Pith Number

pith:PSSOG4F7

pith:2026:PSSOG4F7H2FMFQPWL7SKIRJRTB

not attested not anchored not stored refs pending

A Matrix-Theoretic Exact Formula for Counting Primes in Intervals Between Consecutive Odd Squares

Wujie Shi

arxiv:2605.21529 v1 · 2026-05-19 · 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{PSSOG4F7H2FMFQPWL7SKIRJRTB}

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	2026-05-22T00:02:27.730362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca4e370bf3e8ac2c1f65fe4a44531984169191d06813c3258e96e8a51dce38c

Aliases

arxiv: 2605.21529 · arxiv_version: 2605.21529v1 · doi: 10.48550/arxiv.2605.21529 · pith_short_12: PSSOG4F7H2FM · pith_short_16: PSSOG4F7H2FMFQPW · pith_short_8: PSSOG4F7

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/PSSOG4F7H2FMFQPWL7SKIRJRTB \
  | 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: 7ca4e370bf3e8ac2c1f65fe4a44531984169191d06813c3258e96e8a51dce38c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20d44e6b50c0f8a4513109a930b70a0b2245af6a0f960c248283aa0d3898e0c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-19T17:23:39Z",
    "title_canon_sha256": "44218ec4fae9553379d8272141ed3f5911628fe14e73127b52573defa99edd46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21529",
    "kind": "arxiv",
    "version": 1
  }
}