Pith Number

pith:U6EQMZDE

pith:2017:U6EQMZDEYAPQOBXFQ44VH4WIE3

not attested not anchored not stored refs pending

Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra

Dmitriy Zanin, Fedor Sukochev, Ian Charlesworth, Ken Dykema

arxiv:1703.05695 v3 · 2017-03-16 · 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{U6EQMZDEYAPQOBXFQ44VH4WIE3}

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	2026-05-17T23:46:31.164093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a789066464c01f0706e5873953f2c826e9e5af79d73145275ffc82d942117618

Aliases

arxiv: 1703.05695 · arxiv_version: 1703.05695v3 · doi: 10.48550/arxiv.1703.05695 · pith_short_12: U6EQMZDEYAPQ · pith_short_16: U6EQMZDEYAPQOBXF · pith_short_8: U6EQMZDE

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/U6EQMZDEYAPQOBXFQ44VH4WIE3 \
  | 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: a789066464c01f0706e5873953f2c826e9e5af79d73145275ffc82d942117618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5eb190202f176533598e42b12aa143f044edee99ac54274480c0dc6d9a07bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-03-16T16:12:17Z",
    "title_canon_sha256": "3c0156dd995ef38575ca318f6310c9305a0632a92a9676cd36f01d0c3c7e1942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05695",
    "kind": "arxiv",
    "version": 3
  }
}