Pith Number

pith:HCI2VXAK

pith:2016:HCI2VXAK7AEUU2ZL4GJT5D7APF

not attested not anchored not stored refs pending

Some inequalities for the matrix Heron mean

Dinh Trung Hoa

arxiv:1605.03516 v1 · 2016-05-11 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCI2VXAK7AEUU2ZL4GJT5D7APF}

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	2026-05-18T01:15:05.230902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3891aadc0af8094a6b2be1933e8fe0797ead38cf6f5e146e8aa149b88a3abcba

Aliases

arxiv: 1605.03516 · arxiv_version: 1605.03516v1 · doi: 10.48550/arxiv.1605.03516 · pith_short_12: HCI2VXAK7AEU · pith_short_16: HCI2VXAK7AEUU2ZL · pith_short_8: HCI2VXAK

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/HCI2VXAK7AEUU2ZL4GJT5D7APF \
  | 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: 3891aadc0af8094a6b2be1933e8fe0797ead38cf6f5e146e8aa149b88a3abcba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9767e8200076d19a7441ab0243095c558827bd78da876f0d1d48739fc9afd23",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-11T17:14:03Z",
    "title_canon_sha256": "2a17381a7cc0b94ee58fe5f7d875043cc679b0feb1f9b916f194759bbb3e7fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03516",
    "kind": "arxiv",
    "version": 1
  }
}