Pith Number

pith:XJ6WQ2OG

pith:2016:XJ6WQ2OGHXSRAX26MPUKQW7DDU

not attested not anchored not stored refs pending

Tur\'an type inequalities for classical and generalized Mittag-Leffler functions

Khaled Mehrez, Sergei M. Sitnik

arxiv:1603.08504 v2 · 2016-03-28 · 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{XJ6WQ2OGHXSRAX26MPUKQW7DDU}

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	2026-05-18T00:00:33.020581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7d6869c63de5105f5e63e8a85be31d00de791312778bb0220f223e9fced5f9

Aliases

arxiv: 1603.08504 · arxiv_version: 1603.08504v2 · doi: 10.48550/arxiv.1603.08504 · pith_short_12: XJ6WQ2OGHXSR · pith_short_16: XJ6WQ2OGHXSRAX26 · pith_short_8: XJ6WQ2OG

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/XJ6WQ2OGHXSRAX26MPUKQW7DDU \
  | 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: ba7d6869c63de5105f5e63e8a85be31d00de791312778bb0220f223e9fced5f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8c9d8ed1808aa30ba725e18648cc45a610d449a42a4c8a105542f428f39699c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-28T19:53:10Z",
    "title_canon_sha256": "4f603de5c7d5184d9efc16ce1300ea871f40bf96755cdc3d17edfae3f0c6c45a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08504",
    "kind": "arxiv",
    "version": 2
  }
}