Pith Number

pith:6Z6GB65T

pith:2016:6Z6GB65TCI2MT5OHQUG4KQ3Y47

not attested not anchored not stored refs pending

The Quadratic Minimum Spanning Tree Problem and its Variations

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

arxiv:1603.04451 v1 · 2016-03-14 · cs.DS · cs.CC · 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{6Z6GB65TCI2MT5OHQUG4KQ3Y47}

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	2026-05-18T01:19:04.905306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f67c60fbb31234c9f5c7850dc54378e7c6c953594b26967cfb98dea07eacada9

Aliases

arxiv: 1603.04451 · arxiv_version: 1603.04451v1 · doi: 10.48550/arxiv.1603.04451 · pith_short_12: 6Z6GB65TCI2M · pith_short_16: 6Z6GB65TCI2MT5OH · pith_short_8: 6Z6GB65T

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/6Z6GB65TCI2MT5OHQUG4KQ3Y47 \
  | 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: f67c60fbb31234c9f5c7850dc54378e7c6c953594b26967cfb98dea07eacada9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec988d277d8aa348ec731fe54b7e03ce4569851389dd81f86a38d684823179c",
    "cross_cats_sorted": [
      "cs.CC",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-03-14T20:04:32Z",
    "title_canon_sha256": "a68a8bbb0955a6a2110cea56d61472b245052385af1e824a12ebee7d2944b03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04451",
    "kind": "arxiv",
    "version": 1
  }
}