Pith Number

pith:CL3K6PJO

pith:2026:CL3K6PJOIZG3TTPLZ6DM4QQ7C3

not attested not anchored not stored refs pending

The set of primes is supernatural: a Lean formalization of the statement of the conjecture

A. Mayeux

arxiv:2608.08643 v1 · 2026-08-09 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CL3K6PJOIZG3TTPLZ6DM4QQ7C3}

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	2026-08-11T01:23:15.563111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f6af3d2e464db9cdebcf86ce421f16cbc8084085ba3d3426af1d204a878b2b

Aliases

arxiv: 2608.08643 · arxiv_version: 2608.08643v1 · doi: 10.48550/arxiv.2608.08643 · pith_short_12: CL3K6PJOIZG3 · pith_short_16: CL3K6PJOIZG3TTPL · pith_short_8: CL3K6PJO

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/CL3K6PJOIZG3TTPLZ6DM4QQ7C3 \
  | 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: 12f6af3d2e464db9cdebcf86ce421f16cbc8084085ba3d3426af1d204a878b2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecc499627475741e2e1260a63d1bf40a7984f13ae2f146b38f341c6d875d1b55",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-08-09T11:30:49Z",
    "title_canon_sha256": "77cd4d79758c624b6b3ebbc1c5af65350ac551713f391d7dd43c3dec7c6eab00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08643",
    "kind": "arxiv",
    "version": 1
  }
}