Pith Number

pith:G4DCAQZX

pith:2008:G4DCAQZXXWP6LRYKD4Y6SWJSGY

not attested not anchored not stored refs pending

Maximum Multiplicity of a Root of the Matching Polynomial of a Tree and Minimum Path Cover

Cheng Yeaw Ku, K. B. Wong

arxiv:0810.4986 v1 · 2008-10-28 · 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{G4DCAQZXXWP6LRYKD4Y6SWJSGY}

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	2026-05-18T04:28:28.437549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3706204337bd9fe5c70a1f31e9593236221d1e225a708bb83b9345684ce96731

Aliases

arxiv: 0810.4986 · arxiv_version: 0810.4986v1 · doi: 10.48550/arxiv.0810.4986 · pith_short_12: G4DCAQZXXWP6 · pith_short_16: G4DCAQZXXWP6LRYK · pith_short_8: G4DCAQZX

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/G4DCAQZXXWP6LRYKD4Y6SWJSGY \
  | 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: 3706204337bd9fe5c70a1f31e9593236221d1e225a708bb83b9345684ce96731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75a6f14393b4d945f8e68a01c6977d6e84ec5b5c99a11f585dff86a7d5d4c75e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-10-28T08:48:28Z",
    "title_canon_sha256": "b11dae091433d39f50eea82a8b7ebe1329dc138c4dc15c429ed57b07e2846d51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4986",
    "kind": "arxiv",
    "version": 1
  }
}