Pith Number

pith:S4GSVNIW

pith:2018:S4GSVNIWKVUEKEECSBNAP7GJKT

not attested not anchored not stored refs pending

On practical numbers of some special forms

Li-Yuan Wang, Zhi-Wei Sun

arxiv:1809.01532 v2 · 2018-09-03 · 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{S4GSVNIWKVUEKEECSBNAP7GJKT}

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	2026-05-17T23:40:55.888426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

970d2ab5165568451082905a07fcc954c0b219e47b6ea1a8ce987631d21a27b9

Aliases

arxiv: 1809.01532 · arxiv_version: 1809.01532v2 · doi: 10.48550/arxiv.1809.01532 · pith_short_12: S4GSVNIWKVUE · pith_short_16: S4GSVNIWKVUEKEEC · pith_short_8: S4GSVNIW

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/S4GSVNIWKVUEKEECSBNAP7GJKT \
  | 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: 970d2ab5165568451082905a07fcc954c0b219e47b6ea1a8ce987631d21a27b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d62f5294dfe43acd68c8e1488d65ab654ab70f0e18642edfcdf9eacf59d6de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-03T15:53:26Z",
    "title_canon_sha256": "d3ec0b1d5c2fb86fcf9fed706e9e8c61c2b833d7b7fb49a97fe70ea16cfafb2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01532",
    "kind": "arxiv",
    "version": 2
  }
}