Pith Number

pith:CD4M5XCA

pith:2015:CD4M5XCADNBIYQXXX6TFK2ALLE

not attested not anchored not stored refs pending

Prime Power Divisibility,Periodicity and Other Properties of Some Second Order Recurrences

Shankar M. Venkatesan, Soumyabrata Pal

arxiv:1509.03794 v2 · 2015-09-13 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CD4M5XCADNBIYQXXX6TFK2ALLE}

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	2026-05-18T01:31:29.572964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10f8cedc401b428c42f7bfa655680b592ea55b3dd4a41b3743f8d9595df20726

Aliases

arxiv: 1509.03794 · arxiv_version: 1509.03794v2 · doi: 10.48550/arxiv.1509.03794 · pith_short_12: CD4M5XCADNBI · pith_short_16: CD4M5XCADNBIYQXX · pith_short_8: CD4M5XCA

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/CD4M5XCADNBIYQXXX6TFK2ALLE \
  | 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: 10f8cedc401b428c42f7bfa655680b592ea55b3dd4a41b3743f8d9595df20726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a99a1b84add3f9b4fb08c198124f2213cf4f58f4955d92b3a02e2da23a2cfda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-13T02:16:29Z",
    "title_canon_sha256": "22a99f71d4d8e1b8f9457550ee34bfa5700205aacbfff9c29e97bd3785949d3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03794",
    "kind": "arxiv",
    "version": 2
  }
}