Pith Number

pith:J2A2TGWS

pith:2024:J2A2TGWSXZLFUHGLOE2ESVZUT4

not attested not anchored not stored refs pending

The Maximum Length for Ducci Sequences on $\mathbb{}Z_m^n$ when $n$ is Even

Mark L. Lewis, Shannon M. Tefft

arxiv:2410.18204 v1 · 2024-10-23 · 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{J2A2TGWSXZLFUHGLOE2ESVZUT4}

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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	2026-07-05T09:25:04.814665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e81a99ad2be565a1ccb71344957349f36a0dd2a579a97ab95946aa1ba24e05d

Aliases

arxiv: 2410.18204 · arxiv_version: 2410.18204v1 · doi: 10.48550/arxiv.2410.18204 · pith_short_12: J2A2TGWSXZLF · pith_short_16: J2A2TGWSXZLFUHGL · pith_short_8: J2A2TGWS

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/J2A2TGWSXZLFUHGLOE2ESVZUT4 \
  | 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: 4e81a99ad2be565a1ccb71344957349f36a0dd2a579a97ab95946aa1ba24e05d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "322d849c62ac2b93b9f0760b871392b0ef2fe67a21c8c5e7b1041d7c7bd81a2f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-23T18:16:45Z",
    "title_canon_sha256": "b8852bd43fc4ade3005e1b8d933acc88c50f5aa2e73b50705ee9abe5b3a6ed54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.18204",
    "kind": "arxiv",
    "version": 1
  }
}