Pith Number

pith:T7BPJPZ5

pith:2011:T7BPJPZ5OV4DN44ZYHKZGCP2CM

not attested not anchored not stored refs pending

A Collatz-Wielandt characterization of the spectral radius of order-preserving homogeneous maps on cones

Marianne Akian, Roger Nussbaum, Stephane Gaubert

arxiv:1112.5968 v2 · 2011-12-27 · math.FA · math.OC · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7BPJPZ5OV4DN44ZYHKZGCP2CM}

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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

Sampling pseudospectrum for data-driven matrices

Receipt and verification

First computed	2026-05-18T02:54:28.160952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc2f4bf3d757836f399c1d59309fa1326be72bcc4b6de5d38a08364e5f32568

Aliases

arxiv: 1112.5968 · arxiv_version: 1112.5968v2 · doi: 10.48550/arxiv.1112.5968 · pith_short_12: T7BPJPZ5OV4D · pith_short_16: T7BPJPZ5OV4DN44Z · pith_short_8: T7BPJPZ5

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/T7BPJPZ5OV4DN44ZYHKZGCP2CM \
  | 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: 9fc2f4bf3d757836f399c1d59309fa1326be72bcc4b6de5d38a08364e5f32568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7db7771660f31a8e38c2f7bbe4ed560c4066fa97b30b564790be07338edceff",
    "cross_cats_sorted": [
      "math.OC",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-27T15:06:47Z",
    "title_canon_sha256": "1be215ee798d6b9f74f3f45b51afe329e80258dbd632230baedc1ce23195da2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5968",
    "kind": "arxiv",
    "version": 2
  }
}