Pith Number

pith:SB4MNETR

pith:2025:SB4MNETRH6IPZBDP6OMYTKRAIL

not attested not anchored not stored refs pending

Explicit quadratic large sieve inequality

Zihao Liu

arxiv:2505.09637 v2 · 2025-05-05 · 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{SB4MNETRH6IPZBDP6OMYTKRAIL}

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	2026-05-28T01:04:27.867225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9078c692713f90fc846ff39989aa2042e7c11780ae8bae712c1d4707bd049911

Aliases

arxiv: 2505.09637 · arxiv_version: 2505.09637v2 · doi: 10.48550/arxiv.2505.09637 · pith_short_12: SB4MNETRH6IP · pith_short_16: SB4MNETRH6IPZBDP · pith_short_8: SB4MNETR

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/SB4MNETRH6IPZBDP6OMYTKRAIL \
  | 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: 9078c692713f90fc846ff39989aa2042e7c11780ae8bae712c1d4707bd049911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0a2fd32c4803f12472e30adac625f3fd495538665657031db5d7ae2b90c13bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-05T22:25:19Z",
    "title_canon_sha256": "80e3cbde1bd51d2c2f189183630647f8365805d7bb9f92b890ce3356324972f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09637",
    "kind": "arxiv",
    "version": 2
  }
}