Pith Number

pith:7QXI6YRI

pith:2024:7QXI6YRIP5FWIO76BJCAR6TBIT

not attested not anchored not stored refs pending

Euler Product Sieve

Alexandru Zaharescu, Di Liu, Joseph Oesterl\'e, Yuri Matiyasevich

arxiv:2406.00786 v1 · 2024-06-02 · 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{7QXI6YRIP5FWIO76BJCAR6TBIT}

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	2026-07-05T08:26:30.761947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc2e8f62287f4b643bfe0a4408fa6144ead2dbad9765c21d3a70851fae1b9884

Aliases

arxiv: 2406.00786 · arxiv_version: 2406.00786v1 · doi: 10.48550/arxiv.2406.00786 · pith_short_12: 7QXI6YRIP5FW · pith_short_16: 7QXI6YRIP5FWIO76 · pith_short_8: 7QXI6YRI

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/7QXI6YRIP5FWIO76BJCAR6TBIT \
  | 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: fc2e8f62287f4b643bfe0a4408fa6144ead2dbad9765c21d3a70851fae1b9884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ccda317102f45793e9a4e88403b66db9d19c9b328c6fa14574f2a9b30eaa73",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-02T15:54:08Z",
    "title_canon_sha256": "3d49ce74ae9d1703f560ce2302041cfcfc5961904a61fd72aed276c42e06085c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.00786",
    "kind": "arxiv",
    "version": 1
  }
}