Pith Number

pith:7XYCQ2EV

pith:2026:7XYCQ2EVMPY6I23264CVQEMLRI

not attested not anchored not stored refs pending

Euclidean Steiner Shallow-Light Trees in Higher Dimensions

Csaba D. T\'oth, Devin Frost, Kimberly Kokado

arxiv:2605.26633 v1 · 2026-05-26 · cs.CG · 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{7XYCQ2EVMPY6I23264CVQEMLRI}

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	2026-05-27T01:06:03.051763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf028689563f1e46b7af70558118b8a1adff5eab99e9a853d47299f3e3134d4

Aliases

arxiv: 2605.26633 · arxiv_version: 2605.26633v1 · doi: 10.48550/arxiv.2605.26633 · pith_short_12: 7XYCQ2EVMPY6 · pith_short_16: 7XYCQ2EVMPY6I232 · pith_short_8: 7XYCQ2EV

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/7XYCQ2EVMPY6I23264CVQEMLRI \
  | 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: fdf028689563f1e46b7af70558118b8a1adff5eab99e9a853d47299f3e3134d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ffc540781079e2961f2036df572e36ed04f25ed31812682c3f404a0a513b000",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2026-05-26T07:12:37Z",
    "title_canon_sha256": "d8a20b5912c05a2819eab602b8481d67a09a5dc51db7fe17321e0c7db69e5df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26633",
    "kind": "arxiv",
    "version": 1
  }
}