Pith Number

pith:2CR54CWK

pith:2025:2CR54CWK6P24MBBIXOPXGYZT4H

not attested not anchored not stored refs pending

On additive convolution sum of arithmetic functions and related questions

Anubhav Sharma, Bikram Misra, Biswajyoti Saha

arxiv:2502.08305 v2 · 2025-02-12 · 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{2CR54CWK6P24MBBIXOPXGYZT4H}

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	2026-06-08T01:05:00.055013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0a3de0acaf3f5c60428bb9f736333e1e289ee0519cea1dbf74437f657d07816

Aliases

arxiv: 2502.08305 · arxiv_version: 2502.08305v2 · doi: 10.48550/arxiv.2502.08305 · pith_short_12: 2CR54CWK6P24 · pith_short_16: 2CR54CWK6P24MBBI · pith_short_8: 2CR54CWK

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/2CR54CWK6P24MBBIXOPXGYZT4H \
  | 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: d0a3de0acaf3f5c60428bb9f736333e1e289ee0519cea1dbf74437f657d07816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2fffd2d4960cdbec0daa55e932e5f017627a5b5568fa5daabdd0b50aebc9ead",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-12T11:12:19Z",
    "title_canon_sha256": "0f93684ad61a2beddc9418e4102f915c58aac09164a21bc271011f259e367ebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08305",
    "kind": "arxiv",
    "version": 2
  }
}