Pith Number

pith:KCUYXYRQ

pith:2025:KCUYXYRQAZ674WI65SMPULLKF3

not attested not anchored not stored refs pending

Moments of the shifted prime divisor function

Mikhail R. Gabdullin

arxiv:2505.24050 v1 · 2025-05-29 · 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{KCUYXYRQAZ674WI65SMPULLKF3}

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	2026-07-05T11:12:40.831408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50a98be230067dfe591eec98fa2d6a2eef31e8e7a071d7c32ca3456172e2f6d5

Aliases

arxiv: 2505.24050 · arxiv_version: 2505.24050v1 · doi: 10.48550/arxiv.2505.24050 · pith_short_12: KCUYXYRQAZ67 · pith_short_16: KCUYXYRQAZ674WI6 · pith_short_8: KCUYXYRQ

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/KCUYXYRQAZ674WI65SMPULLKF3 \
  | 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: 50a98be230067dfe591eec98fa2d6a2eef31e8e7a071d7c32ca3456172e2f6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812766df33d76ae4160fbea4e43a560b9322b347951ed0ce3f53215181b1beb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-29T22:43:08Z",
    "title_canon_sha256": "4470005282b8ac431ec930d941e790b018ec0a233b83caceb735f5a3edf639f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24050",
    "kind": "arxiv",
    "version": 1
  }
}