Pith Number

pith:VL4QFMVZ

pith:2024:VL4QFMVZWLJUE2NEVSA3CLSHSA

not attested not anchored not stored refs pending

Solvable nonlinear systems of 2 recursions displaying interesting evolutions

Francesco Calogero

arxiv:2407.18270 v1 · 2024-07-20 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VL4QFMVZWLJUE2NEVSA3CLSHSA}

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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

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

Receipt and verification

First computed	2026-07-05T08:48:47.006777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf902b2b9b2d34269a4ac81b12e47902e9b065d7c4499bbc829b09ec4997719

Aliases

arxiv: 2407.18270 · arxiv_version: 2407.18270v1 · doi: 10.48550/arxiv.2407.18270 · pith_short_12: VL4QFMVZWLJU · pith_short_16: VL4QFMVZWLJUE2NE · pith_short_8: VL4QFMVZ

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/VL4QFMVZWLJUE2NEVSA3CLSHSA \
  | 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: aaf902b2b9b2d34269a4ac81b12e47902e9b065d7c4499bbc829b09ec4997719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14245d8d80ac7ae9a2a0b6037e248d7177591a0757042644e6a327626568ad4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2024-07-20T10:08:16Z",
    "title_canon_sha256": "427a2cbdb99407559c1335766043749750b0fe7deae44f1d77916834b13cec87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.18270",
    "kind": "arxiv",
    "version": 1
  }
}