Pith Number

pith:INQRXOMQ

pith:2017:INQRXOMQSBPMD3UPE3MCLN672E

not attested not anchored not stored refs pending

Commutativity of integral quasi-arithmetic means on measure spaces

Dorota G{\l}azowska, Janusz Matkowski, Paolo Leonetti, Salvatore Tringali

arxiv:1703.03938 v2 · 2017-03-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INQRXOMQSBPMD3UPE3MCLN672E}

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	2026-05-18T00:31:02.984532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43611bb990905ec1ee8f26d825b7dfd11511f4a53e4144009d6a894559fa0481

Aliases

arxiv: 1703.03938 · arxiv_version: 1703.03938v2 · doi: 10.48550/arxiv.1703.03938 · pith_short_12: INQRXOMQSBPM · pith_short_16: INQRXOMQSBPMD3UP · pith_short_8: INQRXOMQ

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/INQRXOMQSBPMD3UPE3MCLN672E \
  | 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: 43611bb990905ec1ee8f26d825b7dfd11511f4a53e4144009d6a894559fa0481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f65efdb181a67cd81a26ae84caee1064b4ad1ef2e4f190d9b4387f84746a262",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-11T10:01:24Z",
    "title_canon_sha256": "990f55bf016fed0ae46fd57da4345bec73c2d91673cc75f221e1921536b4bcf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03938",
    "kind": "arxiv",
    "version": 2
  }
}