Pith Number

pith:XCAYRP26

pith:2015:XCAYRP263IUX2IO3WLNIUHZA7L

not attested not anchored not stored refs pending

On the Convergence of the Pairwise Comparisons Inconsistency Reduction Process

Jacek Szybowski, Waldemar W. Koczkodaj

arxiv:1505.01325 v2 · 2015-05-06 · 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{XCAYRP263IUX2IO3WLNIUHZA7L}

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	2026-05-18T02:16:40.609348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b88188bf5eda297d21dbb2da8a1f20faf613f9d88e706385c0b215be05a6fbeb

Aliases

arxiv: 1505.01325 · arxiv_version: 1505.01325v2 · doi: 10.48550/arxiv.1505.01325 · pith_short_12: XCAYRP263IUX · pith_short_16: XCAYRP263IUX2IO3 · pith_short_8: XCAYRP26

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/XCAYRP263IUX2IO3WLNIUHZA7L \
  | 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: b88188bf5eda297d21dbb2da8a1f20faf613f9d88e706385c0b215be05a6fbeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e626db1fe372d718da71d446fd02db11b85fff47c14cdf2cab2d275e4ccecf16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-05-06T11:43:37Z",
    "title_canon_sha256": "2c4927fc716f727936a40580c6e177ed14428427e416c7b8716180cc1cce26dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01325",
    "kind": "arxiv",
    "version": 2
  }
}