Pith Number

pith:DJNQFYI2

pith:2015:DJNQFYI2ZHSEMMB4WYX6HJYDSW

not attested not anchored not stored refs pending

An inequality for t-geometric means

Dinh Trung Hoa

arxiv:1512.04585 v1 · 2015-12-11 · 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{DJNQFYI2ZHSEMMB4WYX6HJYDSW}

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	2026-05-18T01:24:19.832765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a5b02e11ac9e446303cb62fe3a703959e60858c3dcdc77c0a979a488b6385dd

Aliases

arxiv: 1512.04585 · arxiv_version: 1512.04585v1 · doi: 10.48550/arxiv.1512.04585 · pith_short_12: DJNQFYI2ZHSE · pith_short_16: DJNQFYI2ZHSEMMB4 · pith_short_8: DJNQFYI2

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/DJNQFYI2ZHSEMMB4WYX6HJYDSW \
  | 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: 1a5b02e11ac9e446303cb62fe3a703959e60858c3dcdc77c0a979a488b6385dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5a0af410a7dc24e2a2c4be51c6e3ed727463a653ef461e2a0ee7b0b3135551b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-11T16:49:00Z",
    "title_canon_sha256": "be4c32bab1a92e4b6522b38eca4231e00306737fb69332b57ceea74077d8edbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04585",
    "kind": "arxiv",
    "version": 1
  }
}