Pith Number

pith:NENSSRWI

pith:2014:NENSSRWI6CSJ4HQIEB5HPKNJWO

not attested not anchored not stored refs pending

Regular operator mappings and multivariate geometric means

Frank Hansen

arxiv:1403.3781 v4 · 2014-03-15 · 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{NENSSRWI6CSJ4HQIEB5HPKNJWO}

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	2026-05-18T02:47:07.398965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

691b2946c8f0a49e1e08207a77a9a9b3b92d26c444cbb89e1cd354c3f34fa192

Aliases

arxiv: 1403.3781 · arxiv_version: 1403.3781v4 · doi: 10.48550/arxiv.1403.3781 · pith_short_12: NENSSRWI6CSJ · pith_short_16: NENSSRWI6CSJ4HQI · pith_short_8: NENSSRWI

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/NENSSRWI6CSJ4HQIEB5HPKNJWO \
  | 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: 691b2946c8f0a49e1e08207a77a9a9b3b92d26c444cbb89e1cd354c3f34fa192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf832b618aaa86890daa6affa083fdc027d3adeb7670c126fed8877a3ccf31b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-15T10:17:17Z",
    "title_canon_sha256": "5c66f37152a03ae7a45047c121d6c9b32a563748ca013eaf9381ef9f64628480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3781",
    "kind": "arxiv",
    "version": 4
  }
}