Pith Number

pith:NZF4ZKEO

pith:2014:NZF4ZKEO237TYCNPBORZTFJ7O4

not attested not anchored not stored refs pending

Note on L\"owner's theorem on matrix monotone functions in several commuting variables of Agler, McCarthy and Young

J. E. Pascoe

arxiv:1409.2605 v1 · 2014-09-09 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZF4ZKEO237TYCNPBORZTFJ7O4}

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	2026-05-18T02:43:10.148477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e4bcca88ed6ff3c09af0ba399953f7708af3cab9643425678c740ca11925162

Aliases

arxiv: 1409.2605 · arxiv_version: 1409.2605v1 · doi: 10.48550/arxiv.1409.2605 · pith_short_12: NZF4ZKEO237T · pith_short_16: NZF4ZKEO237TYCNP · pith_short_8: NZF4ZKEO

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/NZF4ZKEO237TYCNPBORZTFJ7O4 \
  | 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: 6e4bcca88ed6ff3c09af0ba399953f7708af3cab9643425678c740ca11925162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a0d176c8c5fbfcb19ab7901160d59ebde55fa1f35a14c1a27909c85a823e78",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-09T06:02:45Z",
    "title_canon_sha256": "ce335985f3ffed28de9fe6d33180c6b45fb281514285783e6b628db1ec9d9ad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2605",
    "kind": "arxiv",
    "version": 1
  }
}