Pith Number

pith:EL3MHD5Y

pith:2023:EL3MHD5YFW66CJA4OW7XU4PARK

not attested not anchored not stored refs pending

The Selberg-Delange method and mean value of arithmetic functions over short intervals

Amrinder Kaur, Ayyadurai Sankaranarayanan

arxiv:2302.08161 v1 · 2023-02-16 · 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{EL3MHD5YFW66CJA4OW7XU4PARK}

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	2026-07-05T06:57:52.314654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22f6c38fb82dbde1241c75bf7a71e08ab0f3685543c4cd8d87e7eed2929b8d3b

Aliases

arxiv: 2302.08161 · arxiv_version: 2302.08161v1 · doi: 10.48550/arxiv.2302.08161 · pith_short_12: EL3MHD5YFW66 · pith_short_16: EL3MHD5YFW66CJA4 · pith_short_8: EL3MHD5Y

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/EL3MHD5YFW66CJA4OW7XU4PARK \
  | 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: 22f6c38fb82dbde1241c75bf7a71e08ab0f3685543c4cd8d87e7eed2929b8d3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ca56551bc66a1f84e213e15954771cd87afc4079b03ff5b535cf160723fdbc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-02-16T09:19:27Z",
    "title_canon_sha256": "38140ea5d1cc78d297497527b49e896870a445e8ec0d4e4b34f32155fba921fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08161",
    "kind": "arxiv",
    "version": 1
  }
}