Pith Number

pith:GSM7GQPU

pith:2025:GSM7GQPUNBEUUUDCHBMPSHO5FQ

not attested not anchored not stored refs pending

Infinite matrix of odd natural numbers. A bit about Sophie Germain prime numbers

Gennady Eremin

arxiv:2501.17090 v1 · 2025-01-28 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSM7GQPUNBEUUUDCHBMPSHO5FQ}

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

1 paper in Pith

Calculating the natural density of Mersenne numbers using nonstandard mathematical analysis

Receipt and verification

First computed	2026-07-05T10:06:34.051186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3499f341f468494a50623858f91ddd2c07baa7e42fe35a5cbf34ce2cd720bf04

Aliases

arxiv: 2501.17090 · arxiv_version: 2501.17090v1 · doi: 10.48550/arxiv.2501.17090 · pith_short_12: GSM7GQPUNBEU · pith_short_16: GSM7GQPUNBEUUUDC · pith_short_8: GSM7GQPU

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/GSM7GQPUNBEUUUDCHBMPSHO5FQ \
  | 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: 3499f341f468494a50623858f91ddd2c07baa7e42fe35a5cbf34ce2cd720bf04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb92031cca5d171a63629372ec145c971fcc2e62f4b6d6e46c8c19b27f4eacd6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-01-28T17:24:09Z",
    "title_canon_sha256": "4deb9b7a368628731b7cd45ea66ce6862ee1661fa1be0991cebb6071ce530f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.17090",
    "kind": "arxiv",
    "version": 1
  }
}