Pith Number

pith:JQVAULYC

pith:2018:JQVAULYCFUC3AHMZUNBFTLMUMB

not attested not anchored not stored refs pending

On graph Laplacian eigenvectors with components in {-1,0,1}

A. Knippel, I. Khames, J-G. Caputo

arxiv:1806.00072 v2 · 2018-05-31 · math.SP · 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{JQVAULYCFUC3AHMZUNBFTLMUMB}

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	2026-05-18T00:00:35.137961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2a0a2f022d05b01d99a34259ad9460733c1260e2339dc8d061bb4594a0b68f

Aliases

arxiv: 1806.00072 · arxiv_version: 1806.00072v2 · doi: 10.48550/arxiv.1806.00072 · pith_short_12: JQVAULYCFUC3 · pith_short_16: JQVAULYCFUC3AHMZ · pith_short_8: JQVAULYC

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/JQVAULYCFUC3AHMZUNBFTLMUMB \
  | 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: 4c2a0a2f022d05b01d99a34259ad9460733c1260e2339dc8d061bb4594a0b68f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22fa9da0216a323dada39d90987c565fc9759377394ab726f9af725b4a569a20",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-05-31T20:04:40Z",
    "title_canon_sha256": "f2236e21ec0defff442d378766efe80ad6bc22488bb5bc7d0a69afda8925c0bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00072",
    "kind": "arxiv",
    "version": 2
  }
}