Pith Number

pith:SR4C57KM

pith:2014:SR4C57KMC6KG2K2AJU6BSFJHDL

not attested not anchored not stored refs pending

Bounds for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean

Feng Qi, Wei-Dong Jiang

arxiv:1402.4561 v1 · 2014-02-19 · 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{SR4C57KMC6KG2K2AJU6BSFJHDL}

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	2026-05-18T01:11:43.990128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94782efd4c17946d2b404d3c1915271ae666b21d4ade05eaf525b5eba5569314

Aliases

arxiv: 1402.4561 · arxiv_version: 1402.4561v1 · doi: 10.48550/arxiv.1402.4561 · pith_short_12: SR4C57KMC6KG · pith_short_16: SR4C57KMC6KG2K2A · pith_short_8: SR4C57KM

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/SR4C57KMC6KG2K2AJU6BSFJHDL \
  | 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: 94782efd4c17946d2b404d3c1915271ae666b21d4ade05eaf525b5eba5569314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a3579f468da62a93070a37830441031aeda6bd81a0565c52de4272aca850410",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-02-19T06:03:43Z",
    "title_canon_sha256": "9c2117f1e4f42ec7c6e2a69a7240ed9ff55f37daea31dd05cfc7d4238e4ea5a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4561",
    "kind": "arxiv",
    "version": 1
  }
}