Pith Number

pith:XDKBPYV2

pith:2025:XDKBPYV26VHWZHDBEJ6ISSFWJ3

not attested not anchored not stored refs pending

On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers

Ritesh Dwivedi, Rohit Yadav

arxiv:2506.01830 v2 · 2025-06-02 · 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{XDKBPYV26VHWZHDBEJ6ISSFWJ3}

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	2026-07-05T11:15:01.699232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d417e2baf54f6c9c61227c8948b64ed5d4a7c3fb5743b2e02ca3b6357bee4e

Aliases

arxiv: 2506.01830 · arxiv_version: 2506.01830v2 · doi: 10.48550/arxiv.2506.01830 · pith_short_12: XDKBPYV26VHW · pith_short_16: XDKBPYV26VHWZHDB · pith_short_8: XDKBPYV2

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/XDKBPYV26VHWZHDBEJ6ISSFWJ3 \
  | 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: b8d417e2baf54f6c9c61227c8948b64ed5d4a7c3fb5743b2e02ca3b6357bee4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "260f5944a85ab4f5de2baa9aed02b53cf0d5b97a53764815b6a6de89495972ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-02T16:18:03Z",
    "title_canon_sha256": "c34522343027579f68f2c655d68bd5d3a8b4fa388fcbcba06eea79c4176733fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01830",
    "kind": "arxiv",
    "version": 2
  }
}