Pith Number

pith:GQOKMNAP

pith:2018:GQOKMNAPATW4SLJ6MAETVLVIX2

not attested not anchored not stored refs pending

Infinitely Many Primes Using Generating Functions

Sandeep Silwal

arxiv:1811.12441 v3 · 2018-11-29 · math.HO · 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{GQOKMNAPATW4SLJ6MAETVLVIX2}

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	2026-05-17T23:57:14.681201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

341ca6340f04edc92d3e60093aaea8beb640ac1e6f8ad9fbb611c98e2f61dbd0

Aliases

arxiv: 1811.12441 · arxiv_version: 1811.12441v3 · doi: 10.48550/arxiv.1811.12441 · pith_short_12: GQOKMNAPATW4 · pith_short_16: GQOKMNAPATW4SLJ6 · pith_short_8: GQOKMNAP

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/GQOKMNAPATW4SLJ6MAETVLVIX2 \
  | 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: 341ca6340f04edc92d3e60093aaea8beb640ac1e6f8ad9fbb611c98e2f61dbd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab329d0c1435544d5402edbd19708f8e2539d63e1dfbbbdf774c5cd771b7cb86",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-11-29T19:24:43Z",
    "title_canon_sha256": "bea52adf9dfae83f125085ba394e2d07c0cb33b21f5a6ac96b32d32a343b7770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12441",
    "kind": "arxiv",
    "version": 3
  }
}