Pith Number

pith:K7GQMH3H

pith:2018:K7GQMH3H3VJD3IZVBRF5QEV336

not attested not anchored not stored refs pending

Rational extension of Newton diagram for the positivity of ${}_1F_2$ hypergeometric functions and Askey-Szeg\"o problem

Hera Yun, Seok-Young Chung, Yong-Kum Cho

arxiv:1805.11855 v1 · 2018-05-30 · 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{K7GQMH3H3VJD3IZVBRF5QEV336}

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	2026-05-18T00:14:36.130958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57cd061f67dd523da3350c4bd812bbdfb993386f509a462cd432389816406be8

Aliases

arxiv: 1805.11855 · arxiv_version: 1805.11855v1 · doi: 10.48550/arxiv.1805.11855 · pith_short_12: K7GQMH3H3VJD · pith_short_16: K7GQMH3H3VJD3IZV · pith_short_8: K7GQMH3H

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/K7GQMH3H3VJD3IZVBRF5QEV336 \
  | 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: 57cd061f67dd523da3350c4bd812bbdfb993386f509a462cd432389816406be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c6a1ecd4bb8ccb9ebf5682314ecfc2cd8bae130826017e010463c1d1e3e7b96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-30T08:40:54Z",
    "title_canon_sha256": "af7352e860f95b47b13e415239567aff650e806a18aca7ceabb3be0e7a91b095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11855",
    "kind": "arxiv",
    "version": 1
  }
}