Pith Number

pith:A226A6NZ

pith:2024:A226A6NZLBB7A7ASDOM6RA5GDV

not attested not anchored not stored refs pending

Fault Tolerant Metric Dimensions of Leafless Cacti Graphs with Application in Supply Chain Management

Faisal Yousafzai, Ghulam Haidar, Murad Ul Islam Khan, Qaisar Khan, Rakea Fatima, Tauseef Asif

arxiv:2409.12199 v1 · 2024-09-09 · cs.DM · 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{A226A6NZLBB7A7ASDOM6RA5GDV}

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	2026-05-22T01:03:40.428241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b5e079b95843f07c121b99e883a61d7ddd33e6f58b138735743987b5e6fa64

Aliases

arxiv: 2409.12199 · arxiv_version: 2409.12199v1 · doi: 10.48550/arxiv.2409.12199 · pith_short_12: A226A6NZLBB7 · pith_short_16: A226A6NZLBB7A7AS · pith_short_8: A226A6NZ

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/A226A6NZLBB7A7ASDOM6RA5GDV \
  | 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: 06b5e079b95843f07c121b99e883a61d7ddd33e6f58b138735743987b5e6fa64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17d81206502a54b706432427d87d00933050d072b608ad275f2f5145d1ecdbd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2024-09-09T07:38:15Z",
    "title_canon_sha256": "9e0c9dfdbe1a6e8f903e687d3dbe6c917c5ac067099eb0ce955e2ea730ca52dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.12199",
    "kind": "arxiv",
    "version": 1
  }
}