Pith Number

pith:F3NUCG7Z

pith:2014:F3NUCG7ZCROMLDVWSH32ZCXPGD

not attested not anchored not stored refs pending

A double inequality for bounding Toader mean by the centroidal mean

Feng Qi, Yun Hua

arxiv:1402.5020 v1 · 2014-02-20 · 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{F3NUCG7ZCROMLDVWSH32ZCXPGD}

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	2026-05-18T02:26:39.234948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2edb411bf9145cc58eb691f7ac8aef30c457f99695f00e010088995f3de9b112

Aliases

arxiv: 1402.5020 · arxiv_version: 1402.5020v1 · doi: 10.48550/arxiv.1402.5020 · pith_short_12: F3NUCG7ZCROM · pith_short_16: F3NUCG7ZCROMLDVW · pith_short_8: F3NUCG7Z

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/F3NUCG7ZCROMLDVWSH32ZCXPGD \
  | 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: 2edb411bf9145cc58eb691f7ac8aef30c457f99695f00e010088995f3de9b112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af197a562f4b216bf00ef77d9ea4abe22eb3ad0293c7d6579bf8aa41063bf4f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-02-20T14:56:30Z",
    "title_canon_sha256": "c1f6536e2ecdfe6c22bd61fa89158db927405ef59d03b3fb9521ed2cf9f9d75e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5020",
    "kind": "arxiv",
    "version": 1
  }
}