Pith Number

pith:VNCKY345

pith:2024:VNCKY345SFF36MB3S7ZNN3L32R

not attested not anchored not stored refs pending

Characterizations of quasi-homogeneous aggregation functions

Feng-qing Zhu, Xue-Ping Wang

arxiv:2403.09665 v2 · 2024-01-11 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNCKY345SFF36MB3S7ZNN3L32R}

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	2026-06-02T02:04:44.805407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab44ac6f9d914bbf303b97f2d6ed7bd46db82e334b428a52fb6f0ae5eadc401f

Aliases

arxiv: 2403.09665 · arxiv_version: 2403.09665v2 · doi: 10.48550/arxiv.2403.09665 · pith_short_12: VNCKY345SFF3 · pith_short_16: VNCKY345SFF36MB3 · pith_short_8: VNCKY345

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/VNCKY345SFF36MB3S7ZNN3L32R \
  | 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: ab44ac6f9d914bbf303b97f2d6ed7bd46db82e334b428a52fb6f0ae5eadc401f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e40b221e8d70f77538a8bdc1d513b4145204e0271f560fd66d6f7ad62006bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2024-01-11T07:25:49Z",
    "title_canon_sha256": "969017f7b4edfa36f5c6e6f9b924093c3a1704035a33d89191fcc045e219ed31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.09665",
    "kind": "arxiv",
    "version": 2
  }
}