Pith Number

pith:VLOHXJGF

pith:2010:VLOHXJGFVN7RQBU5VH7V2LORUW

not attested not anchored not stored refs pending

An approximation theorem for nuclear operator systems

Kyung Hoon Han, Vern I. Paulsen

arxiv:1009.2541 v4 · 2010-09-14 · 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{VLOHXJGFVN7RQBU5VH7V2LORUW}

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	2026-05-18T04:22:50.033355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aadc7ba4c5ab7f18069da9ff5d2dd1a59765da8e09959aad4268bd3e911f634c

Aliases

arxiv: 1009.2541 · arxiv_version: 1009.2541v4 · doi: 10.48550/arxiv.1009.2541 · pith_short_12: VLOHXJGFVN7R · pith_short_16: VLOHXJGFVN7RQBU5 · pith_short_8: VLOHXJGF

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/VLOHXJGFVN7RQBU5VH7V2LORUW \
  | 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: aadc7ba4c5ab7f18069da9ff5d2dd1a59765da8e09959aad4268bd3e911f634c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29b5277fb8624802413675758032308f9b464ccaedc2a2c33d03b40c1bcfba7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-09-14T00:11:37Z",
    "title_canon_sha256": "688b38a2f651bda38c51913aca4b4c9b799c3055646a1f7cad502fbfdc0dfcad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2541",
    "kind": "arxiv",
    "version": 4
  }
}