Pith Number

pith:2RDY2VFT

pith:2021:2RDY2VFTC36BFDV3A7EMRJS7WF

not attested not anchored not stored refs pending

On some new families of k-Mersenne and generalized k-Gaussian Mersenne numbers and their polynomials

Jagmohan Tanti, Kalika Prasad, Munesh Kumari

arxiv:2111.09592 v1 · 2021-11-18 · math.NT · 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{2RDY2VFTC36BFDV3A7EMRJS7WF}

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	2026-07-05T03:33:13.068495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4478d54b316fc128ebb07c8c8a65fb17b03ea5dfd1c4439897341ef8369b9fd

Aliases

arxiv: 2111.09592 · arxiv_version: 2111.09592v1 · doi: 10.48550/arxiv.2111.09592 · pith_short_12: 2RDY2VFTC36B · pith_short_16: 2RDY2VFTC36BFDV3 · pith_short_8: 2RDY2VFT

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/2RDY2VFTC36BFDV3A7EMRJS7WF \
  | 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: d4478d54b316fc128ebb07c8c8a65fb17b03ea5dfd1c4439897341ef8369b9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ed6bd4876727205b908a7b763ca78e8da814123b3541aa3d4bec59b4393cdb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-11-18T09:20:44Z",
    "title_canon_sha256": "1b4acefe0b0232e3793850cb52bf194c6836e54e7e6b3b6a68941fb407f9bae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09592",
    "kind": "arxiv",
    "version": 1
  }
}