Pith Number

pith:O7YJPF6Z

pith:2025:O7YJPF6ZLVT4GYFJHND2YKVPLQ

not attested not anchored not stored refs pending

Powerfree integers and Fourier bounds

Sebasti\'an Carrillo Santana

arxiv:2504.08502 v2 · 2025-04-11 · 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{O7YJPF6ZLVT4GYFJHND2YKVPLQ}

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.

Cited by

2 papers in Pith

The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem

Receipt and verification

First computed	2026-07-05T11:49:53.060465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f09797d95d67c360a93b47ac2aaf5c138ccf0d08c72f9915924d240b558dad

Aliases

arxiv: 2504.08502 · arxiv_version: 2504.08502v2 · doi: 10.48550/arxiv.2504.08502 · pith_short_12: O7YJPF6ZLVT4 · pith_short_16: O7YJPF6ZLVT4GYFJ · pith_short_8: O7YJPF6Z

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/O7YJPF6ZLVT4GYFJHND2YKVPLQ \
  | 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: 77f09797d95d67c360a93b47ac2aaf5c138ccf0d08c72f9915924d240b558dad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70dec0447fd384615228fd52042f66a2bd2f5755eb9695f24b5a2e7fbeeddefc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-11T13:08:35Z",
    "title_canon_sha256": "157b543c2d5cf8c35b6000758078cd8c5e3822e9126929735e96a58fdc25f24e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.08502",
    "kind": "arxiv",
    "version": 2
  }
}