Pith Number

pith:ZWCDZXGT

pith:2017:ZWCDZXGTHN3RVBSPIHAIGSHHY3

not attested not anchored not stored refs pending

On $k$-tuple and $k$-tuple total domination numbers of regular graphs

Amir Jafari, Morteza Saghafian, Sharareh Alipour

arxiv:1709.01245 v2 · 2017-09-05 · 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{ZWCDZXGTHN3RVBSPIHAIGSHHY3}

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	2026-05-18T00:25:28.864680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd843cdcd33b771a864f41c08348e7c6ffdb8e2ecdb8c044320d85908e8459f3

Aliases

arxiv: 1709.01245 · arxiv_version: 1709.01245v2 · doi: 10.48550/arxiv.1709.01245 · pith_short_12: ZWCDZXGTHN3R · pith_short_16: ZWCDZXGTHN3RVBSP · pith_short_8: ZWCDZXGT

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/ZWCDZXGTHN3RVBSPIHAIGSHHY3 \
  | 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: cd843cdcd33b771a864f41c08348e7c6ffdb8e2ecdb8c044320d85908e8459f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9f162d041a2b403c59c5b402421dadc6fc24b1e7496cb90d07f7caa0c6b259a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-05T06:03:30Z",
    "title_canon_sha256": "b66c80b7e847e17fb8f6d02eb30f3f6243a164a30cd2eaf65a05416525de3705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01245",
    "kind": "arxiv",
    "version": 2
  }
}