Pith Number

pith:Y2CH6RFF

pith:2013:Y2CH6RFFLME3QSTD3T6CAOFN4K

not attested not anchored not stored refs pending

Landen inequalities for special functions

\'Arp\'ad Baricz

arxiv:1301.5255 v1 · 2013-01-22 · 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{Y2CH6RFFLME3QSTD3T6CAOFN4K}

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	2026-05-18T02:48:02.862521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6847f44a55b09b84a63dcfc2038ade2af3f1c1ccebb6c3f7683b9e96e89b22d

Aliases

arxiv: 1301.5255 · arxiv_version: 1301.5255v1 · doi: 10.48550/arxiv.1301.5255 · pith_short_12: Y2CH6RFFLME3 · pith_short_16: Y2CH6RFFLME3QSTD · pith_short_8: Y2CH6RFF

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/Y2CH6RFFLME3QSTD3T6CAOFN4K \
  | 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: c6847f44a55b09b84a63dcfc2038ade2af3f1c1ccebb6c3f7683b9e96e89b22d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93dd6193c8e329fda7a0374d07160886468119c85c64bd2865306908d3f62346",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-22T17:43:09Z",
    "title_canon_sha256": "3d018e626dfc25c51571635efba289335e80896ae9420691ca53dede1fb246e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5255",
    "kind": "arxiv",
    "version": 1
  }
}