Pith Number

pith:4M6ANHXP

pith:2012:4M6ANHXPIMMRN4LFKMLU7ANC4J

not attested not anchored not stored refs pending

Graphs whose normalized Laplacian has three eigenvalues

Edwin R. van Dam, Gholamreza Omidi

arxiv:1202.3027 v1 · 2012-02-14 · 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{4M6ANHXPIMMRN4LFKMLU7ANC4J}

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	2026-05-18T04:02:24.329822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33c069eef431916f16553174f81a2e240193c301097b5f1b96816142720645b

Aliases

arxiv: 1202.3027 · arxiv_version: 1202.3027v1 · doi: 10.48550/arxiv.1202.3027 · pith_short_12: 4M6ANHXPIMMR · pith_short_16: 4M6ANHXPIMMRN4LF · pith_short_8: 4M6ANHXP

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/4M6ANHXPIMMRN4LFKMLU7ANC4J \
  | 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: e33c069eef431916f16553174f81a2e240193c301097b5f1b96816142720645b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb60b06ea71cf4ca4cf9476c1f6aab3e80b32d313677efadc607b0453e744fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-14T12:57:12Z",
    "title_canon_sha256": "a3c1e53b71cbda1fac090cd782465fdc51e35ca4f03496fb6479669b09c433b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3027",
    "kind": "arxiv",
    "version": 1
  }
}