Pith Number

pith:WV2RP6ZJ

pith:2026:WV2RP6ZJDFTSYHK7I3TZ7DQRZR

not attested not anchored not stored refs pending

Size independence of consistency index for pairwise comparison matrices in analytic hierarchy process

Shunsuke Shiraishi, Tsuneshi Obata

arxiv:2607.07950 v1 · 2026-07-08 · stat.ME · cs.GT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WV2RP6ZJDFTSYHK7I3TZ7DQRZR}

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	2026-07-10T00:19:05.736644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b57517fb2919672c1d5f46e79f8e11cc783cccf392324669ca1190a55ed0fb2c

Aliases

arxiv: 2607.07950 · arxiv_version: 2607.07950v1 · doi: 10.48550/arxiv.2607.07950 · pith_short_12: WV2RP6ZJDFTS · pith_short_16: WV2RP6ZJDFTSYHK7 · pith_short_8: WV2RP6ZJ

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/WV2RP6ZJDFTSYHK7I3TZ7DQRZR \
  | 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: b57517fb2919672c1d5f46e79f8e11cc783cccf392324669ca1190a55ed0fb2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d181fbc5705f79cae106028fdcc4c214e82aaf84465e1d3dee527372a9d6ff3",
    "cross_cats_sorted": [
      "cs.GT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-08T21:57:46Z",
    "title_canon_sha256": "13131cf82531db4fabbd4cd8ef0dc9d8b1c0fda9723c0547b1b2e09fecab9bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07950",
    "kind": "arxiv",
    "version": 1
  }
}