Pith Number

pith:DHG37PM3

pith:2018:DHG37PM32IWTHXF6JDYCZDIVXB

not attested not anchored not stored refs pending

Some Inequalities involving Heron and Heinz Means of two Convex Functionals

Mustapha Ra\"issouli, Shigeru Furuichi

arxiv:1809.01820 v2 · 2018-09-06 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHG37PM32IWTHXF6JDYCZDIVXB}

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	2026-05-17T23:57:57.159900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19cdbfbd9bd22d33dcbe48f02c8d15b86f93ff91beabddb70346baefc836cd02

Aliases

arxiv: 1809.01820 · arxiv_version: 1809.01820v2 · doi: 10.48550/arxiv.1809.01820 · pith_short_12: DHG37PM32IWT · pith_short_16: DHG37PM32IWTHXF6 · pith_short_8: DHG37PM3

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/DHG37PM32IWTHXF6JDYCZDIVXB \
  | 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: 19cdbfbd9bd22d33dcbe48f02c8d15b86f93ff91beabddb70346baefc836cd02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c76fad470e7e3608989cf661fef83471c07cef35fd53b2627c0975775102349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-06T04:51:17Z",
    "title_canon_sha256": "c7d51c1e07d24e6ec7e68b9258005c7ab0e11c7d0e3ac6869cb07ccd2fc76003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01820",
    "kind": "arxiv",
    "version": 2
  }
}