Pith Number

pith:VEJQ7H5Z

pith:2018:VEJQ7H5ZQOOUXZUEAJPTRA4SPH

not attested not anchored not stored refs pending

New Lower Bounds for the First Variable Zagreb Index

Alvaro Mart\'inez-P\'erez, Jos\'e M. Rodr\'iguez

arxiv:1806.02063 v1 · 2018-06-06 · 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{VEJQ7H5ZQOOUXZUEAJPTRA4SPH}

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	2026-05-18T00:14:02.825723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9130f9fb9839d4be684025f38839279e02fd92d19297e467039e376d007da7b

Aliases

arxiv: 1806.02063 · arxiv_version: 1806.02063v1 · doi: 10.48550/arxiv.1806.02063 · pith_short_12: VEJQ7H5ZQOOU · pith_short_16: VEJQ7H5ZQOOUXZUE · pith_short_8: VEJQ7H5Z

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/VEJQ7H5ZQOOUXZUEAJPTRA4SPH \
  | 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: a9130f9fb9839d4be684025f38839279e02fd92d19297e467039e376d007da7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da351240baf6c7df3dfe7685528ce67c57c02824997a77cf0c39794faf10203",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-06T08:36:00Z",
    "title_canon_sha256": "23b640c9effdcc3a868d5d902ba101764c2358988518e8040d0ef9f8720f5e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02063",
    "kind": "arxiv",
    "version": 1
  }
}