Pith Number

pith:SV62SFOZ

pith:2016:SV62SFOZBQBGX6XV4H35W3JKRM

not attested not anchored not stored refs pending

On graphs with three or four distinct normalized Laplacian eigenvalues

Qiongxiang Huang, Xueyi Huang

arxiv:1611.05311 v2 · 2016-11-16 · 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{SV62SFOZBQBGX6XV4H35W3JKRM}

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	2026-05-18T00:47:56.655875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

957da915d90c026bfaf5e1f7db6d2a8b015c11b50dcc4cfcb391a0699e95ecc4

Aliases

arxiv: 1611.05311 · arxiv_version: 1611.05311v2 · doi: 10.48550/arxiv.1611.05311 · pith_short_12: SV62SFOZBQBG · pith_short_16: SV62SFOZBQBGX6XV · pith_short_8: SV62SFOZ

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/SV62SFOZBQBGX6XV4H35W3JKRM \
  | 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: 957da915d90c026bfaf5e1f7db6d2a8b015c11b50dcc4cfcb391a0699e95ecc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de23a7850276362de792608416a536179c6be776acf945b8ae7226bafd5fa2a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-16T15:20:10Z",
    "title_canon_sha256": "05472f6aa8a075108c4e460fea6770dce553a811294745037281a57058ec178a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05311",
    "kind": "arxiv",
    "version": 2
  }
}