Pith Number

pith:CMBOYWV3

pith:2014:CMBOYWV3YRCZI3HYSFSV2SK5FT

not attested not anchored not stored refs pending

Crossed products and twisted $k$-graph algebras

Alex Kumjian, David Pask, Nathan Brownlowe, Valentin Deaconu

arxiv:1407.6427 v1 · 2014-07-24 · 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{CMBOYWV3YRCZI3HYSFSV2SK5FT}

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	2026-05-18T02:46:38.746585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1302ec5abbc445946cf891655d495d2ccedafe674f7b790eab74bed36fd6d73f

Aliases

arxiv: 1407.6427 · arxiv_version: 1407.6427v1 · doi: 10.48550/arxiv.1407.6427 · pith_short_12: CMBOYWV3YRCZ · pith_short_16: CMBOYWV3YRCZI3HY · pith_short_8: CMBOYWV3

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/CMBOYWV3YRCZI3HYSFSV2SK5FT \
  | 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: 1302ec5abbc445946cf891655d495d2ccedafe674f7b790eab74bed36fd6d73f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f534794bf35c146c85e6bb8784ec1c514255f341676ab806a75f6a9143349e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-07-24T02:20:21Z",
    "title_canon_sha256": "73d08577a36c059ab98f7240c68ad6bfd62d5f20248f026efc0e87bdc08fa2a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6427",
    "kind": "arxiv",
    "version": 1
  }
}