Pith Number

pith:J4OLZNLJ

pith:2013:J4OLZNLJKRLC55U6DDNQ6SYIPG

not attested not anchored not stored refs pending

Sharp bounds for Neuman-S\'andor's mean in terms of the root-mean-square

Feng Qi, Wei-Dong Jiang

arxiv:1301.3267 v1 · 2013-01-15 · 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{J4OLZNLJKRLC55U6DDNQ6SYIPG}

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	2026-05-18T01:37:21.894586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1cbcb56954562ef69e18db0f4b0879baad4a0280392b42861bec332188cc28

Aliases

arxiv: 1301.3267 · arxiv_version: 1301.3267v1 · doi: 10.48550/arxiv.1301.3267 · pith_short_12: J4OLZNLJKRLC · pith_short_16: J4OLZNLJKRLC55U6 · pith_short_8: J4OLZNLJ

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/J4OLZNLJKRLC55U6DDNQ6SYIPG \
  | 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: 4f1cbcb56954562ef69e18db0f4b0879baad4a0280392b42861bec332188cc28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c947760b88d3e553d2cf5f2493f333124c761d0caded49c67af97cf17967ca40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-15T08:55:23Z",
    "title_canon_sha256": "df3634dbd6fc20cdc2e1c4331622419cf45f7e0fab9c4f05fffac6c1049b3db2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3267",
    "kind": "arxiv",
    "version": 1
  }
}