Pith Number

pith:H3HSG23R

pith:2024:H3HSG23ROKIIIIVYSVGURRKKYL

not attested not anchored not stored refs pending

The Competive Spectral Radius of Families of Nonexpansive Mappings

Lo\"ic Marchesini, Marianne Akian, St\'ephane Gaubert

arxiv:2410.21097 v2 · 2024-10-28 · math.OC · 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{H3HSG23ROKIIIIVYSVGURRKKYL}

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

Nonlinear Joint Spectral Radius

Receipt and verification

First computed	2026-07-05T11:29:51.499795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ecf236b7172908422b8954d48c54ac2f06336399b9a5e1f0d52dc662cd5dcc4

Aliases

arxiv: 2410.21097 · arxiv_version: 2410.21097v2 · doi: 10.48550/arxiv.2410.21097 · pith_short_12: H3HSG23ROKII · pith_short_16: H3HSG23ROKIIIIVY · pith_short_8: H3HSG23R

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/H3HSG23ROKIIIIVYSVGURRKKYL \
  | 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: 3ecf236b7172908422b8954d48c54ac2f06336399b9a5e1f0d52dc662cd5dcc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b9d842794e639e66d4b650e63bd8a02822a97d36565984c07353eb18c2e335",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-10-28T15:02:15Z",
    "title_canon_sha256": "94fbc785a1ca84f22a69964534ca0236565a7aa01bacbad0db0d9b1b395111c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.21097",
    "kind": "arxiv",
    "version": 2
  }
}