Pith Number

pith:WGU5OS47

pith:2011:WGU5OS47LAYX47BMCNE5J64WX6

not attested not anchored not stored refs pending

The Laplacian eigenvalues of graphs: a survey

Xiao-Dong Zhang

arxiv:1111.2897 v1 · 2011-11-12 · 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{WGU5OS47LAYX47BMCNE5J64WX6}

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

Signless Laplacian spectral radius of simplicial complexes without $r$-dimensional wheels

Receipt and verification

First computed	2026-05-18T03:08:27.443497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1a9d74b9f58317e7c2c1349d4fb96bfa0e64e327c3c5f81c12ed02c74a54ac9

Aliases

arxiv: 1111.2897 · arxiv_version: 1111.2897v1 · doi: 10.48550/arxiv.1111.2897 · pith_short_12: WGU5OS47LAYX · pith_short_16: WGU5OS47LAYX47BM · pith_short_8: WGU5OS47

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/WGU5OS47LAYX47BMCNE5J64WX6 \
  | 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: b1a9d74b9f58317e7c2c1349d4fb96bfa0e64e327c3c5f81c12ed02c74a54ac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50c261282a25eb9de668dd7e15f989a72bc6fa01955276cedc657afdca4a83dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-12T03:13:05Z",
    "title_canon_sha256": "5ae7a8869e974e8384a2fd741d23e6983a2f7dfb0f82c0379778713a424715ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2897",
    "kind": "arxiv",
    "version": 1
  }
}