769e88d5eb3fd9f012cb15aa24f488947b7d50df1fbada5e1c66874f350

Aliases

arxiv: 1302.5926 · arxiv_version: 1302.5926v1 · doi: 10.48550/arxiv.1302.5926 · pith_short_12: 3LUMO2PIRVPL · pith_short_16: 3LUMO2PIRVPLH7M7 · pith_short_8: 3LUMO2PI

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/3LUMO2PIRVPLH7M7AEWLCWVCJ5 \
  | 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: dae8c769e88d5eb3fd9f012cb15aa24f488947b7d50df1fbada5e1c66874f350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf02f33c702ef37ff087846fd8176b236e68932cb91a4918dd8cd2219defbc26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-02-24T16:43:17Z",
    "title_canon_sha256": "90a8b6b2d7f142a18df27596973f70087b27690db43771ee3af3e6010bca6832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5926",
    "kind": "arxiv",
    "version": 1
  }
}