Pith Number

pith:UN7H2QAP

pith:2025:UN7H2QAPYFU7EEXLIH25EFYNIG

not attested not anchored not stored refs pending

Some properties of the simple nonlinear recursion $y(\ell + 1) = [1-y(\ell)]^p$ with $p$ an arbitrary positive integer

Francesco Calogero

arxiv:2501.09463 v1 · 2025-01-16 · nlin.SI · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UN7H2QAPYFU7EEXLIH25EFYNIG}

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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.

Receipt and verification

First computed	2026-07-05T10:01:56.820742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a37e7d400fc169f212eb41f5d2170d4193d5afda03d4b7bfb9f7b459b607301f

Aliases

arxiv: 2501.09463 · arxiv_version: 2501.09463v1 · doi: 10.48550/arxiv.2501.09463 · pith_short_12: UN7H2QAPYFU7 · pith_short_16: UN7H2QAPYFU7EEXL · pith_short_8: UN7H2QAP

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/UN7H2QAPYFU7EEXLIH25EFYNIG \
  | 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: a37e7d400fc169f212eb41f5d2170d4193d5afda03d4b7bfb9f7b459b607301f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f21e5368a89bc79d68358ce10727fca1a3a4ec06c8b9d3e1929cd6bb40c31ed",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2025-01-16T10:49:51Z",
    "title_canon_sha256": "277bf3716256d043068522341b4a079486005607598aa3bdd6a2ae505cce2c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09463",
    "kind": "arxiv",
    "version": 1
  }
}