Pith Number

pith:LSSIXVD6

pith:2026:LSSIXVD6XOROIFXUSS6QNEKIXE

not attested not anchored not stored refs pending

N-ary groups of panmagic permutations from the Post coset theorem

Jaeho Lee, Sergiy Koshkin

arxiv:2606.23735 v1 · 2026-06-20 · math.CO · math.GR · 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{LSSIXVD6XOROIFXUSS6QNEKIXE}

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	2026-06-24T00:14:24.561626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ca48bd47ebba2e416f494bd069148b932a127778822818bb6d39a46ef546560

Aliases

arxiv: 2606.23735 · arxiv_version: 2606.23735v1 · doi: 10.48550/arxiv.2606.23735 · pith_short_12: LSSIXVD6XORO · pith_short_16: LSSIXVD6XOROIFXU · pith_short_8: LSSIXVD6

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/LSSIXVD6XOROIFXUSS6QNEKIXE \
  | 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: 5ca48bd47ebba2e416f494bd069148b932a127778822818bb6d39a46ef546560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54befa8feec3f402c09f536524a7469507069a7cf708e3cba31d38ce8db5f40f",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-20T21:27:30Z",
    "title_canon_sha256": "c9db32873843c99e65f39944a0555ac58e463acdf1bb2c0605f801e90fbc43cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23735",
    "kind": "arxiv",
    "version": 1
  }
}