Pith Number

pith:SNGFYJBE

pith:2009:SNGFYJBEXIJZTYQUCIYRCOBYAR

not attested not anchored not stored refs pending

Computing the Mertens and Meissel-Mertens constants for sums over arithmetic progressions

Alessandro Languasco, Alessandro Zaccagnini

arxiv:0906.2132 v1 · 2009-06-11 · 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{SNGFYJBEXIJZTYQUCIYRCOBYAR}

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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.

Cited by

1 paper in Pith

A Complete Answer to Erd\H{o}s Problem 690

Receipt and verification

First computed	2026-05-18T03:37:53.612124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

934c5c2424ba1399e214123111383804677d3fe3e87c9bd59cfab0984df25e1e

Aliases

arxiv: 0906.2132 · arxiv_version: 0906.2132v1 · doi: 10.48550/arxiv.0906.2132 · pith_short_12: SNGFYJBEXIJZ · pith_short_16: SNGFYJBEXIJZTYQU · pith_short_8: SNGFYJBE

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/SNGFYJBEXIJZTYQUCIYRCOBYAR \
  | 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: 934c5c2424ba1399e214123111383804677d3fe3e87c9bd59cfab0984df25e1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a4193c60cdae9014c870fa4577083c0f0c5451876f0a918330f0c596c85ec62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-06-11T15:13:10Z",
    "title_canon_sha256": "4fa7e414265d59d49c530f7733f6d030af1e4655f44860f2366130d7f5092ddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2132",
    "kind": "arxiv",
    "version": 1
  }
}