Pith Number

pith:F5OQNOH2

pith:2026:F5OQNOH2VMEFDUQO4XWXXM4WCT

not attested not anchored not stored refs pending

On a relation to the Riemann Hypothesis and an analytic part for the divisor function

Hideto Iwata

arxiv:2601.11052 v1 · 2026-01-16 · 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{F5OQNOH2VMEFDUQO4XWXXM4WCT}

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	2026-06-01T01:03:48.461600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5d06b8faab0851d20ee5ed7bb39614e33e9a5c3a8899d7f4f3f6817dbc49e6

Aliases

arxiv: 2601.11052 · arxiv_version: 2601.11052v1 · doi: 10.48550/arxiv.2601.11052 · pith_short_12: F5OQNOH2VMEF · pith_short_16: F5OQNOH2VMEFDUQO · pith_short_8: F5OQNOH2

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/F5OQNOH2VMEFDUQO4XWXXM4WCT \
  | 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: 2f5d06b8faab0851d20ee5ed7bb39614e33e9a5c3a8899d7f4f3f6817dbc49e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96754d202eef491ec1d1b9548f18a8baf3325c2286e37b94a8c70678a584a326",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-01-16T07:37:05Z",
    "title_canon_sha256": "67751cbdd4477016c47d5efa4294aa9433167ef0ad302fa30f5469db338d2030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.11052",
    "kind": "arxiv",
    "version": 1
  }
}