Pith Number

pith:NJQ4JX7H

pith:2019:NJQ4JX7HPYMZKM7BYZLCRTFLTP

not attested not anchored not stored refs pending

Characterizations of certain means of positive operators

Lajos Molnar

arxiv:1901.05504 v1 · 2019-01-16 · 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{NJQ4JX7HPYMZKM7BYZLCRTFLTP}

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	2026-05-17T23:56:08.942672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a61c4dfe77e199533e1c65628ccab9be5942805f562f4a179db3bca94cda6e3

Aliases

arxiv: 1901.05504 · arxiv_version: 1901.05504v1 · doi: 10.48550/arxiv.1901.05504 · pith_short_12: NJQ4JX7HPYMZ · pith_short_16: NJQ4JX7HPYMZKM7B · pith_short_8: NJQ4JX7H

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/NJQ4JX7HPYMZKM7BYZLCRTFLTP \
  | 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: 6a61c4dfe77e199533e1c65628ccab9be5942805f562f4a179db3bca94cda6e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "460a135b4c336650c1c221c944845db8107e786786f013e20f773b268887f884",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-16T19:27:33Z",
    "title_canon_sha256": "2764c55752325b2ee40c7a2dfe30650cc9af52f8cf87519f01462a9e2652659d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05504",
    "kind": "arxiv",
    "version": 1
  }
}