Pith Number

pith:WVBMV4IF

pith:2013:WVBMV4IFKRSCHBG6TF4GTVKPI3

not attested not anchored not stored refs pending

Signless laplacian characteristic polynomials of regular graph transformations

B. Zhou, Jianping Li

arxiv:1303.5527 v1 · 2013-03-22 · 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{WVBMV4IFKRSCHBG6TF4GTVKPI3}

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	2026-05-18T03:30:03.970138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b542caf10554642384de997869d54f46f9874653cdcb8168de890a157443254c

Aliases

arxiv: 1303.5527 · arxiv_version: 1303.5527v1 · doi: 10.48550/arxiv.1303.5527 · pith_short_12: WVBMV4IFKRSC · pith_short_16: WVBMV4IFKRSCHBG6 · pith_short_8: WVBMV4IF

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/WVBMV4IFKRSCHBG6TF4GTVKPI3 \
  | 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: b542caf10554642384de997869d54f46f9874653cdcb8168de890a157443254c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4141f2b636246583d46c178672ffefe62e456c1a3bec62635e3947a79203e1c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-22T06:43:41Z",
    "title_canon_sha256": "e99eb58fc8f72c981d89fdf82c2745b6ed9397f27bf1f0693d5161ed3d85efe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5527",
    "kind": "arxiv",
    "version": 1
  }
}