Pith Number

pith:ZUAEQETD

pith:2026:ZUAEQETD2GFN4M3GBPCK4QKZHS

not attested not anchored not stored refs pending

On some arithmetic conditions of recurrent sequences modulo prime p

Ilya Vyugin, Sashadhar Dutta

arxiv:2605.24146 v1 · 2026-05-22 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUAEQETD2GFN4M3GBPCK4QKZHS}

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	2026-05-26T01:02:48.663640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd00481263d18ade33660bc4ae41593c830cfe27bb756bbc8a9f42d76c966276

Aliases

arxiv: 2605.24146 · arxiv_version: 2605.24146v1 · doi: 10.48550/arxiv.2605.24146 · pith_short_12: ZUAEQETD2GFN · pith_short_16: ZUAEQETD2GFN4M3G · pith_short_8: ZUAEQETD

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/ZUAEQETD2GFN4M3GBPCK4QKZHS \
  | 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: cd00481263d18ade33660bc4ae41593c830cfe27bb756bbc8a9f42d76c966276

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d3de689979a35f83f0bbad5f3d129daacf1a3f6b175b73794de892aeeb8a5dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-22T19:09:06Z",
    "title_canon_sha256": "9b467f10ac024ed6f0251e7b33d1323ba4e3227dca8af7adb3a05ca29e5134e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24146",
    "kind": "arxiv",
    "version": 1
  }
}