Pith Number

pith:42PPEU2B

pith:2018:42PPEU2BM2WBXQHRWK3S5XHZLJ

not attested not anchored not stored refs pending

The diameter of the fractional matching polytope and its hardness implications

Laura Sanit\`a

arxiv:1806.03397 v2 · 2018-06-09 · math.CO · 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{42PPEU2BM2WBXQHRWK3S5XHZLJ}

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	2026-05-18T00:10:10.057852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e69ef2534166ac1bc0f1b2b72edcf95a60b9c88e3dc3dd1754b38865842ebdb1

Aliases

arxiv: 1806.03397 · arxiv_version: 1806.03397v2 · doi: 10.48550/arxiv.1806.03397 · pith_short_12: 42PPEU2BM2WB · pith_short_16: 42PPEU2BM2WBXQHR · pith_short_8: 42PPEU2B

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/42PPEU2BM2WBXQHRWK3S5XHZLJ \
  | 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: e69ef2534166ac1bc0f1b2b72edcf95a60b9c88e3dc3dd1754b38865842ebdb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73599bebd0aba9a6503614b9cb375a30ced0ceb009f0f05627203560ec045eb4",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-09T02:30:22Z",
    "title_canon_sha256": "7f6f3e675bb35a5139a51d0c6409ce84e2c396982dd7cbb54483f5af0ef51998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03397",
    "kind": "arxiv",
    "version": 2
  }
}