Pith Number

pith:MIWEEQM5

pith:2016:MIWEEQM56HYF7PAVYE6CBYPPWJ

not attested not anchored not stored refs pending

Computations of the Mertens Function and Improved Bounds on the Mertens Conjecture

Greg Hurst

arxiv:1610.08551 v2 · 2016-10-26 · 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{MIWEEQM56HYF7PAVYE6CBYPPWJ}

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	2026-05-18T00:36:09.502444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

622c42419df1f05fbc15c13c20e1efb268e9b0f4d79c504468d3785ab5339c48

Aliases

arxiv: 1610.08551 · arxiv_version: 1610.08551v2 · doi: 10.48550/arxiv.1610.08551 · pith_short_12: MIWEEQM56HYF · pith_short_16: MIWEEQM56HYF7PAV · pith_short_8: MIWEEQM5

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/MIWEEQM56HYF7PAVYE6CBYPPWJ \
  | 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: 622c42419df1f05fbc15c13c20e1efb268e9b0f4d79c504468d3785ab5339c48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5d71decb3db61c0603ec8b233f03b26e85a4c3d30a1c4d4c44b2bcd5d506e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-26T21:14:02Z",
    "title_canon_sha256": "104b2a356f85fbc03452ad2cc30adc0332105372bdffcb8bd40b3d11fae22c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08551",
    "kind": "arxiv",
    "version": 2
  }
}