Pith Number

pith:APC6627S

pith:2012:APC6627SLJI4T6P522PCIA5MBN

not attested not anchored not stored refs pending

The Analytic Hierarchy Process, Max Algebra and Multi-objective Optimisation

Buket Benek Gursoy, Oliver Mason, Sergei Sergeev

arxiv:1207.6572 v1 · 2012-07-27 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APC6627SLJI4T6P522PCIA5MBN}

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	2026-05-17T23:50:39.135790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03c5ef6bf25a51c9f9fdd69e2403ac0b506dfab87ea1459f6bf313344c449777

Aliases

arxiv: 1207.6572 · arxiv_version: 1207.6572v1 · doi: 10.48550/arxiv.1207.6572 · pith_short_12: APC6627SLJI4 · pith_short_16: APC6627SLJI4T6P5 · pith_short_8: APC6627S

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/APC6627SLJI4T6P522PCIA5MBN \
  | 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: 03c5ef6bf25a51c9f9fdd69e2403ac0b506dfab87ea1459f6bf313344c449777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f694c63342e7de6f8365cb2fccf173655fbd0f1c318ee7e19f41c49ce468f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-27T15:33:58Z",
    "title_canon_sha256": "f89b3d8caed4d7d88acb4906587a11ade5c2f3c0a19bd8be731bfd2c6398da14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6572",
    "kind": "arxiv",
    "version": 1
  }
}