Pith Number

pith:EM2HF65Z

pith:2026:EM2HF65Z5UMVM2IGYQK4KQMQAV

not attested not anchored not stored refs pending

Mersenne numbers and the doubling map

Antonio Garijo, Llu\'is Alsed\`a, Xavier Jarque

arxiv:2605.29130 v1 · 2026-05-27 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EM2HF65Z5UMVM2IGYQK4KQMQAV}

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	2026-05-29T01:05:19.794011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

233472fbb9ed19566906c415c54190057677b2396493381c88c2358c799918b6

Aliases

arxiv: 2605.29130 · arxiv_version: 2605.29130v1 · doi: 10.48550/arxiv.2605.29130 · pith_short_12: EM2HF65Z5UMV · pith_short_16: EM2HF65Z5UMVM2IG · pith_short_8: EM2HF65Z

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/EM2HF65Z5UMVM2IGYQK4KQMQAV \
  | 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: 233472fbb9ed19566906c415c54190057677b2396493381c88c2358c799918b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ee930b8a957ef66ac2d3e411a4ee384b3167b3823920722ef5257f4e55b6e0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-27T21:43:10Z",
    "title_canon_sha256": "f21a830f67732b8785d17586933426fe7f5c51450a59f4318d2c1f6c05b35e62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29130",
    "kind": "arxiv",
    "version": 1
  }
}