Pith Number

pith:7JHX6BBR

pith:2026:7JHX6BBRODXTAQCANQLFIDGSM5

not attested not anchored not stored refs pending

A Gaussian-Perron Smoothed Prime-Side Defect for Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function

Netzer Moriya

arxiv:2607.04316 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{7JHX6BBRODXTAQCANQLFIDGSM5}

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	2026-07-07T02:19:08.473988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa4f7f043170ef3040406c16540cd2675f15fe365c71c7aafe8dc00870b2075f

Aliases

arxiv: 2607.04316 · arxiv_version: 2607.04316v1 · doi: 10.48550/arxiv.2607.04316 · pith_short_12: 7JHX6BBRODXT · pith_short_16: 7JHX6BBRODXTAQCA · pith_short_8: 7JHX6BBR

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/7JHX6BBRODXTAQCANQLFIDGSM5 \
  | 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: fa4f7f043170ef3040406c16540cd2675f15fe365c71c7aafe8dc00870b2075f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d482156e715a1c47e6f7699b3a4f1878b43badfe0ffc063eb3ff2499c8c920",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-05T14:07:00Z",
    "title_canon_sha256": "74a7f56457e4683983f3dc9e9794e5e6c83181db74cb568bfc1c4fa7593efd41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04316",
    "kind": "arxiv",
    "version": 1
  }
}