Pith Number

pith:T6GOB3PS

pith:2016:T6GOB3PSEDE2EBVIL4VULPBS7A

not attested not anchored not stored refs pending

A Geometric Framework for the Inconsistency in Pairwise Comparisons

Jean-Pierre Magnot, Waldemar W. Koczkodaj

arxiv:1601.06301 v3 · 2016-01-23 · math.LO · cs.IT · math.DG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6GOB3PSEDE2EBVIL4VULPBS7A}

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	2026-05-18T00:11:00.787743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f8ce0edf220c9a206a85f2b45bc32f82309c279c22b17eb3d2a67b78295f3d8

Aliases

arxiv: 1601.06301 · arxiv_version: 1601.06301v3 · doi: 10.48550/arxiv.1601.06301 · pith_short_12: T6GOB3PSEDE2 · pith_short_16: T6GOB3PSEDE2EBVI · pith_short_8: T6GOB3PS

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/T6GOB3PSEDE2EBVIL4VULPBS7A \
  | 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: 9f8ce0edf220c9a206a85f2b45bc32f82309c279c22b17eb3d2a67b78295f3d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4e90fae9f356d0518e67f17246b8b3ceaa5a2312acbb5ef0cacb31a5aea101",
    "cross_cats_sorted": [
      "cs.IT",
      "math.DG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-01-23T18:21:27Z",
    "title_canon_sha256": "0f6fc5c0494d98ef43a8adc6db62a8213746c5c3b3453e06dbab09c206ec55cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06301",
    "kind": "arxiv",
    "version": 3
  }
}