Pith Number

pith:UBYFNMWD

pith:2018:UBYFNMWD63ANJAZVBMKWOUXKF5

not attested not anchored not stored refs pending

Tropical optimization techniques in multi-criteria decision making with Analytical Hierarchy Process

(2) University of Birmingham, N. Krivulin (1), Russia, S. Sergeev (2) ((1) Saint Petersburg State University, UK)

arxiv:1801.10524 v1 · 2018-01-31 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBYFNMWD63ANJAZVBMKWOUXKF5}

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	2026-05-18T00:24:40.615240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07056b2c3f6c0d483350b156752ea2f4067f5ccb101d7552905f465cb60110a

Aliases

arxiv: 1801.10524 · arxiv_version: 1801.10524v1 · doi: 10.48550/arxiv.1801.10524 · pith_short_12: UBYFNMWD63AN · pith_short_16: UBYFNMWD63ANJAZV · pith_short_8: UBYFNMWD

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/UBYFNMWD63ANJAZVBMKWOUXKF5 \
  | 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: a07056b2c3f6c0d483350b156752ea2f4067f5ccb101d7552905f465cb60110a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eadf574f5268e8e8df31562e3ec3fe7c5b802daeaecffcb3928247c61e236972",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-01-31T16:16:55Z",
    "title_canon_sha256": "d9aaa7785551d2e6a74bb77efab51c3f819ad028e6e60f8637e9e190c70b9e4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10524",
    "kind": "arxiv",
    "version": 1
  }
}