Pith Number

pith:Y5SJ45D2

pith:2019:Y5SJ45D2QIP4MK7ZNBYLJDK5D2

not attested not anchored not stored refs pending

There are Infinitely Many Perrin Pseudoprimes

Jon Grantham

arxiv:1903.06825 v1 · 2019-03-15 · 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{Y5SJ45D2QIP4MK7ZNBYLJDK5D2}

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	2026-05-17T23:51:08.919059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7649e747a821fc62bf96870b48d5d1eab03b4cd4f106d75b251bd3731a80a9a

Aliases

arxiv: 1903.06825 · arxiv_version: 1903.06825v1 · doi: 10.48550/arxiv.1903.06825 · pith_short_12: Y5SJ45D2QIP4 · pith_short_16: Y5SJ45D2QIP4MK7Z · pith_short_8: Y5SJ45D2

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/Y5SJ45D2QIP4MK7ZNBYLJDK5D2 \
  | 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: c7649e747a821fc62bf96870b48d5d1eab03b4cd4f106d75b251bd3731a80a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20cea4947a1d3591606b75383227d10fc6bf7481d6d629c0eee9e503553af196",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-15T22:27:31Z",
    "title_canon_sha256": "8a24117150f27eaa13eed861116ae56e591c60a40233a341cd31f3da1462f7b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06825",
    "kind": "arxiv",
    "version": 1
  }
}