Pith Number

pith:NTVJ6JU3

pith:2017:NTVJ6JU3SVXR4NVKY2P7QPOF27

not attested not anchored not stored refs pending

On monopoly and dynamic monopoly of Cartesian product of graphs with constant thresholds

Manouchehr Zaker, Nahideh Asadi

arxiv:1712.06483 v1 · 2017-12-18 · 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{NTVJ6JU3SVXR4NVKY2P7QPOF27}

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	2026-05-18T00:27:47.720652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cea9f269b956f1e36aac69ff83dc5d7d24e6ce0bc3ab1325b71bda79f37db3d

Aliases

arxiv: 1712.06483 · arxiv_version: 1712.06483v1 · doi: 10.48550/arxiv.1712.06483 · pith_short_12: NTVJ6JU3SVXR · pith_short_16: NTVJ6JU3SVXR4NVK · pith_short_8: NTVJ6JU3

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/NTVJ6JU3SVXR4NVKY2P7QPOF27 \
  | 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: 6cea9f269b956f1e36aac69ff83dc5d7d24e6ce0bc3ab1325b71bda79f37db3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db81d1c61096e4aad129f354038b335e94864271df9b3e97215f00e5638753b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-18T15:54:41Z",
    "title_canon_sha256": "6758fce9d50eb55e9a20c8c86b42494dadaecd9bc1512928f233365408888c2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06483",
    "kind": "arxiv",
    "version": 1
  }
}