Pith Number

pith:MLAN2AWI

pith:2016:MLAN2AWIQNORJ2W4JZVGEANVOL

not attested not anchored not stored refs pending

On extremal multiplicative Zagreb indices of trees with given number of vertices of maximum degree

Chunxiang Wang, Jia-Bao Liu, Lin Chen, Shaohui Wang

arxiv:1611.07137 v2 · 2016-11-22 · 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{MLAN2AWIQNORJ2W4JZVGEANVOL}

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	2026-05-18T00:46:04.260110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62c0dd02c8835d14eadc4e6a6201b572e59a6f7bebac5ff3baf974677c856fa6

Aliases

arxiv: 1611.07137 · arxiv_version: 1611.07137v2 · doi: 10.48550/arxiv.1611.07137 · pith_short_12: MLAN2AWIQNOR · pith_short_16: MLAN2AWIQNORJ2W4 · pith_short_8: MLAN2AWI

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/MLAN2AWIQNORJ2W4JZVGEANVOL \
  | 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: 62c0dd02c8835d14eadc4e6a6201b572e59a6f7bebac5ff3baf974677c856fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fecb4001e14485b023669528f8d3090ebe3cdcf85458daeab62315945cae4504",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-22T03:25:27Z",
    "title_canon_sha256": "0e3dfd9a1f9e0c3a5d726523230395f0449caf741ba0ac8e62da68b5d3594d98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07137",
    "kind": "arxiv",
    "version": 2
  }
}