Pith Number

pith:NBHB7QJJ

pith:2024:NBHB7QJJ54W52XHCBOACV5VDO7

not attested not anchored not stored refs pending

Simple recursions displaying interesting evolutions

Francesco Calogero

arxiv:2405.00370 v1 · 2024-05-01 · 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{NBHB7QJJ54W52XHCBOACV5VDO7}

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

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	2026-07-05T08:14:12.030726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

684e1fc129ef2ddd5ce20b802af6a377d4d86942162e35736c410158f0ec5e6e

Aliases

arxiv: 2405.00370 · arxiv_version: 2405.00370v1 · doi: 10.48550/arxiv.2405.00370 · pith_short_12: NBHB7QJJ54W5 · pith_short_16: NBHB7QJJ54W52XHC · pith_short_8: NBHB7QJJ

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/NBHB7QJJ54W52XHCBOACV5VDO7 \
  | 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: 684e1fc129ef2ddd5ce20b802af6a377d4d86942162e35736c410158f0ec5e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "256ba617a075de7b69747607206c5a1d51213c7e77c55b320a54865764b2199d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2024-05-01T07:53:08Z",
    "title_canon_sha256": "9996c3d573ce8d53de460d1be0e93ed48f144c37d10573ef6a1c79312d89f1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.00370",
    "kind": "arxiv",
    "version": 1
  }
}