Pith Number

pith:4NSV3HTF

pith:2010:4NSV3HTF3KKZPP5EJE7R36XLFM

not attested not anchored not stored refs pending

Comparison of differences between arithmetic and geometric means

J. M. Aldaz

arxiv:1001.5055 v2 · 2010-01-27 · 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{4NSV3HTF3KKZPP5EJE7R36XLFM}

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	2026-05-18T04:39:49.309167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3655d9e65da9597bfa4493f1dfaeb2b09c44f9b843cd6a955b04e00a43dc4b7

Aliases

arxiv: 1001.5055 · arxiv_version: 1001.5055v2 · doi: 10.48550/arxiv.1001.5055 · pith_short_12: 4NSV3HTF3KKZ · pith_short_16: 4NSV3HTF3KKZPP5E · pith_short_8: 4NSV3HTF

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/4NSV3HTF3KKZPP5EJE7R36XLFM \
  | 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: e3655d9e65da9597bfa4493f1dfaeb2b09c44f9b843cd6a955b04e00a43dc4b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de7deaa7072dfb5a8edca4f04e26eb7e431b86c76f8ef52298cf30a4f11cf85e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-01-27T22:11:41Z",
    "title_canon_sha256": "57577cadb0cb0e0068cce42d3a6809cd41ce3be5aa5468fa31d377f7ec724762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5055",
    "kind": "arxiv",
    "version": 2
  }
}