Pith Number

pith:EBU4VTL4

pith:2026:EBU4VTL4HMHWFZO7RV3WLLQ5AY

not attested not anchored not stored refs pending

Bell Transforms of Arithmetic Functions: Euler Products, Congruences, and Polynomial Sequences

Mahipal Gurram

arxiv:2605.22784 v1 · 2026-05-21 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBU4VTL4HMHWFZO7RV3WLLQ5AY}

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	2026-05-22T02:04:54.719273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2069cacd7c3b0f62e5df8d7765ae1d063f29a8c8c0f5ac09098914632ad14b60

Aliases

arxiv: 2605.22784 · arxiv_version: 2605.22784v1 · doi: 10.48550/arxiv.2605.22784 · pith_short_12: EBU4VTL4HMHW · pith_short_16: EBU4VTL4HMHWFZO7 · pith_short_8: EBU4VTL4

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/EBU4VTL4HMHWFZO7RV3WLLQ5AY \
  | 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: 2069cacd7c3b0f62e5df8d7765ae1d063f29a8c8c0f5ac09098914632ad14b60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1fd2b97a3ce0ba72633cf612cf35d3a083ed06e136350bef3e76b3df1a58f23",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-21T17:41:00Z",
    "title_canon_sha256": "2fe506ea3e17284e25aafec2646142a47ed370aec51bf82913e4e9a5d158311a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22784",
    "kind": "arxiv",
    "version": 1
  }
}