Pith Number

pith:ULGCGJHP

pith:2025:ULGCGJHPUK3RFI2G7DJ7SDH66K

not attested not anchored not stored refs pending

Groups in which every Lagrange subset is a factor

M.H. Hooshmand, Stefan Kohl

arxiv:2504.11503 v1 · 2025-04-15 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULGCGJHPUK3RFI2G7DJ7SDH66K}

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	2026-06-04T01:08:28.689798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2cc2324efa2b712a346f8d3f90cfef2b1bcc5b160ebaf0a049984174856502f

Aliases

arxiv: 2504.11503 · arxiv_version: 2504.11503v1 · doi: 10.48550/arxiv.2504.11503 · pith_short_12: ULGCGJHPUK3R · pith_short_16: ULGCGJHPUK3RFI2G · pith_short_8: ULGCGJHP

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/ULGCGJHPUK3RFI2G7DJ7SDH66K \
  | 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: a2cc2324efa2b712a346f8d3f90cfef2b1bcc5b160ebaf0a049984174856502f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "522ae5667c9daf8092a40e632ed3b06c620fcb75819abad5a4898163b282b46a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-04-15T07:01:59Z",
    "title_canon_sha256": "c6a170a7575fdd064c22680da5ce6e6ff902cc05ea63ed43663411d1f873cc44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.11503",
    "kind": "arxiv",
    "version": 1
  }
}