Pith Number

pith:UR4QJBKO

pith:2011:UR4QJBKOFLDOSJTP56ZAU5EXGF

not attested not anchored not stored refs pending

Uniqueness of group-measure space Cartan subalgebras

David Kyed

arxiv:1110.3508 v1 · 2011-10-16 · 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{UR4QJBKOFLDOSJTP56ZAU5EXGF}

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	2026-05-18T04:10:49.010813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a47904854e2ac6e9266fefb20a74973150b04f794e8a137739993430391fd637

Aliases

arxiv: 1110.3508 · arxiv_version: 1110.3508v1 · doi: 10.48550/arxiv.1110.3508 · pith_short_12: UR4QJBKOFLDO · pith_short_16: UR4QJBKOFLDOSJTP · pith_short_8: UR4QJBKO

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/UR4QJBKOFLDOSJTP56ZAU5EXGF \
  | 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: a47904854e2ac6e9266fefb20a74973150b04f794e8a137739993430391fd637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75fecd5c01a781182e9901d98e1edccdf26743bf4f7c5e3a1f7198ed127ef8eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-10-16T18:11:50Z",
    "title_canon_sha256": "a878100496ed949aa59c2d6d5d51f086879fd4f77ae0a7089aa1e632d228d358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3508",
    "kind": "arxiv",
    "version": 1
  }
}