Pith Number

pith:XKKR3KCY

pith:2016:XKKR3KCYSTSRHNPIFV532YC5ZW

not attested not anchored not stored refs pending

Probability distribution built by Prabhakar function. Related Tur\'an and Laguerre inequalities

Tibor K. Pog\'any, \v{Z}ivorad Tomovski

arxiv:1605.01981 v1 · 2016-05-06 · 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{XKKR3KCYSTSRHNPIFV532YC5ZW}

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	2026-05-18T01:15:30.742397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba951da85894e513b5e82d7bbd605dcda627f767ef8029fd8978b544dc52ba39

Aliases

arxiv: 1605.01981 · arxiv_version: 1605.01981v1 · doi: 10.48550/arxiv.1605.01981 · pith_short_12: XKKR3KCYSTSR · pith_short_16: XKKR3KCYSTSRHNPI · pith_short_8: XKKR3KCY

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/XKKR3KCYSTSRHNPIFV532YC5ZW \
  | 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: ba951da85894e513b5e82d7bbd605dcda627f767ef8029fd8978b544dc52ba39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffce0cfe526d3bf3381f4fa65e2d5cf1fbc98d80b396e525d9200ca7816ab951",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-06T15:55:28Z",
    "title_canon_sha256": "4262b2aa41e662993094df91296380e09efe275bb355a4fb8b42306c7a1ae3c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01981",
    "kind": "arxiv",
    "version": 1
  }
}