Pith Number

pith:SVY7LCJW

pith:2025:SVY7LCJWJD65AFAICHL5PYDUQN

not attested not anchored not stored refs pending

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

Briana Foster-Greenwood, Christine Uhl

arxiv:2507.16169 v1 · 2025-07-22 · 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{SVY7LCJWJD65AFAICHL5PYDUQN}

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	2026-07-05T11:41:04.452224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9571f5893648fdd0140811d7d7e074837a608ffc893c412c9ef292c2dcf2a5d8

Aliases

arxiv: 2507.16169 · arxiv_version: 2507.16169v1 · doi: 10.48550/arxiv.2507.16169 · pith_short_12: SVY7LCJWJD65 · pith_short_16: SVY7LCJWJD65AFAI · pith_short_8: SVY7LCJW

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/SVY7LCJWJD65AFAICHL5PYDUQN \
  | 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: 9571f5893648fdd0140811d7d7e074837a608ffc893c412c9ef292c2dcf2a5d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9b4464018bb76df4a71c138c067b0267ab71866aeacece69a66f7c41ba6e88",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-22T02:35:16Z",
    "title_canon_sha256": "52a59a3ec6547bc2797845503f464961c3d9277492eee23288470fa17d273382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16169",
    "kind": "arxiv",
    "version": 1
  }
}