Pith Number

pith:IZBBFNFS

pith:2013:IZBBFNFSSVXI3O4PLLBE3GJ45I

not attested not anchored not stored refs pending

Heuristic Rating Estimation Approach to The Pairwise Comparisons Method

Konrad Ku{\l}akowski

arxiv:1309.0386 v3 · 2013-08-23 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZBBFNFSSVXI3O4PLLBE3GJ45I}

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	2026-05-18T01:32:11.023972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

464212b4b2956e8dbb8f5ac24d993cea245f1ffef7c492672b57065a7bf94885

Aliases

arxiv: 1309.0386 · arxiv_version: 1309.0386v3 · doi: 10.48550/arxiv.1309.0386 · pith_short_12: IZBBFNFSSVXI · pith_short_16: IZBBFNFSSVXI3O4P · pith_short_8: IZBBFNFS

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/IZBBFNFSSVXI3O4PLLBE3GJ45I \
  | 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: 464212b4b2956e8dbb8f5ac24d993cea245f1ffef7c492672b57065a7bf94885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920301f186a16fe17edfaa39e5305b9b09d5374e1af2fb0ce7b61f64901829b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-08-23T17:48:11Z",
    "title_canon_sha256": "bc874a9c4a06102cb0dbb4c314a9e78027b05f6d79e702f6b358582f82c749de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0386",
    "kind": "arxiv",
    "version": 3
  }
}