Pith Number

pith:NI77O4MN

pith:2012:NI77O4MNGRYBVLV267OE5GH3K7

not attested not anchored not stored refs pending

Computer aided solution of the invariance equation for two-variable Gini means

Szabolcs Baj\'ak, Zsolt P\'ales

arxiv:1211.5711 v2 · 2012-11-24 · 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{NI77O4MNGRYBVLV267OE5GH3K7}

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	2026-05-18T03:39:14.315113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a3ff7718d34701aaebaf7dc4e98fb57d86bcf97c154d9bbefe4d1919b7fa9c6

Aliases

arxiv: 1211.5711 · arxiv_version: 1211.5711v2 · doi: 10.48550/arxiv.1211.5711 · pith_short_12: NI77O4MNGRYB · pith_short_16: NI77O4MNGRYBVLV2 · pith_short_8: NI77O4MN

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/NI77O4MNGRYBVLV267OE5GH3K7 \
  | 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: 6a3ff7718d34701aaebaf7dc4e98fb57d86bcf97c154d9bbefe4d1919b7fa9c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "352c143ba23021f126f30aa93b4d9a0869d906fbfe5c6a9c941f3f4bd15fd783",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-24T22:38:53Z",
    "title_canon_sha256": "a9e584fd229da4a5e67654da9ae201e079b7ca33fd79666a515c0efd3429462f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5711",
    "kind": "arxiv",
    "version": 2
  }
}