Pith Number

pith:ADOI3MLP

pith:2017:ADOI3MLPQHFZXJ6NK6V372YQRW

not attested not anchored not stored refs pending

Monotonicity patterns and functional inequalities for classical and generalized Wright functions

Khaled Mehrez

arxiv:1708.00461 v1 · 2017-07-24 · 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{ADOI3MLPQHFZXJ6NK6V372YQRW}

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	2026-05-18T00:38:47.108755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00dc8db16f81cb9ba7cd57abbfeb108da85f8a953b83028eb4d70fe75be367ec

Aliases

arxiv: 1708.00461 · arxiv_version: 1708.00461v1 · doi: 10.48550/arxiv.1708.00461 · pith_short_12: ADOI3MLPQHFZ · pith_short_16: ADOI3MLPQHFZXJ6N · pith_short_8: ADOI3MLP

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/ADOI3MLPQHFZXJ6NK6V372YQRW \
  | 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: 00dc8db16f81cb9ba7cd57abbfeb108da85f8a953b83028eb4d70fe75be367ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab88da837e05dedc5d60a706657a507e02f51f288aea12523ada0b65678540b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-24T21:46:26Z",
    "title_canon_sha256": "320fa25a13435eaf18d8bd936dcded21ecbf29fe1de9bf41a28a1a05b4c5d0ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00461",
    "kind": "arxiv",
    "version": 1
  }
}