pith. sign in
Pith Number

pith:Z4ZD2RWN

pith:2017:Z4ZD2RWNT65OSNNZTA5KOHJLRL
not attested not anchored not stored refs pending

Minimum Cycle Decomposition: A Constructive Characterization for Graphs of Treewidth Two with Node Degrees Two and Four

Irene Heinrich, Sven O. Krumke

arxiv:1701.05516 v1 · 2017-01-19 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z4ZD2RWNT65OSNNZTA5KOHJLRL}

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 2026-05-18T00:52:29.645130Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cf323d46cd9fbae935b9983aa71d2b8ae37ecaf52bc2148ba90cd040c1d7f6a5

Aliases

arxiv: 1701.05516 · arxiv_version: 1701.05516v1 · doi: 10.48550/arxiv.1701.05516 · pith_short_12: Z4ZD2RWNT65O · pith_short_16: Z4ZD2RWNT65OSNNZ · pith_short_8: Z4ZD2RWN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z4ZD2RWNT65OSNNZTA5KOHJLRL \
  | 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: cf323d46cd9fbae935b9983aa71d2b8ae37ecaf52bc2148ba90cd040c1d7f6a5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3e23820bca96484bad5163462c7c5fb51d7adf2c34f8a5e44f8d1c3a911546c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-19T17:24:20Z",
    "title_canon_sha256": "3ce02044e6ae934ea992b6292f53406683db11e54323a3c74a46642a5da8a6be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05516",
    "kind": "arxiv",
    "version": 1
  }
}