Pith Number

pith:PVUGKEY2

pith:2025:PVUGKEY22POYYV4VLOAHJ4BOJW

not attested not anchored not stored refs pending

On some classification problems of multiplicative functions

M. Lema\'nczyk, O. Klurman, S. Kasjan

arxiv:2505.07277 v1 · 2025-05-12 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVUGKEY22POYYV4VLOAHJ4BOJW}

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	2026-07-05T11:01:45.337496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d6865131ad3dd8c57955b8074f02e4d8e1890b481bf102f9ae14d51337dc0cf

Aliases

arxiv: 2505.07277 · arxiv_version: 2505.07277v1 · doi: 10.48550/arxiv.2505.07277 · pith_short_12: PVUGKEY22POY · pith_short_16: PVUGKEY22POYYV4V · pith_short_8: PVUGKEY2

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/PVUGKEY22POYYV4VLOAHJ4BOJW \
  | 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: 7d6865131ad3dd8c57955b8074f02e4d8e1890b481bf102f9ae14d51337dc0cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04b206bb38f125da462229d1d5f13de95c9b0177d410fd0d44a4eca3a6e8d4a7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-12T07:00:10Z",
    "title_canon_sha256": "f358e670e3f84a8156a4d9c6e98c4ae282c6bff23750ba3c979b62bf34474695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07277",
    "kind": "arxiv",
    "version": 1
  }
}