Pith Number

pith:ELE7IY6D

pith:2025:ELE7IY6D7NUDUFWX4NQIVPWZQS

not attested not anchored not stored refs pending

Multi-scale representation of integer sets: application to prime numbers

Mahmoud Melkemi

arxiv:2506.03005 v2 · 2025-06-03 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELE7IY6D7NUDUFWX4NQIVPWZQS}

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	2026-07-05T11:35:56.516264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22c9f463c3fb683a16d7e3608abed9848e0a035af8a4e20eb8de2e74f0713a66

Aliases

arxiv: 2506.03005 · arxiv_version: 2506.03005v2 · doi: 10.48550/arxiv.2506.03005 · pith_short_12: ELE7IY6D7NUD · pith_short_16: ELE7IY6D7NUDUFWX · pith_short_8: ELE7IY6D

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/ELE7IY6D7NUDUFWX4NQIVPWZQS \
  | 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: 22c9f463c3fb683a16d7e3608abed9848e0a035af8a4e20eb8de2e74f0713a66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfedf63b9d4e84961d73efa578dded0cc6b35b50a0c09d2879a0e904e73ad710",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-06-03T15:44:13Z",
    "title_canon_sha256": "7fde720bfff99bcad0196944e55130ca839aa816eb0a5b0f648b6d034288022f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03005",
    "kind": "arxiv",
    "version": 2
  }
}