Pith Number

pith:4S5IFLFM

pith:2025:4S5IFLFMRS6V4SPII4BENXAO57

not attested not anchored not stored refs pending

Note on a sum involving the divisor function

Liuying Wu

arxiv:2505.01645 v1 · 2025-05-03 · 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{4S5IFLFMRS6V4SPII4BENXAO57}

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	2026-07-05T10:58:01.284273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ba82acac8cbd5e49e8470246dc0eefc409c6e4cfa3b1fd6dc0b427e9afff28

Aliases

arxiv: 2505.01645 · arxiv_version: 2505.01645v1 · doi: 10.48550/arxiv.2505.01645 · pith_short_12: 4S5IFLFMRS6V · pith_short_16: 4S5IFLFMRS6V4SPI · pith_short_8: 4S5IFLFM

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/4S5IFLFMRS6V4SPII4BENXAO57 \
  | 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: e4ba82acac8cbd5e49e8470246dc0eefc409c6e4cfa3b1fd6dc0b427e9afff28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edca6c8b97ea23ce2ed5af3dc2df78d41da1c2a901b24d2390daa5a09833b5fe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-03T01:19:00Z",
    "title_canon_sha256": "d4e40349147fe826ad1a05429e92e1ae813d033aaa8fe953b8315b8d9c575e86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01645",
    "kind": "arxiv",
    "version": 1
  }
}