Pith Number

pith:KRWJ5F7I

pith:2019:KRWJ5F7IILFHRGBU3LZLGSWBFY

not attested not anchored not stored refs pending

On The Double Roman bondage numbers of Graphs

F. Rahimi Mahid, H.R. Maimani, M. Momeni, N. Jafari Rad

arxiv:1905.06724 v1 · 2019-05-16 · 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{KRWJ5F7IILFHRGBU3LZLGSWBFY}

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	2026-05-17T23:46:01.237855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

546c9e97e842ca789834daf2b34ac12e3deb17c7d714b63dccf8a1bb60db4b17

Aliases

arxiv: 1905.06724 · arxiv_version: 1905.06724v1 · doi: 10.48550/arxiv.1905.06724 · pith_short_12: KRWJ5F7IILFH · pith_short_16: KRWJ5F7IILFHRGBU · pith_short_8: KRWJ5F7I

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/KRWJ5F7IILFHRGBU3LZLGSWBFY \
  | 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: 546c9e97e842ca789834daf2b34ac12e3deb17c7d714b63dccf8a1bb60db4b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db8243bdd677dfa1e16928f5dbdb5918036899b6b3ed4cc393a6f65d754bc896",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-16T13:17:12Z",
    "title_canon_sha256": "e2e9d6b14d1b675a8f80fe2b5f5f2fb6342c1d7ccf881aafd6c0911dc9544c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06724",
    "kind": "arxiv",
    "version": 1
  }
}