Pith Number

pith:QXIPT3QN

pith:2019:QXIPT3QNOZAQTIZNPK6AEUSEFR

not attested not anchored not stored refs pending

Paired domination and 2- distance Paired domination of the flower graph $f_{n\times m}$

Syed Ahtsham Ul Haq Bokhary, Tanveer Iqbal

arxiv:1907.01210 v1 · 2019-07-02 · 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{QXIPT3QNOZAQTIZNPK6AEUSEFR}

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	2026-05-17T23:41:40.976281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d0f9ee0d764109a32d7abc0252442c5b3943d6a5bba5f1e5e62d75394aeb56

Aliases

arxiv: 1907.01210 · arxiv_version: 1907.01210v1 · doi: 10.48550/arxiv.1907.01210 · pith_short_12: QXIPT3QNOZAQ · pith_short_16: QXIPT3QNOZAQTIZN · pith_short_8: QXIPT3QN

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/QXIPT3QNOZAQTIZNPK6AEUSEFR \
  | 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: 85d0f9ee0d764109a32d7abc0252442c5b3943d6a5bba5f1e5e62d75394aeb56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285f4cbe212fe3e9fd85d0ca7524b6fae32a9c5003160c7053fe9ed5e44f16cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-02T07:39:36Z",
    "title_canon_sha256": "7d51bd2a8ea72d311174ad8023f01d2a7cf3df047ec0d1ec4c7696399b6b66e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01210",
    "kind": "arxiv",
    "version": 1
  }
}