Pith Number

pith:FPPO24BJ

pith:2018:FPPO24BJWEUEATBAOM6IYHTBCQ

not attested not anchored not stored refs pending

New characterizations of operator monotone functions

Jose Franco, Raluca Dumitru, Trung Hoa Dinh

arxiv:1803.06659 v1 · 2018-03-18 · math.FA · 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{FPPO24BJWEUEATBAOM6IYHTBCQ}

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	2026-05-18T00:20:45.353298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bdeed7029b128404c20733c8c1e6114285249179ec903610719191d8d274b12

Aliases

arxiv: 1803.06659 · arxiv_version: 1803.06659v1 · doi: 10.48550/arxiv.1803.06659 · pith_short_12: FPPO24BJWEUE · pith_short_16: FPPO24BJWEUEATBA · pith_short_8: FPPO24BJ

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/FPPO24BJWEUEATBAOM6IYHTBCQ \
  | 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: 2bdeed7029b128404c20733c8c1e6114285249179ec903610719191d8d274b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb359517eea81e5923a404ae198bf93e3af77f0e882863e5b874346cc3d5405",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-18T13:32:21Z",
    "title_canon_sha256": "d9433fd7d25780f8b16f4bd720fa9fdf59626836d8bd205ae108c98130cd598c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06659",
    "kind": "arxiv",
    "version": 1
  }
}