Pith Number

pith:HWQLSEED

pith:2016:HWQLSEEDXU2XQIZVIFWWO4ORCI

not attested not anchored not stored refs pending

Lee monoids are non-finitely based while the sets of their isoterms are finitely based

Olga Sapir

arxiv:1610.09721 v6 · 2016-10-30 · 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{HWQLSEEDXU2XQIZVIFWWO4ORCI}

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	2026-05-18T00:24:45.209958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da0b91083bd35782335416d6771d1123b6e38f4fb0f5056fdb761bcadd8c386

Aliases

arxiv: 1610.09721 · arxiv_version: 1610.09721v6 · doi: 10.48550/arxiv.1610.09721 · pith_short_12: HWQLSEEDXU2X · pith_short_16: HWQLSEEDXU2XQIZV · pith_short_8: HWQLSEED

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/HWQLSEEDXU2XQIZVIFWWO4ORCI \
  | 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: 3da0b91083bd35782335416d6771d1123b6e38f4fb0f5056fdb761bcadd8c386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90088a4cef74052c9fa37ecb1f895bb8edf9d69cf6644761fdddaa7e9a279ee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-30T22:32:16Z",
    "title_canon_sha256": "54c1002c3d596b01314272d1094b94e8605a315a5de9d7d745006a04edf66d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09721",
    "kind": "arxiv",
    "version": 6
  }
}