Pith Number

pith:3UOAI3RH

pith:2018:3UOAI3RHCWATKU6MRJAEDJOKLO

not attested not anchored not stored refs pending

On Neighbourhood Zagreb index of product graphs

Anita Pal, Nilanjan De, Sourav Mondal

arxiv:1805.05273 v1 · 2018-05-14 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UOAI3RHCWATKU6MRJAEDJOKLO}

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	2026-05-18T00:16:03.561689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1c046e2715813553cc8a4041a5ca5bae7f104c6da46b54622cf18184f9fde5

Aliases

arxiv: 1805.05273 · arxiv_version: 1805.05273v1 · doi: 10.48550/arxiv.1805.05273 · pith_short_12: 3UOAI3RHCWAT · pith_short_16: 3UOAI3RHCWATKU6M · pith_short_8: 3UOAI3RH

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/3UOAI3RHCWATKU6MRJAEDJOKLO \
  | 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: dd1c046e2715813553cc8a4041a5ca5bae7f104c6da46b54622cf18184f9fde5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f9c75a81fb81ca4824c0c2c998f8c6c693a009f240c05bfb8550dd5894f5641",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-14T16:38:06Z",
    "title_canon_sha256": "a6ce5292ebc814c79cbec493240e233b5a2bcfa7876bc0357c86e5e4ab7b7a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05273",
    "kind": "arxiv",
    "version": 1
  }
}