Pith Number

pith:Z6MKJ4S4

pith:2026:Z6MKJ4S4E6RT4P2NYM7NZDMC2B

not attested not anchored not stored refs pending

A proof of Riemann's hypothesis via Hadamard-Weierstrass factorization

Athanasios Christou Micheas

arxiv:2607.04338 v1 · 2026-07-05 · 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{Z6MKJ4S4E6RT4P2NYM7NZDMC2B}

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	2026-07-07T02:19:09.748878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf98a4f25c27a33e3f4dc33edc8d82d043ebea6d6f9480b8b20c7de01dac5215

Aliases

arxiv: 2607.04338 · arxiv_version: 2607.04338v1 · doi: 10.48550/arxiv.2607.04338 · pith_short_12: Z6MKJ4S4E6RT · pith_short_16: Z6MKJ4S4E6RT4P2N · pith_short_8: Z6MKJ4S4

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/Z6MKJ4S4E6RT4P2NYM7NZDMC2B \
  | 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: cf98a4f25c27a33e3f4dc33edc8d82d043ebea6d6f9480b8b20c7de01dac5215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4e9f9f1c9a25d1cea0f8a8e3d3c53abe618b86c4d9f5f5692b91ed391ffac35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-05T14:37:00Z",
    "title_canon_sha256": "ad9b91ab6a95583b540186c2ba1b99d270dbe434ed02c4aaa47fbb6ce0433f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04338",
    "kind": "arxiv",
    "version": 1
  }
}