Pith Number

pith:QE64HSOS

pith:2011:QE64HSOS4IJWUJXU2AO6EE332W

not attested not anchored not stored refs pending

Landen inequalities for zero-balanced hypergeometric functions

Matti Vuorinen, Slavko Simi\'c

arxiv:1110.6619 v1 · 2011-10-30 · 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{QE64HSOS4IJWUJXU2AO6EE332W}

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	2026-05-18T04:09:55.068258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

813dc3c9d2e2136a26f4d01de2137bd592ea3106dc94e97c264dbec05e57dc9e

Aliases

arxiv: 1110.6619 · arxiv_version: 1110.6619v1 · doi: 10.48550/arxiv.1110.6619 · pith_short_12: QE64HSOS4IJW · pith_short_16: QE64HSOS4IJWUJXU · pith_short_8: QE64HSOS

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/QE64HSOS4IJWUJXU2AO6EE332W \
  | 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: 813dc3c9d2e2136a26f4d01de2137bd592ea3106dc94e97c264dbec05e57dc9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f696709abc66d472ceff4a5603e3c0c36f711751de9c753c3e20ccb4ff4edbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-30T16:27:12Z",
    "title_canon_sha256": "cb1a89be4107aa20f1aed6844ed7009f5b8ab4a4fdf9abbd5d9a3a45b8665125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6619",
    "kind": "arxiv",
    "version": 1
  }
}