Pith Number

pith:RYXVBPAD

pith:2017:RYXVBPAD657XGQ3UHMDTCI6F7I

not attested not anchored not stored refs pending

Hybrid Normed Ideal Perturbations of n-tuples of Operators I

Dan-Virgil Voiculescu

arxiv:1711.05883 v2 · 2017-11-16 · math.OA · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYXVBPAD657XGQ3UHMDTCI6F7I}

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	2026-05-18T00:19:25.225151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e2f50bc03f77f7343743b073123c5fa2c0887b718993ebd8ac9674322257c89

Aliases

arxiv: 1711.05883 · arxiv_version: 1711.05883v2 · doi: 10.48550/arxiv.1711.05883 · pith_short_12: RYXVBPAD657X · pith_short_16: RYXVBPAD657XGQ3U · pith_short_8: RYXVBPAD

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/RYXVBPAD657XGQ3UHMDTCI6F7I \
  | 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: 8e2f50bc03f77f7343743b073123c5fa2c0887b718993ebd8ac9674322257c89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dccac96a36e7c5b5b3bd769d75ed4609842ca1af638c446e89d00dfefbcc9962",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-11-16T01:27:43Z",
    "title_canon_sha256": "00853d5a581bb15165989f730d52f4278285db9358e83c55c7335805bb378872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05883",
    "kind": "arxiv",
    "version": 2
  }
}