Pith Number

pith:W2OUGUFO

pith:2026:W2OUGUFOSDQYJL3AN5XWUYHBAN

not attested not anchored not stored refs pending

Linear equations in Piatetski-Shapiro primes

Xuancheng Shao, Yu-Chen Sun

arxiv:2605.18676 v1 · 2026-05-18 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2OUGUFOSDQYJL3AN5XWUYHBAN}

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	2026-05-20T00:06:14.243542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b69d4350ae90e184af606f6f6a60e10356cbebc5b9f38975a3910138c3908c4c

Aliases

arxiv: 2605.18676 · arxiv_version: 2605.18676v1 · doi: 10.48550/arxiv.2605.18676 · pith_short_12: W2OUGUFOSDQY · pith_short_16: W2OUGUFOSDQYJL3A · pith_short_8: W2OUGUFO

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/W2OUGUFOSDQYJL3AN5XWUYHBAN \
  | 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: b69d4350ae90e184af606f6f6a60e10356cbebc5b9f38975a3910138c3908c4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed343a0dad3e09caf445aab98ba38f46f9315d7fca0c7f98907da1fb692d820",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-18T17:15:41Z",
    "title_canon_sha256": "50785cc48c731967ac8ccd303b330786d8bf8cdfc9890b88724d464fd198c787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18676",
    "kind": "arxiv",
    "version": 1
  }
}