Pith Number

pith:IV6YTMZN

pith:2019:IV6YTMZNAVB2Q33C6OB7JBRLYY

not attested not anchored not stored refs pending

On the use of group theory to generalize elements of pairwise comparisons matrix: a cautionary note

A. Przelaskowski, A. Schumann, C. \"Ozel, D. Strzalka, F. Liu, J. Mazurek, J. Szybowski, L. Mikhailov, M. Mazurek, R. Smarzewski, V.W. Marek, W. Pedrycz, W.W. Koczkodaj, Y. Yayli

arxiv:1903.07985 v3 · 2019-03-17 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IV6YTMZNAVB2Q33C6OB7JBRLYY}

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	2026-07-05T00:40:54.733448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

457d89b32d0543a86f62f383f4862bc612fbfe4a93c7bc8aacb8610f5f603952

Aliases

arxiv: 1903.07985 · arxiv_version: 1903.07985v3 · doi: 10.48550/arxiv.1903.07985 · pith_short_12: IV6YTMZNAVB2 · pith_short_16: IV6YTMZNAVB2Q33C · pith_short_8: IV6YTMZN

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/IV6YTMZNAVB2Q33C6OB7JBRLYY \
  | 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: 457d89b32d0543a86f62f383f4862bc612fbfe4a93c7bc8aacb8610f5f603952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "711dc5674385cf15dba5b462725002c3a9f8b8cad2f5c1a47b3f285f147e8e34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-03-17T02:26:54Z",
    "title_canon_sha256": "9d4b1a747bc0c936b571799842b9fe13ff9f5b99b9401f2ebcc7f51130e650a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07985",
    "kind": "arxiv",
    "version": 3
  }
}