Pith Number

pith:IVSXT25V

pith:2012:IVSXT25V3IKC7PSKSQKQFW6QUR

not attested not anchored not stored refs pending

Exponential growth of norms in semigroups of linear automorphisms and Hausdorff dimension of self-projective IFS

Roberto De Leo

arxiv:1204.0250 v1 · 2012-04-01 · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IVSXT25V3IKC7PSKSQKQFW6QUR}

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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

A framework for the study of the qualitative dynamics of general Iterated Function Systems

Receipt and verification

First computed	2026-05-18T03:58:49.785471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

456579ebb5da142fbe4a941502dbd0a453e0aaf548dbf57c9e61aa53d8d0df2e

Aliases

arxiv: 1204.0250 · arxiv_version: 1204.0250v1 · doi: 10.48550/arxiv.1204.0250 · pith_short_12: IVSXT25V3IKC · pith_short_16: IVSXT25V3IKC7PSK · pith_short_8: IVSXT25V

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/IVSXT25V3IKC7PSKSQKQFW6QUR \
  | 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: 456579ebb5da142fbe4a941502dbd0a453e0aaf548dbf57c9e61aa53d8d0df2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a4d0eb7991eb7a111f9e5e286cc923f73b667d686312bb39278b1370e0cde82",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-01T18:04:44Z",
    "title_canon_sha256": "6ab2773653c1c97d6e4049b2f52375bb2e52334b3f4fd7ec41fc8e55f531e186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0250",
    "kind": "arxiv",
    "version": 1
  }
}