Pith Number

pith:ZGBGNTTK

pith:2016:ZGBGNTTKWNBOZU757SQ2RI4BVC

not attested not anchored not stored refs pending

Domination polynomial of clique cover product of graphs

Saeid Alikhani, Somayeh Jahari

arxiv:1605.02291 v1 · 2016-05-08 · 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{ZGBGNTTKWNBOZU757SQ2RI4BVC}

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	2026-05-18T01:15:21.350238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c98266ce6ab342ecd3fdfca1a8a381a8adf57cd76823a81a6d7597ae06a81d9b

Aliases

arxiv: 1605.02291 · arxiv_version: 1605.02291v1 · doi: 10.48550/arxiv.1605.02291 · pith_short_12: ZGBGNTTKWNBO · pith_short_16: ZGBGNTTKWNBOZU75 · pith_short_8: ZGBGNTTK

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/ZGBGNTTKWNBOZU757SQ2RI4BVC \
  | 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: c98266ce6ab342ecd3fdfca1a8a381a8adf57cd76823a81a6d7597ae06a81d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebfa3a20cc349a0fc7f73da19135a0718598ceb2a6518bc63754f1b734bbf7bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-08T08:15:30Z",
    "title_canon_sha256": "21f95ccb1822c04a529042e395f296834dc3a3ea954cc0fb7c98ba16392e56dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02291",
    "kind": "arxiv",
    "version": 1
  }
}