Pith Number

pith:XJGBBMPV

pith:2025:XJGBBMPVW6UUBB6J5TBWH5AYEW

not attested not anchored not stored refs pending

Modular elements in the lattice of monoid varieties

Sergey V. Gusev

arxiv:2511.06358 v1 · 2025-11-09 · 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{XJGBBMPVW6UUBB6J5TBWH5AYEW}

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	2026-06-09T02:07:12.496369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba4c10b1f5b7a94087c9ecc363f41825bb0e0109e3694c81310290e179f78fa4

Aliases

arxiv: 2511.06358 · arxiv_version: 2511.06358v1 · doi: 10.48550/arxiv.2511.06358 · pith_short_12: XJGBBMPVW6UU · pith_short_16: XJGBBMPVW6UUBB6J · pith_short_8: XJGBBMPV

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/XJGBBMPVW6UUBB6J5TBWH5AYEW \
  | 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: ba4c10b1f5b7a94087c9ecc363f41825bb0e0109e3694c81310290e179f78fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af66fa27332f972a235f1af5204c86d06a3022105fbf0f7012bd400546858d76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-11-09T12:33:49Z",
    "title_canon_sha256": "20a71ec0017581d9873fcf459d4c6a7a08b52fe18f7cb35d9c0ef2ff0d0e431a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06358",
    "kind": "arxiv",
    "version": 1
  }
}