Pith Number

pith:GJQ3MDRZ

pith:2020:GJQ3MDRZNEYBX3PQ4GOYF6QPDW

not attested not anchored not stored refs pending

Dominating the direct product of two graphs through total Roman strategies

Abel Cabrera Martinez, Dorota Kuziak, Ismael G. Yero, Iztok Peterin

arxiv:2005.13608 v1 · 2020-05-27 · 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{GJQ3MDRZNEYBX3PQ4GOYF6QPDW}

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	2026-07-05T01:06:23.550365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3261b60e3969301bedf0e19d82fa0f1da7b91c1799e16f124aefb72f69fdb10a

Aliases

arxiv: 2005.13608 · arxiv_version: 2005.13608v1 · doi: 10.48550/arxiv.2005.13608 · pith_short_12: GJQ3MDRZNEYB · pith_short_16: GJQ3MDRZNEYBX3PQ · pith_short_8: GJQ3MDRZ

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/GJQ3MDRZNEYBX3PQ4GOYF6QPDW \
  | 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: 3261b60e3969301bedf0e19d82fa0f1da7b91c1799e16f124aefb72f69fdb10a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d3155150275f3381028413d8b776954ffd791a001a6fc080c9b9dd2a860a04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-05-27T19:35:23Z",
    "title_canon_sha256": "20629332bbbc9ff4714ef9eb90e67ae3858eaea355e14df0ff765696c2977dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.13608",
    "kind": "arxiv",
    "version": 1
  }
}