Pith Number

pith:BIHFS2NV

pith:2024:BIHFS2NVKTIULO2IHD4GI3QF5M

not attested not anchored not stored refs pending

The Period of Ducci Cycles on $\mathbb{Z}_{2^l}$ for Tuples of Length $2^k$

Mark L. Lewis, Shannon M. Tefft

arxiv:2401.17502 v2 · 2024-01-30 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIHFS2NVKTIULO2IHD4GI3QF5M}

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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

Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$

Receipt and verification

First computed	2026-07-05T09:00:35.944427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a0e5969b554d145bb4838f8646e05eb154cf554637b4c04a4d99cfe6228f7b8

Aliases

arxiv: 2401.17502 · arxiv_version: 2401.17502v2 · doi: 10.48550/arxiv.2401.17502 · pith_short_12: BIHFS2NVKTIU · pith_short_16: BIHFS2NVKTIULO2I · pith_short_8: BIHFS2NV

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/BIHFS2NVKTIULO2IHD4GI3QF5M \
  | 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: 0a0e5969b554d145bb4838f8646e05eb154cf554637b4c04a4d99cfe6228f7b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c26164ef548726d438ae2c7f53abdcc3b915b547c0a796501e97389edf9c149",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-01-30T23:29:21Z",
    "title_canon_sha256": "21dbfff051aeff0155c2f3be30b9262d615d46ea40d2661a77b8ea6906171a6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.17502",
    "kind": "arxiv",
    "version": 2
  }
}