Pith Number

pith:GZAQG3EI

pith:2025:GZAQG3EIG7RUQFTAN6NTLO6HAH

not attested not anchored not stored refs pending

Nonlinear Joint Spectral Radius

Francesco Tudisco, Nicola Guglielmi, Piero Deidda

arxiv:2507.11314 v1 · 2025-07-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZAQG3EIG7RUQFTAN6NTLO6HAH}

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.

Cited by

1 paper in Pith

The Berger-Wang formula for order-preserving homogeneous maps on cones

Receipt and verification

First computed	2026-07-05T11:37:36.857828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3641036c8837e34816606f9b35bbc701e6705ee76bb406c0f8ade6bbac4aacaa

Aliases

arxiv: 2507.11314 · arxiv_version: 2507.11314v1 · doi: 10.48550/arxiv.2507.11314 · pith_short_12: GZAQG3EIG7RU · pith_short_16: GZAQG3EIG7RUQFTA · pith_short_8: GZAQG3EI

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/GZAQG3EIG7RUQFTAN6NTLO6HAH \
  | 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: 3641036c8837e34816606f9b35bbc701e6705ee76bb406c0f8ade6bbac4aacaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fd79e2ad31c7f965a8e45f63d8c3a7a2ba280bea9a97088dd4953bfe10e45f5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-07-15T13:47:23Z",
    "title_canon_sha256": "666fd15a72e18a5118ce1872d5efb6b2d4855724fff9c29aaf5d612b5bbddc63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11314",
    "kind": "arxiv",
    "version": 1
  }
}