Pith Number

pith:V2V4VFLL

pith:2013:V2V4VFLLZRROKYYW5UDXIXFOY5

not attested not anchored not stored refs pending

A unified proof of inequalities and some new inequalities involving Neuman-S\'andor mean

Feng Qi, Wen-Hui Li

arxiv:1312.3500 v1 · 2013-12-12 · 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{V2V4VFLLZRROKYYW5UDXIXFOY5}

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	2026-05-18T02:28:55.244332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeabca956bcc62e56316ed07745caec74cda7d32d9864da2527750b570971232

Aliases

arxiv: 1312.3500 · arxiv_version: 1312.3500v1 · doi: 10.48550/arxiv.1312.3500 · pith_short_12: V2V4VFLLZRRO · pith_short_16: V2V4VFLLZRROKYYW · pith_short_8: V2V4VFLL

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/V2V4VFLLZRROKYYW5UDXIXFOY5 \
  | 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: aeabca956bcc62e56316ed07745caec74cda7d32d9864da2527750b570971232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a1eabdeaa6fca1323f4a38789df91940955ff3c17729e9239a0c55dd50b9a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-12T14:43:12Z",
    "title_canon_sha256": "3e23a7b0ba5e8c1e7685ebf897cba2ddd2d746947288408c78f77c948a6e9b8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3500",
    "kind": "arxiv",
    "version": 1
  }
}