Pith Number

pith:GM27PLCB

pith:2023:GM27PLCBMYFTVZNUY3W3AQ3TY6

not attested not anchored not stored refs pending

Joint Universality for the Riemann zeta-function with general shifts

Keita Nakai

arxiv:2312.04269 v2 · 2023-12-07 · 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{GM27PLCBMYFTVZNUY3W3AQ3TY6}

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	2026-07-05T09:36:08.781765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3335f7ac41660b3ae5b4c6edb04373c7af35ff8b89bd5410ce4472d3b8c2441d

Aliases

arxiv: 2312.04269 · arxiv_version: 2312.04269v2 · doi: 10.48550/arxiv.2312.04269 · pith_short_12: GM27PLCBMYFT · pith_short_16: GM27PLCBMYFTVZNU · pith_short_8: GM27PLCB

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/GM27PLCBMYFTVZNUY3W3AQ3TY6 \
  | 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: 3335f7ac41660b3ae5b4c6edb04373c7af35ff8b89bd5410ce4472d3b8c2441d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ccda708dbcd8e735ee1485386e005698df4bd2bfc76e9172e4153f2b9843edc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-07T12:50:46Z",
    "title_canon_sha256": "25f047763fd7da192284e412f5684158185412c318ccf8f11e0f6b740faa922e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.04269",
    "kind": "arxiv",
    "version": 2
  }
}