Pith Number

pith:DFPZYCMF

pith:2022:DFPZYCMF4AN4NI3GIQLHDCE6RM

not attested not anchored not stored refs pending

On the Vertex-Degree-Function Indices of Connected (n,m)-Graphs of Maximum Degree at Most Four

Abeer M. Albalahi, Akbar Ali, Amjad E. Hamza, Igor Z. Milovanovic, Zahid Raza

arxiv:2207.00353 v2 · 2022-07-01 · 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{DFPZYCMF4AN4NI3GIQLHDCE6RM}

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	2026-07-05T05:59:03.237368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

195f9c0985e01bc6a366441671889e8b2db7943921d07ab8c3902a4e8ff49c3c

Aliases

arxiv: 2207.00353 · arxiv_version: 2207.00353v2 · doi: 10.48550/arxiv.2207.00353 · pith_short_12: DFPZYCMF4AN4 · pith_short_16: DFPZYCMF4AN4NI3G · pith_short_8: DFPZYCMF

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/DFPZYCMF4AN4NI3GIQLHDCE6RM \
  | 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: 195f9c0985e01bc6a366441671889e8b2db7943921d07ab8c3902a4e8ff49c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e7e94c831a357a89cc79346663682afe50f9d759e07847f27081417a1d5ec75",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-01T11:42:41Z",
    "title_canon_sha256": "b75f160729cdf6299cc2519aec0e83d09a73f1782a477afb07d78351d8d1fd1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.00353",
    "kind": "arxiv",
    "version": 2
  }
}