Pith Number

pith:QMTXEI2C

pith:2012:QMTXEI2CWKPTZHHEPTDHSGGJ5G

not attested not anchored not stored refs pending

Two sharp inequalities for bounding the Seiffert mean by the arithmetic, centroidal, and contra-harmonic means

Feng Qi, Jian Cao, Wei-Dong Jiang

arxiv:1201.6432 v1 · 2012-01-31 · 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{QMTXEI2CWKPTZHHEPTDHSGGJ5G}

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	2026-05-18T01:24:15.058311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8327722342b29f3c9ce47cc67918c9e996b2c082206e4ebabe51ca95ef5cee61

Aliases

arxiv: 1201.6432 · arxiv_version: 1201.6432v1 · doi: 10.48550/arxiv.1201.6432 · pith_short_12: QMTXEI2CWKPT · pith_short_16: QMTXEI2CWKPTZHHE · pith_short_8: QMTXEI2C

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/QMTXEI2CWKPTZHHEPTDHSGGJ5G \
  | 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: 8327722342b29f3c9ce47cc67918c9e996b2c082206e4ebabe51ca95ef5cee61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7eb6a1f160aac1f20aab165373ed9009cceca32d19c3819a8cb0125ca3d97d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-31T03:55:42Z",
    "title_canon_sha256": "9bf97f1e290fe4c7431f2f6401db1d04bc1c6111421e4255c121648b43679140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6432",
    "kind": "arxiv",
    "version": 1
  }
}