Pith Number

pith:CMQPOJZY

pith:2018:CMQPOJZY2LDUHNWLQ6RBQEU7PP

not attested not anchored not stored refs pending

The Hyper-Zagreb Index of Trees and Unicyclic Graphs

Hassan Rezapour, Ramin Nasiri, Seyedahmad Mousavi

arxiv:1808.10441 v2 · 2018-08-30 · 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{CMQPOJZY2LDUHNWLQ6RBQEU7PP}

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	2026-05-18T00:06:00.915273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1320f72738d2c743b6cb87a218129f7bc23e64440eaabf71d18b9cf52e442823

Aliases

arxiv: 1808.10441 · arxiv_version: 1808.10441v2 · doi: 10.48550/arxiv.1808.10441 · pith_short_12: CMQPOJZY2LDU · pith_short_16: CMQPOJZY2LDUHNWL · pith_short_8: CMQPOJZY

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/CMQPOJZY2LDUHNWLQ6RBQEU7PP \
  | 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: 1320f72738d2c743b6cb87a218129f7bc23e64440eaabf71d18b9cf52e442823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57296ccff02adeb63fc780e38144a267f68cacc2d491477e3b3087fd71dcf8ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-30T08:44:49Z",
    "title_canon_sha256": "ffaa712a9da8bc9729b7fd28c5dfd23d620ae994ddcaf3b45c8c274dd4be67fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10441",
    "kind": "arxiv",
    "version": 2
  }
}