Pith Number

pith:HTYAGQTJ

pith:2006:HTYAGQTJQOPFVVRVDUYFAJ77Q3

not attested not anchored not stored refs pending

A Remark on the Mandl's Inequality

Mehdi Hassani

arxiv:math/0606765 v3 · 2006-06-29 · math.NT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTYAGQTJQOPFVVRVDUYFAJ77Q3}

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.

Cited by

1 paper in Pith

On the arithmetic average of the first $n$ primes

Receipt and verification

First computed	2026-07-04T14:55:34.194979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf0034269839e5ad6351d305027ff86f81ac4d8002ab52cf387b5ac51b9ef60

Aliases

arxiv: math/0606765 · arxiv_version: math/0606765v3 · doi: 10.48550/arxiv.math/0606765 · pith_short_12: HTYAGQTJQOPF · pith_short_16: HTYAGQTJQOPFVVRV · pith_short_8: HTYAGQTJ

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/HTYAGQTJQOPFVVRVDUYFAJ77Q3 \
  | 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: 3cf0034269839e5ad6351d305027ff86f81ac4d8002ab52cf387b5ac51b9ef60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba419920a9ad04bfd35764541999dd64cd97e5c6a425525f4080530d9d6b5892",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-06-29T16:32:02Z",
    "title_canon_sha256": "85b024a980c8c5784ed2b08c81d622a9f3dc427ca6fc60218abf05d58415a644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606765",
    "kind": "arxiv",
    "version": 3
  }
}