Pith Number

pith:YRBMCV6M

pith:2018:YRBMCV6M4CFEKZJS6EKLPP6XOY

not attested not anchored not stored refs pending

Global Defensive Alliances in the Lexicographic Product of Paths and Cycles

Leila R. S. da Silva, Mitre C. Dourado, Rommel M. Barbosa

arxiv:1810.08256 v1 · 2018-10-18 · 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{YRBMCV6M4CFEKZJS6EKLPP6XOY}

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	2026-05-18T00:02:48.659381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c442c157cce08a456532f114b7bfd7763d9af1913312c39a613d2e2b9f122337

Aliases

arxiv: 1810.08256 · arxiv_version: 1810.08256v1 · doi: 10.48550/arxiv.1810.08256 · pith_short_12: YRBMCV6M4CFE · pith_short_16: YRBMCV6M4CFEKZJS · pith_short_8: YRBMCV6M

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/YRBMCV6M4CFEKZJS6EKLPP6XOY \
  | 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: c442c157cce08a456532f114b7bfd7763d9af1913312c39a613d2e2b9f122337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ce3882136b2db66a998744ee38f14efdfa9d5ec2d31f9ae8b70531b4d0fe6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-18T19:36:54Z",
    "title_canon_sha256": "6cf6fbe6b1829ceb3d4fb1da91520f13b3a09bce7f22dcb730cb6f31cf81d93a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08256",
    "kind": "arxiv",
    "version": 1
  }
}