Pith Number

pith:L3QKM3K6

pith:2026:L3QKM3K6W4BAVXKKVHVELSYO7E

not attested not anchored not stored refs pending

On Combinatorial Properties of the degenerate Krawtchouk Appell polynomials

Mohamed Abdelkader, Mohamed Rhaima

arxiv:2605.16287 v1 · 2026-04-13 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3QKM3K6W4BAVXKKVHVELSYO7E}

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	2026-05-20T00:02:15.502954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ee0a66d5eb7020add4aa9ea45cb0ef90d8d82865e090dd43b6d0154a41b46e2

Aliases

arxiv: 2605.16287 · arxiv_version: 2605.16287v1 · doi: 10.48550/arxiv.2605.16287 · pith_short_12: L3QKM3K6W4BA · pith_short_16: L3QKM3K6W4BAVXKK · pith_short_8: L3QKM3K6

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/L3QKM3K6W4BAVXKKVHVELSYO7E \
  | 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: 5ee0a66d5eb7020add4aa9ea45cb0ef90d8d82865e090dd43b6d0154a41b46e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7908bb40c4c78fa700cc9ddc3acbc3ead7550c35a06f3a6120da30796e9a4b26",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-04-13T07:56:28Z",
    "title_canon_sha256": "23c2b25ded132e016080d33b97b945ac00685ef00862567af953261bb8d2d9fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16287",
    "kind": "arxiv",
    "version": 1
  }
}