Pith Number

pith:TGKC5RKJ

pith:2018:TGKC5RKJQUMZ2YHFRONUVZT4T2

not attested not anchored not stored refs pending

Bombieri-type theorem for convolution of arithmetic functions on Number field

Anirban Mukhopadhyay, Pranendu Darbar

arxiv:1804.04246 v1 · 2018-04-11 · 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{TGKC5RKJQUMZ2YHFRONUVZT4T2}

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	2026-05-18T00:18:40.238263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99942ec54985199d60e58b9b4ae67c9e88cc9a4102d81b2fb03d81d27b3a9b9e

Aliases

arxiv: 1804.04246 · arxiv_version: 1804.04246v1 · doi: 10.48550/arxiv.1804.04246 · pith_short_12: TGKC5RKJQUMZ · pith_short_16: TGKC5RKJQUMZ2YHF · pith_short_8: TGKC5RKJ

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/TGKC5RKJQUMZ2YHFRONUVZT4T2 \
  | 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: 99942ec54985199d60e58b9b4ae67c9e88cc9a4102d81b2fb03d81d27b3a9b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecfd1b7eb37a248314021acd6c9c22e03eac13040cfe463866530ddfe89e057d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-11T22:24:43Z",
    "title_canon_sha256": "ebfea5ddc97d0e981607327ecc0fa371688f043d9cd20925ef42f4f51d9ec8d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04246",
    "kind": "arxiv",
    "version": 1
  }
}