Pith Number

pith:7OIYTEEC

pith:2016:7OIYTEEC46OLM7ZLPEQEJW2ZPJ

not attested not anchored not stored refs pending

Inequalities for means of two mean variables

Barkat Ali Bhayo, Li Yin

arxiv:1612.02783 v1 · 2016-12-08 · 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{7OIYTEEC46OLM7ZLPEQEJW2ZPJ}

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	2026-05-18T00:55:29.128552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb91899082e79cb67f2b792044db597a56b7237abf0b0c53672f4d2aa0c130f0

Aliases

arxiv: 1612.02783 · arxiv_version: 1612.02783v1 · doi: 10.48550/arxiv.1612.02783 · pith_short_12: 7OIYTEEC46OL · pith_short_16: 7OIYTEEC46OLM7ZL · pith_short_8: 7OIYTEEC

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/7OIYTEEC46OLM7ZLPEQEJW2ZPJ \
  | 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: fb91899082e79cb67f2b792044db597a56b7237abf0b0c53672f4d2aa0c130f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9187638d1b37b68f1c5e29bf98c6c0e343c87686359ff0d0df283b90113dcde0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-08T19:40:52Z",
    "title_canon_sha256": "0a490217688d33db0108824e71b53fe369841f981cc1f96187e4f5026a8e9dbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02783",
    "kind": "arxiv",
    "version": 1
  }
}