Pith Number

pith:ZTFTTAFQ

pith:2024:ZTFTTAFQTUN36NYLC7TIRMSGXQ

not attested not anchored not stored refs pending

The ideal structure of C*-algebras of etale groupoids with isotropy groups of local polynomial growth

Johannes Christensen, Sergey Neshveyev

arxiv:2412.11805 v4 · 2024-12-16 · math.OA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTFTTAFQTUN36NYLC7TIRMSGXQ}

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	2026-07-05T11:37:13.051885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cccb3980b09d1bbf370b17e688b246bc263c519cd2a16819f60810310fd13eef

Aliases

arxiv: 2412.11805 · arxiv_version: 2412.11805v4 · doi: 10.48550/arxiv.2412.11805 · pith_short_12: ZTFTTAFQTUN3 · pith_short_16: ZTFTTAFQTUN36NYL · pith_short_8: ZTFTTAFQ

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/ZTFTTAFQTUN36NYLC7TIRMSGXQ \
  | 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: cccb3980b09d1bbf370b17e688b246bc263c519cd2a16819f60810310fd13eef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f3534e45e9e950683bddff5d57dd839ca35cff64e1aeab5bd51fed5ed86cc00",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-12-16T14:15:52Z",
    "title_canon_sha256": "9435499edf1a8283177fb4f2e965461fa274adf3208f0f269d7dc9cecda30bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11805",
    "kind": "arxiv",
    "version": 4
  }
}