Pith Number

pith:KGEOTDU5

pith:2022:KGEOTDU546T4TKYHO5OFAQEZFM

not attested not anchored not stored refs pending

Partial sums of typical multiplicative functions over short moving intervals

Max Wenqiang Xu, Mayank Pandey, Victor Y. Wang

arxiv:2207.11758 v4 · 2022-07-24 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGEOTDU546T4TKYHO5OFAQEZFM}

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	2026-07-05T07:46:13.274544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5188e98e9de7a7c9ab07775c5040992b1e032aa8dcc376c5a1954924c98e0f73

Aliases

arxiv: 2207.11758 · arxiv_version: 2207.11758v4 · doi: 10.48550/arxiv.2207.11758 · pith_short_12: KGEOTDU546T4 · pith_short_16: KGEOTDU546T4TKYH · pith_short_8: KGEOTDU5

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/KGEOTDU546T4TKYHO5OFAQEZFM \
  | 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: 5188e98e9de7a7c9ab07775c5040992b1e032aa8dcc376c5a1954924c98e0f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d37d26627c9ecabd6e519e8306a100eaf665a5404b6cf195815a8e4976b0a89",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-24T15:00:35Z",
    "title_canon_sha256": "76189a2174e87fbac3051dc718e713994e080e7764d4d7f7e0f38f2d8f698346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.11758",
    "kind": "arxiv",
    "version": 4
  }
}