Pith Number

pith:ICKKZODV

pith:2011:ICKKZODV7SJGD3OJYLX44D52BA

not attested not anchored not stored refs pending

Strong Equivalence of Qualitative Optimization Problems

Miros{\l}aw Truszczy\'nski, Stefan Woltran, Wolfgang Faber

arxiv:1112.0791 v1 · 2011-12-04 · cs.LO · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICKKZODV7SJGD3OJYLX44D52BA}

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	2026-05-18T04:07:05.605416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4094acb875fc9261edc9c2efce0fba0834abb444dcbbbe2559121fff4501da37

Aliases

arxiv: 1112.0791 · arxiv_version: 1112.0791v1 · doi: 10.48550/arxiv.1112.0791 · pith_short_12: ICKKZODV7SJG · pith_short_16: ICKKZODV7SJGD3OJ · pith_short_8: ICKKZODV

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/ICKKZODV7SJGD3OJYLX44D52BA \
  | 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: 4094acb875fc9261edc9c2efce0fba0834abb444dcbbbe2559121fff4501da37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d085cc1a1db9e1a9124a94cba6da331633bbe33e1f246bbb071e790c873b11b",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-12-04T20:06:29Z",
    "title_canon_sha256": "37e4b9034da5b3f7e85a9766d48ce96c8e4d5e28676b766f122b6a55884481e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0791",
    "kind": "arxiv",
    "version": 1
  }
}