Pith Number

pith:BMDN4XQK

pith:2025:BMDN4XQKWPRCVUP34RNHOQY5IP

not attested not anchored not stored refs pending

Prime numbers with an almost prime reverse

Cathy Swaenepoel, C\'ecile Dartyge, Jo\"el Rivat

arxiv:2506.21642 v2 · 2025-06-25 · 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{BMDN4XQKWPRCVUP34RNHOQY5IP}

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.

Cited by

2 papers in Pith

The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem

Receipt and verification

First computed	2026-07-05T11:34:52.541167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b06de5e0ab3e22ad1fbe45a77431d43dee777b08e9ccd9933409a2167549750

Aliases

arxiv: 2506.21642 · arxiv_version: 2506.21642v2 · doi: 10.48550/arxiv.2506.21642 · pith_short_12: BMDN4XQKWPRC · pith_short_16: BMDN4XQKWPRCVUP3 · pith_short_8: BMDN4XQK

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/BMDN4XQKWPRCVUP34RNHOQY5IP \
  | 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: 0b06de5e0ab3e22ad1fbe45a77431d43dee777b08e9ccd9933409a2167549750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "617ef83f3461b53cebee0ea220a318835cc3b42fe247da8936ff8d4fbd204ec9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-25T20:56:01Z",
    "title_canon_sha256": "fa3ad1d1860119e564216376925c7ae985bd79c0b9792ce9e335636b9621e219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21642",
    "kind": "arxiv",
    "version": 2
  }
}