Pith Number

pith:AMTWLOOI

pith:2026:AMTWLOOIMYPPPTQDLTGZ4WDDRM

not attested not anchored not stored refs pending

A weaker but simpler sieve inequality

John B. Friedlander

arxiv:2607.05707 v1 · 2026-07-07 · 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{AMTWLOOIMYPPPTQDLTGZ4WDDRM}

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	2026-07-08T01:18:42.016234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

032765b9c8661ef7ce035ccd9e58638b1888453d66cb4b1660c569d2b429fbf6

Aliases

arxiv: 2607.05707 · arxiv_version: 2607.05707v1 · doi: 10.48550/arxiv.2607.05707 · pith_short_12: AMTWLOOIMYPP · pith_short_16: AMTWLOOIMYPPPTQD · pith_short_8: AMTWLOOI

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/AMTWLOOIMYPPPTQDLTGZ4WDDRM \
  | 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: 032765b9c8661ef7ce035ccd9e58638b1888453d66cb4b1660c569d2b429fbf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae3a1b026099189b6bd597b78f4117fbb03403ac7dd2867790fdcc977ae9762",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-07T00:03:43Z",
    "title_canon_sha256": "73b7a222af11238072809349372af6aaa074dc653665ac5b772509e46ddf6318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05707",
    "kind": "arxiv",
    "version": 1
  }
}