Pith Number

pith:2VNHSQGO

pith:2005:2VNHSQGO7DD52C5QSTRLQVHP4U

not attested not anchored not stored refs pending

Mertens' Proof of Mertens' Theorem

Mark B. Villarino

arxiv:math/0504289 v3 · 2005-04-14 · math.HO · 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{2VNHSQGO7DD52C5QSTRLQVHP4U}

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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

Proof of Existence of Integers Excluding Two Residue Values in a Specific Range

Receipt and verification

First computed	2026-07-04T14:39:53.899674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55a7940cef8c7dd0bb094e2b854efe503f9436d47e67979aaf4e86e63e3924f

Aliases

arxiv: math/0504289 · arxiv_version: math/0504289v3 · doi: 10.48550/arxiv.math/0504289 · pith_short_12: 2VNHSQGO7DD5 · pith_short_16: 2VNHSQGO7DD52C5Q · pith_short_8: 2VNHSQGO

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/2VNHSQGO7DD52C5QSTRLQVHP4U \
  | 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: d55a7940cef8c7dd0bb094e2b854efe503f9436d47e67979aaf4e86e63e3924f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9888eb68dd11a2a34a747cda6d9de2dc933203ee4a7ce5620a731897d2d3c3e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.HO",
    "submitted_at": "2005-04-14T03:07:11Z",
    "title_canon_sha256": "5da182cbcc5a682f3cbb14c0c3853cde515acbcfdd751460cb88787b773d3fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504289",
    "kind": "arxiv",
    "version": 3
  }
}