Pith Number

pith:5JRNQYG2

pith:2016:5JRNQYG2BB2TEZLYO4WVGVC6XL

not attested not anchored not stored refs pending

Ladder and Subdivision of Ladder Graphs with Pendant Edges are Odd Graceful

Benha University, Egypt), E.M.Badr (Faculty of Informatics, M.I.Moussa (Faculty of Informatics

arxiv:1604.02347 v1 · 2016-04-08 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JRNQYG2BB2TEZLYO4WVGVC6XL}

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	2026-05-18T01:17:26.818251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea62d860da0875326578772d53545ebaef9627571352a24af95ff39e05229536

Aliases

arxiv: 1604.02347 · arxiv_version: 1604.02347v1 · doi: 10.48550/arxiv.1604.02347 · pith_short_12: 5JRNQYG2BB2T · pith_short_16: 5JRNQYG2BB2TEZLY · pith_short_8: 5JRNQYG2

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/5JRNQYG2BB2TEZLYO4WVGVC6XL \
  | 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: ea62d860da0875326578772d53545ebaef9627571352a24af95ff39e05229536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfb36421df88a73fef891ede5f95d1ad70d1ee01778b67128aac0e1720528bbe",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-04-08T13:16:16Z",
    "title_canon_sha256": "2faa183d4fc1eaf6e2c2bd605c3f3af936b3cd259b3a095304f81c391f715483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02347",
    "kind": "arxiv",
    "version": 1
  }
}