Pith Number

pith:DRDR6NGP

pith:2013:DRDR6NGP2VC4QOQSAKYUCSIEW5

not attested not anchored not stored refs pending

Unitary operators in the orthogonal complement of a type $\mathrm{I}$ von Neumann algebra in a type $\mathrm{II}^{}_{1}$ factor

Rui Shi, Xiaoyan Zhou

arxiv:1308.0676 v1 · 2013-08-03 · 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{DRDR6NGP2VC4QOQSAKYUCSIEW5}

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	2026-05-18T03:16:48.547106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c471f34cfd545c83a1202b1414904b75be322e7c4a0f75b15c4184652d82552

Aliases

arxiv: 1308.0676 · arxiv_version: 1308.0676v1 · doi: 10.48550/arxiv.1308.0676 · pith_short_12: DRDR6NGP2VC4 · pith_short_16: DRDR6NGP2VC4QOQS · pith_short_8: DRDR6NGP

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/DRDR6NGP2VC4QOQSAKYUCSIEW5 \
  | 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: 1c471f34cfd545c83a1202b1414904b75be322e7c4a0f75b15c4184652d82552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb4d137ce84ccf7633d8eb5f0405b0b879870636e9de644cc263402eb8d0ab3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-08-03T09:04:35Z",
    "title_canon_sha256": "873c75e91547849bc6b1ee571e73308a3b6accc0c5e9890d5bfbf20deef4a910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0676",
    "kind": "arxiv",
    "version": 1
  }
}