Pith Number

pith:AWJB77MP

pith:2026:AWJB77MP4FGFPDHT6J6TUWFA6T

not attested not anchored not stored refs pending

On the Macdonald-type function and its relation with index transforms and orthogonal polynomials

Semyon Yakubovich

arxiv:2606.05329 v1 · 2026-06-03 · 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{AWJB77MP4FGFPDHT6J6TUWFA6T}

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	2026-06-05T00:13:54.133556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05921ffd8fe14c578cf3f27d3a58a0f4d0c6f9ed4f851d0cc1bc331d4d19c269

Aliases

arxiv: 2606.05329 · arxiv_version: 2606.05329v1 · doi: 10.48550/arxiv.2606.05329 · pith_short_12: AWJB77MP4FGF · pith_short_16: AWJB77MP4FGFPDHT · pith_short_8: AWJB77MP

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/AWJB77MP4FGFPDHT6J6TUWFA6T \
  | 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: 05921ffd8fe14c578cf3f27d3a58a0f4d0c6f9ed4f851d0cc1bc331d4d19c269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b640658dd27467059c6d9c9d41f26f1cc2187de4dc9c0d921a6536a5d70f484",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-03T18:15:47Z",
    "title_canon_sha256": "965dc92594a0ace41406562f1892c320d04f25e7f115fa30b923a26ef45a2aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05329",
    "kind": "arxiv",
    "version": 1
  }
}