Pith Number

pith:VAZFOAMW

pith:2015:VAZFOAMW6TPQPSIEKW536CSDU5

not attested not anchored not stored refs pending

On the Sparing Number of the Edge-Corona of Graphs

K. A. Germina, K. P. Chithra, N. K. Sudev

arxiv:1505.04854 v1 · 2015-05-19 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAZFOAMW6TPQPSIEKW536CSDU5}

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	2026-05-18T02:03:59.361071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a832570196f4df07c90455bbbf0a43a740cad8b8cc73de46580bb74420498ddf

Aliases

arxiv: 1505.04854 · arxiv_version: 1505.04854v1 · doi: 10.48550/arxiv.1505.04854 · pith_short_12: VAZFOAMW6TPQ · pith_short_16: VAZFOAMW6TPQPSIE · pith_short_8: VAZFOAMW

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/VAZFOAMW6TPQPSIEKW536CSDU5 \
  | 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: a832570196f4df07c90455bbbf0a43a740cad8b8cc73de46580bb74420498ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825a32d4716131fd1d134f530c3fd3547a92204eacfa98d98ff0ac54580679ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-05-19T02:37:25Z",
    "title_canon_sha256": "e77cd9f3dae3b9b812c42c1896fbda7a8b87847bbc73c6df852bf3368db2b432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04854",
    "kind": "arxiv",
    "version": 1
  }
}