Pith Number

pith:MC6BY54A

pith:2016:MC6BY54A7L4OU7NW4TQMALB2BJ

not attested not anchored not stored refs pending

Commutants of weighted shift directed graph operator algebras

David W. Kribs, Rupert H. Levene, Stephen C. Power

arxiv:1605.03758 v2 · 2016-05-12 · 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{MC6BY54A7L4OU7NW4TQMALB2BJ}

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	2026-05-18T00:07:44.012836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60bc1c7780faf8ea7db6e4e0c02c3a0a61eb120ab534722ae525ef6bf8a4750a

Aliases

arxiv: 1605.03758 · arxiv_version: 1605.03758v2 · doi: 10.48550/arxiv.1605.03758 · pith_short_12: MC6BY54A7L4O · pith_short_16: MC6BY54A7L4OU7NW · pith_short_8: MC6BY54A

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/MC6BY54A7L4OU7NW4TQMALB2BJ \
  | 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: 60bc1c7780faf8ea7db6e4e0c02c3a0a61eb120ab534722ae525ef6bf8a4750a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "904c81af392e3f101c3000ecb1e892bfb2c53d861f4ea99295f3904885f3fd4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-12T11:03:47Z",
    "title_canon_sha256": "847a76784979b38ac416a70e0acf8fe204593467c041b251c106e3478efaaff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03758",
    "kind": "arxiv",
    "version": 2
  }
}