Pith Number

pith:UOWVOITV

pith:2011:UOWVOITVTRJ4G3AGMA64ITYCUH

not attested not anchored not stored refs pending

Higher order extension of L\"owner's theory: Operator $k$-tone functions

\'Eric Ricard, Fumio Hiai, Uwe Franz

arxiv:1105.3881 v4 · 2011-05-19 · 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{UOWVOITVTRJ4G3AGMA64ITYCUH}

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	2026-05-18T02:51:48.802417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ad5722759c53c36c06603dc44f02a1d40381677dcdc33c159110f284aca6c7

Aliases

arxiv: 1105.3881 · arxiv_version: 1105.3881v4 · doi: 10.48550/arxiv.1105.3881 · pith_short_12: UOWVOITVTRJ4 · pith_short_16: UOWVOITVTRJ4G3AG · pith_short_8: UOWVOITV

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/UOWVOITVTRJ4G3AGMA64ITYCUH \
  | 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: a3ad5722759c53c36c06603dc44f02a1d40381677dcdc33c159110f284aca6c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039d78fd62de617188618e93cb52bba2c12970a8989d90d63290928a681bae5e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-19T14:21:37Z",
    "title_canon_sha256": "9c91161cdbd17ce57ad40b5ed2e3e31b38cf7ffc43f2dec268db17011ff5d3e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3881",
    "kind": "arxiv",
    "version": 4
  }
}