Pith Number

pith:4VXCWHS4

pith:2017:4VXCWHS4SGLEHSGHTOS4N5GHQA

not attested not anchored not stored refs pending

The noncommutative L\"owner theorem for matrix monotone functions over operator systems

J. E. Pascoe

arxiv:1706.08236 v1 · 2017-06-26 · math.OA · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VXCWHS4SGLEHSGHTOS4N5GHQA}

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	2026-05-18T00:41:43.110201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e56e2b1e5c919643c8c79ba5c6f4c78014b480cd98cbb5ad028e617db998351c

Aliases

arxiv: 1706.08236 · arxiv_version: 1706.08236v1 · doi: 10.48550/arxiv.1706.08236 · pith_short_12: 4VXCWHS4SGLE · pith_short_16: 4VXCWHS4SGLEHSGH · pith_short_8: 4VXCWHS4

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/4VXCWHS4SGLEHSGHTOS4N5GHQA \
  | 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: e56e2b1e5c919643c8c79ba5c6f4c78014b480cd98cbb5ad028e617db998351c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc098f8c6ac15a92ae5b634fe562d2e157e5c94543812016b1fd2599f91f058c",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-26T05:30:31Z",
    "title_canon_sha256": "6c8a32c60b34593f53f2e92cf4e18d461bf3c01dfff347ce76f55edba1e0b2fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08236",
    "kind": "arxiv",
    "version": 1
  }
}