Pith Number

pith:PKROZ4TX

pith:2015:PKROZ4TXSBSZMC2S3WCB2RPDH6

not attested not anchored not stored refs pending

Average value of solutions of the bipartite quadratic assignment problem and linkages to domination analysis

Abraham P. Punnen, Ante \'Custi\'c

arxiv:1512.02709 v1 · 2015-12-09 · 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{PKROZ4TXSBSZMC2S3WCB2RPDH6}

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	2026-05-18T01:24:43.297622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aa2ecf2779065960b52dd841d45e33f8543a6b0c3f1ff2de52a9d580a5d3685

Aliases

arxiv: 1512.02709 · arxiv_version: 1512.02709v1 · doi: 10.48550/arxiv.1512.02709 · pith_short_12: PKROZ4TXSBSZ · pith_short_16: PKROZ4TXSBSZMC2S · pith_short_8: PKROZ4TX

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/PKROZ4TXSBSZMC2S3WCB2RPDH6 \
  | 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: 7aa2ecf2779065960b52dd841d45e33f8543a6b0c3f1ff2de52a9d580a5d3685

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "670863d3848f4591e0a572c6e9d6af7290bdc6a830d43456bf4c87161dde260a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-09T01:00:47Z",
    "title_canon_sha256": "a1ccd3b1955e6d89730fb3c9167635d9b3277254f9ed93693bc03492d01aa1e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02709",
    "kind": "arxiv",
    "version": 1
  }
}