Pith Number

pith:YY3JVALB

pith:2019:YY3JVALB53NZOL3L4BHCBCHADG

not attested not anchored not stored refs pending

Scaling of the diffraction measure of $k$-free integers near the origin

Australia), Germany), Michael Baake (Bielefeld, Michael Coons (Newcastle

arxiv:1904.00279 v3 · 2019-03-30 · 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{YY3JVALB53NZOL3L4BHCBCHADG}

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	2026-07-05T02:37:01.460204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6369a8161eedb972f6be04e2088e019948081b200ffccb0ea49ea2a799afa25

Aliases

arxiv: 1904.00279 · arxiv_version: 1904.00279v3 · doi: 10.48550/arxiv.1904.00279 · pith_short_12: YY3JVALB53NZ · pith_short_16: YY3JVALB53NZOL3L · pith_short_8: YY3JVALB

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/YY3JVALB53NZOL3L4BHCBCHADG \
  | 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: c6369a8161eedb972f6be04e2088e019948081b200ffccb0ea49ea2a799afa25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f0c783a4464e308ab8be791de1ff84666b1cd56e7c0323b8d1d083d0dc3a0c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-30T20:09:32Z",
    "title_canon_sha256": "fa23a9541d09bb34fe28323dfa4eddfeec7e715c33fa7fd8eb5232977427f7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00279",
    "kind": "arxiv",
    "version": 3
  }
}