Pith Number

pith:6GJKWKQW

pith:2016:6GJKWKQWJSY64A3QF5VDUBU6A7

not attested not anchored not stored refs pending

Bounds of Zagreb indices and hyper Zagreb indices

Jia-Bao Liu, Mohammad R. Farahani, Muhammad K. Jamil, Shaohui Wang, Wei Gao

arxiv:1612.02361 v1 · 2016-12-07 · 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{6GJKWKQWJSY64A3QF5VDUBU6A7}

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	2026-05-18T00:55:34.852137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f192ab2a164cb1ee03702f6a3a069e07cb5c32a59757c3c0aa13acdf1c06d5c6

Aliases

arxiv: 1612.02361 · arxiv_version: 1612.02361v1 · doi: 10.48550/arxiv.1612.02361 · pith_short_12: 6GJKWKQWJSY6 · pith_short_16: 6GJKWKQWJSY64A3Q · pith_short_8: 6GJKWKQW

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/6GJKWKQWJSY64A3QF5VDUBU6A7 \
  | 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: f192ab2a164cb1ee03702f6a3a069e07cb5c32a59757c3c0aa13acdf1c06d5c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f62c757a7c587a6db65129cbb25137ab3054896a82d7478a07c15985bfdfd815",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-07T18:39:52Z",
    "title_canon_sha256": "ecef38cd2fd853b90020f30066f5bbd2420dab4af7afda1c3afd22116b983a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02361",
    "kind": "arxiv",
    "version": 1
  }
}