Pith Number

pith:26E6TWSP

pith:2013:26E6TWSPNYDDIDDOAFVQQENPV3

not attested not anchored not stored refs pending

Some Bernstein functions and integral representations concerning harmonic and geometric means

Feng Qi, Wen-Hui Li, Xiao-Jing Zhang

arxiv:1301.6430 v1 · 2013-01-28 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26E6TWSPNYDDIDDOAFVQQENPV3}

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	2026-05-18T00:26:16.952899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d789e9da4f6e06340c6e016b0811afaedfa8c296ed85079ea119b3e1b0310cef

Aliases

arxiv: 1301.6430 · arxiv_version: 1301.6430v1 · doi: 10.48550/arxiv.1301.6430 · pith_short_12: 26E6TWSPNYDD · pith_short_16: 26E6TWSPNYDDIDDO · pith_short_8: 26E6TWSP

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/26E6TWSPNYDDIDDOAFVQQENPV3 \
  | 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: d789e9da4f6e06340c6e016b0811afaedfa8c296ed85079ea119b3e1b0310cef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c1f4a822a7798a24753b1f7b77abad78c215823025b2914107bc00a9f808235",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-28T02:57:25Z",
    "title_canon_sha256": "2c1df0fa23bdec34cf2b4df643d93fd569ce119ff7611dc82cc3794d45966ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6430",
    "kind": "arxiv",
    "version": 1
  }
}