Pith Number

pith:VKASWBQR

pith:2024:VKASWBQRFB5I5J7OSWMFGCF2PA

not attested not anchored not stored refs pending

Partition density, star arboricity, and sums of Laplacian eigenvalues of graphs

Alan Lew

arxiv:2410.04563 v1 · 2024-10-06 · 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{VKASWBQRFB5I5J7OSWMFGCF2PA}

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

Remarks on the Brouwer Conjecture

Receipt and verification

First computed	2026-07-05T09:16:36.091771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa812b0611287a8ea7ee95985308ba7800ae29fb5fc2d71f5ee884fa38f8fd64

Aliases

arxiv: 2410.04563 · arxiv_version: 2410.04563v1 · doi: 10.48550/arxiv.2410.04563 · pith_short_12: VKASWBQRFB5I · pith_short_16: VKASWBQRFB5I5J7O · pith_short_8: VKASWBQR

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/VKASWBQRFB5I5J7OSWMFGCF2PA \
  | 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: aa812b0611287a8ea7ee95985308ba7800ae29fb5fc2d71f5ee884fa38f8fd64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82502baae1beaeb2cfda846c307f51f93004fc63e562c66ab50e750b676f9ea5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-06T17:35:30Z",
    "title_canon_sha256": "9647718e57129f58c3253ba7585d068c9de9904bc022a2f44f8cc31c1ea76f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.04563",
    "kind": "arxiv",
    "version": 1
  }
}