Pith Number

pith:TYX5NP3R

pith:2026:TYX5NP3R4MGYVQWVT3ZY3KRGFC

not attested not anchored not stored refs pending

A $3$-adic Recurrence for the Fixed Points of the Josephus Function $J_4$

Roy Quintero-Contreras, Yunier Bello-Cruz

arxiv:2607.01270 v1 · 2026-06-30 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYX5NP3R4MGYVQWVT3ZY3KRGFC}

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.

Receipt and verification

First computed	2026-07-03T00:16:55.953152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2fd6bf71e30d8ac2d59ef38daa2628931036a101556e33924433338b3bf234

Aliases

arxiv: 2607.01270 · arxiv_version: 2607.01270v1 · doi: 10.48550/arxiv.2607.01270 · pith_short_12: TYX5NP3R4MGY · pith_short_16: TYX5NP3R4MGYVQWV · pith_short_8: TYX5NP3R

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/TYX5NP3R4MGYVQWVT3ZY3KRGFC \
  | 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: 9e2fd6bf71e30d8ac2d59ef38daa2628931036a101556e33924433338b3bf234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9eef671864045ff9954e5afc6c4c4c9fc824fe899ec56ff7e3d7cd93c27391a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-06-30T15:10:21Z",
    "title_canon_sha256": "fb49515f38c98fa4604358dfacbe8aca7f9c0455ff7b6d6727a006d8299d0231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01270",
    "kind": "arxiv",
    "version": 1
  }
}