Pith Number

pith:AYMDTWP2

pith:2014:AYMDTWP2VUHWS5UJOK2SIBVZ5M

not attested not anchored not stored refs pending

Nuclearity and Exactness for Groupoid Crossed Products

Scott M. LaLonde

arxiv:1406.1749 v1 · 2014-06-06 · 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{AYMDTWP2VUHWS5UJOK2SIBVZ5M}

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	2026-05-18T02:50:14.054617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

061839d9faad0f69768972b52406b9eb009485cb8d0f01b0218cd0bc42b40f98

Aliases

arxiv: 1406.1749 · arxiv_version: 1406.1749v1 · doi: 10.48550/arxiv.1406.1749 · pith_short_12: AYMDTWP2VUHW · pith_short_16: AYMDTWP2VUHWS5UJ · pith_short_8: AYMDTWP2

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/AYMDTWP2VUHWS5UJOK2SIBVZ5M \
  | 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: 061839d9faad0f69768972b52406b9eb009485cb8d0f01b0218cd0bc42b40f98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "346d88b23a100ac46e6a39a7acc8e5f66db6b1aa8e5adac642d904f82af761c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-06-06T17:29:10Z",
    "title_canon_sha256": "c261b69514e9ef1a6a81528635b891c40ffd434d68f5151406923138246088d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1749",
    "kind": "arxiv",
    "version": 1
  }
}