Pith Number

pith:4MMLU4RJ

pith:2018:4MMLU4RJD42BABU7ML7UN3D5ZJ

not attested not anchored not stored refs pending

A Graph-Theoretic Approach to the $\mathcal{H}_{\infty}$ Performance of Dynamical Systems on Directed and Undirected Networks

Henrik Sandberg, Karl Henrik Johansson, Mohammad Pirani

arxiv:1804.10483 v1 · 2018-04-27 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MMLU4RJD42BABU7ML7UN3D5ZJ}

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	2026-05-18T00:17:20.649636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e318ba72291f3410069f62ff46ec7dca7319308da7ba83d4bdcdaacda961147a

Aliases

arxiv: 1804.10483 · arxiv_version: 1804.10483v1 · doi: 10.48550/arxiv.1804.10483 · pith_short_12: 4MMLU4RJD42B · pith_short_16: 4MMLU4RJD42BABU7 · pith_short_8: 4MMLU4RJ

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/4MMLU4RJD42BABU7ML7UN3D5ZJ \
  | 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: e318ba72291f3410069f62ff46ec7dca7319308da7ba83d4bdcdaacda961147a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2faec3e73aa052b6be42670f4e81c4c458167f512365b4010f6d77c4dde8497d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-04-27T13:09:12Z",
    "title_canon_sha256": "4cebc78dbc47f5018c1244fee03d588f87c6b04e5b39d0d602320f3c0f04903e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10483",
    "kind": "arxiv",
    "version": 1
  }
}