Pith Number

pith:SEL3KJWZ

pith:2011:SEL3KJWZBGHGLWXI3PEQNUVYKU

not attested not anchored not stored refs pending

Vertex-disjoint directed and undirected cycles in general digraphs

Alessandro Maddaloni, J{\o}rgen Bang-Jensen, Matthias Kriesell, Sven Simonsen

arxiv:1106.5885 v1 · 2011-06-29 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SEL3KJWZBGHGLWXI3PEQNUVYKU}

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	2026-05-18T04:19:04.985812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9117b526d9098e65dae8dbc906d2b855067fa37cd5e4a1355d3d64926c4d1062

Aliases

arxiv: 1106.5885 · arxiv_version: 1106.5885v1 · doi: 10.48550/arxiv.1106.5885 · pith_short_12: SEL3KJWZBGHG · pith_short_16: SEL3KJWZBGHGLWXI · pith_short_8: SEL3KJWZ

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/SEL3KJWZBGHGLWXI3PEQNUVYKU \
  | 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: 9117b526d9098e65dae8dbc906d2b855067fa37cd5e4a1355d3d64926c4d1062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "510c5cf4620c4abab151af30949e4e1ad8f353442d402cbe7709b884759f7df1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-29T09:22:43Z",
    "title_canon_sha256": "b00b4ae5e79d22385b02309a4adc0052f8ab20c4c2db37b15632c415abc3b218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5885",
    "kind": "arxiv",
    "version": 1
  }
}