Pith Number

pith:HUJ7LBFK

pith:2026:HUJ7LBFKRSU7IYDUP237BWYY4X

not attested not anchored not stored refs pending

Bounds for Mertens Sums

Andrew Fiori, Habiba Kadiri, Kirsten Wilk, Nathan Ng, Samuel Broadbent

arxiv:2608.01498 v1 · 2026-08-02 · 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{HUJ7LBFKRSU7IYDUP237BWYY4X}

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	2026-08-04T02:05:45.363946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d13f584aa8ca9f460747eb7f0db18e5f26aef60c7709301cc9d143651b4f46f

Aliases

arxiv: 2608.01498 · arxiv_version: 2608.01498v1 · doi: 10.48550/arxiv.2608.01498 · pith_short_12: HUJ7LBFKRSU7 · pith_short_16: HUJ7LBFKRSU7IYDU · pith_short_8: HUJ7LBFK

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/HUJ7LBFKRSU7IYDUP237BWYY4X \
  | 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: 3d13f584aa8ca9f460747eb7f0db18e5f26aef60c7709301cc9d143651b4f46f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23ce5489408263b7c7ad0468fbf89fdde5cd71491615989aad1805a00410a3d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-02T21:00:11Z",
    "title_canon_sha256": "e3f1288dfb1c061b896738b11cf3fcfc3c9915dd2573a3486640d6cc2e2d6945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01498",
    "kind": "arxiv",
    "version": 1
  }
}