Pith Number

pith:LNKLZSDR

pith:2017:LNKLZSDR2SK5M24NIKZ42L2LLW

not attested not anchored not stored refs pending

Barabanov norms, Lipschitz continuity and monotonicity for the max algebraic joint spectral radius

Fabian Wirth, Nicola Guglielmi, Oliver Mason

arxiv:1705.02008 v1 · 2017-05-04 · math.OC · 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{LNKLZSDR2SK5M24NIKZ42L2LLW}

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	2026-05-18T00:45:00.871210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b54bcc871d495d66b8d42b3cd2f4b5da0028eba249904a41dd59092a2c4bfab

Aliases

arxiv: 1705.02008 · arxiv_version: 1705.02008v1 · doi: 10.48550/arxiv.1705.02008 · pith_short_12: LNKLZSDR2SK5 · pith_short_16: LNKLZSDR2SK5M24N · pith_short_8: LNKLZSDR

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/LNKLZSDR2SK5M24NIKZ42L2LLW \
  | 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: 5b54bcc871d495d66b8d42b3cd2f4b5da0028eba249904a41dd59092a2c4bfab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35079164ff0432e513bbd8111238b0a00ea471f5420bdf9855d77e7207d2b6eb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-04T20:42:19Z",
    "title_canon_sha256": "53ef1850dd089d90c5948183e1bc81524fc9f5a7d52b5e11bd45a18600c0ee54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02008",
    "kind": "arxiv",
    "version": 1
  }
}