Pith Number

pith:YGGR452O

pith:2011:YGGR452OLAKJKOQMOLSJ43HYIE

not attested not anchored not stored refs pending

Structural Analysis of Laplacian Spectral Properties of Large-Scale Networks

Ali Jadbabaie, George C. Verghese, Victor M. Preciado

arxiv:1107.5676 v3 · 2011-07-28 · math.OC · cs.CE · cs.DM · cs.SI · cs.SY · physics.data-an · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGGR452OLAKJKOQMOLSJ43HYIE}

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	2026-05-18T00:58:43.377517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c18d1e774e5814953a0c72e49e6cf8412911eec9b46d9949e495bb7ebf74183e

Aliases

arxiv: 1107.5676 · arxiv_version: 1107.5676v3 · doi: 10.48550/arxiv.1107.5676 · pith_short_12: YGGR452OLAKJ · pith_short_16: YGGR452OLAKJKOQM · pith_short_8: YGGR452O

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/YGGR452OLAKJKOQMOLSJ43HYIE \
  | 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: c18d1e774e5814953a0c72e49e6cf8412911eec9b46d9949e495bb7ebf74183e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01f44cf0acfda0618d2842bc978ce3f3410e18c0c33c829acc308098d48b3a5a",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.DM",
      "cs.SI",
      "cs.SY",
      "physics.data-an",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-07-28T10:55:39Z",
    "title_canon_sha256": "117ce82b1016c3dd33790aaf1094ef79dc55020223fecc1669d332d64e26a548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5676",
    "kind": "arxiv",
    "version": 3
  }
}