Pith Number

pith:MDOFMI6V

pith:2012:MDOFMI6VE6JTOH6QYXYQGZJAK5

not attested not anchored not stored refs pending

Computing global offensive alliances in Cartesian product graphs

Ismael G. Yero, Juan A. Rodr\'iguez-Vel\'azquez

arxiv:1204.0494 v2 · 2012-04-02 · 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{MDOFMI6VE6JTOH6QYXYQGZJAK5}

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	2026-05-18T03:50:10.619307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60dc5623d52793371fd0c5f103652057493689cb5326779cae00cc13f13dfb5e

Aliases

arxiv: 1204.0494 · arxiv_version: 1204.0494v2 · doi: 10.48550/arxiv.1204.0494 · pith_short_12: MDOFMI6VE6JT · pith_short_16: MDOFMI6VE6JTOH6Q · pith_short_8: MDOFMI6V

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/MDOFMI6VE6JTOH6QYXYQGZJAK5 \
  | 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: 60dc5623d52793371fd0c5f103652057493689cb5326779cae00cc13f13dfb5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c79f023edf6aa9e5cd33461b73d268e93038aa028cb71cd0e3d079438bfa964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-02T18:46:57Z",
    "title_canon_sha256": "7438641cd6e260b16054ffa65cdd19746d80321e5167b3243929d789156730a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0494",
    "kind": "arxiv",
    "version": 2
  }
}