Pith Number

pith:4HFQ2W67

pith:2024:4HFQ2W67FAV7ME45QX4WB4XQCJ

not attested not anchored not stored refs pending

On the Metric Dimension of $K_a \times K_b \times K_c$

Gerold J\"ager, Valentin Gledel

arxiv:2408.17229 v1 · 2024-08-30 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HFQ2W67FAV7ME45QX4WB4XQCJ}

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.

Cited by

1 paper in Pith

Metric Dimension of a Direct Product of Three Complete Graphs: The Middle Cone Family

Receipt and verification

First computed	2026-07-05T09:01:12.556259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1cb0d5bdf282bf6139d85f960f2f0125546d96cd84430fcc4fc287088d4c520

Aliases

arxiv: 2408.17229 · arxiv_version: 2408.17229v1 · doi: 10.48550/arxiv.2408.17229 · pith_short_12: 4HFQ2W67FAV7 · pith_short_16: 4HFQ2W67FAV7ME45 · pith_short_8: 4HFQ2W67

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/4HFQ2W67FAV7ME45QX4WB4XQCJ \
  | 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: e1cb0d5bdf282bf6139d85f960f2f0125546d96cd84430fcc4fc287088d4c520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8556207a7bb4f9e8be1c82c4cacc8d85f6616f4fdd20a60194260b2645a4684",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-30T12:16:22Z",
    "title_canon_sha256": "054d15ef09260f8a0c16eeb6f310ce4e355c4581c9b1b2964a55a0f39b336b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.17229",
    "kind": "arxiv",
    "version": 1
  }
}