Pith Number

pith:GPBR2HDK

pith:2011:GPBR2HDK4W5RN2NZVSQUS5LVRA

not attested not anchored not stored refs pending

k-tuple total restrained domination and k-tuple total restrained domatic in graphs

Adel P. Kazemi

arxiv:1106.5591 v1 · 2011-06-28 · 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{GPBR2HDK4W5RN2NZVSQUS5LVRA}

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	2026-05-17T23:43:43.669182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c31d1c6ae5bb16e9b9aca1497575881586b60e86954a7bb5656fd0f49af4cf

Aliases

arxiv: 1106.5591 · arxiv_version: 1106.5591v1 · doi: 10.48550/arxiv.1106.5591 · pith_short_12: GPBR2HDK4W5R · pith_short_16: GPBR2HDK4W5RN2NZ · pith_short_8: GPBR2HDK

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/GPBR2HDK4W5RN2NZVSQUS5LVRA \
  | 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: 33c31d1c6ae5bb16e9b9aca1497575881586b60e86954a7bb5656fd0f49af4cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62cbd2802bccce24fe5a9cda371014bdc1add24e07c8d1ae5acab0a651852275",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-28T08:30:21Z",
    "title_canon_sha256": "faa8a03a04e76d28700dfd0ab09e62e5fd85bd79013fd50b470115f4b95a42d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5591",
    "kind": "arxiv",
    "version": 1
  }
}