Pith Number

pith:QDM72CVE

pith:2012:QDM72CVEGF46VNLXEVNL6XYGWG

not attested not anchored not stored refs pending

The bipartite unconstrained 0-1 quadratic programming problem: polynomially solvable cases

Abraham P. Punnen, Daniel Karapetyan, Piyashat Sripratak

arxiv:1212.3736 v3 · 2012-12-15 · math.OC · cs.DM · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDM72CVEGF46VNLXEVNL6XYGWG}

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	2026-05-18T02:53:15.463034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80d9fd0aa43179eab577255abf5f06b189e237e61162ea3b21b14c320f50bcf2

Aliases

arxiv: 1212.3736 · arxiv_version: 1212.3736v3 · doi: 10.48550/arxiv.1212.3736 · pith_short_12: QDM72CVEGF46 · pith_short_16: QDM72CVEGF46VNLX · pith_short_8: QDM72CVE

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/QDM72CVEGF46VNLXEVNL6XYGWG \
  | 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: 80d9fd0aa43179eab577255abf5f06b189e237e61162ea3b21b14c320f50bcf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f59516bdec479fac666befc972fb9f30d4b6d1c16f6257e36fa0df695d5a095",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-15T22:34:10Z",
    "title_canon_sha256": "81b53ee06c45aa139150ac8ab4def5760a21d9ade1cb5ba511c52efe7e5026f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3736",
    "kind": "arxiv",
    "version": 3
  }
}