Pith Number

pith:2MXNIC6L

pith:2021:2MXNIC6LS7QX7BPG75YVQOLKBN

not attested not anchored not stored refs pending

Maximizing the Smallest Eigenvalue of Grounded Laplacian Matrix

Run Wang, Wei Li, Xiaotian Zhou, Zhongzhi Zhang

arxiv:2110.12576 v4 · 2021-10-25 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MXNIC6LS7QX7BPG75YVQOLKBN}

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	2026-07-05T05:51:24.553503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d32ed40bcb97e17f85e6ff7158396a0b68123a579f9bb136b928ffb5e980511b

Aliases

arxiv: 2110.12576 · arxiv_version: 2110.12576v4 · doi: 10.48550/arxiv.2110.12576 · pith_short_12: 2MXNIC6LS7QX · pith_short_16: 2MXNIC6LS7QX7BPG · pith_short_8: 2MXNIC6L

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/2MXNIC6LS7QX7BPG75YVQOLKBN \
  | 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: d32ed40bcb97e17f85e6ff7158396a0b68123a579f9bb136b928ffb5e980511b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71b61f9b9851b89e7979ecbf043cdb897534b64a1fcf208b1f7b99537e8f7bca",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-10-25T01:45:50Z",
    "title_canon_sha256": "79d36c936160204bafb47fbbc96e19e5375677bda295dfb2c9f40dbe99f47160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.12576",
    "kind": "arxiv",
    "version": 4
  }
}