Pith Number

pith:3SP5BKHY

pith:2019:3SP5BKHYJWQZG6WXJUGJYCM6FY

not attested not anchored not stored refs pending

Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids

James East

arxiv:1908.08225 v2 · 2019-08-22 · math.GR · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SP5BKHYJWQZG6WXJUGJYCM6FY}

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	2026-07-05T01:08:10.044834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9fd0a8f84da1937ad74d0c9c099e2e3b02ff1a8dc919be04bb32e57a281af4

Aliases

arxiv: 1908.08225 · arxiv_version: 1908.08225v2 · doi: 10.48550/arxiv.1908.08225 · pith_short_12: 3SP5BKHYJWQZ · pith_short_16: 3SP5BKHYJWQZG6WX · pith_short_8: 3SP5BKHY

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/3SP5BKHYJWQZG6WXJUGJYCM6FY \
  | 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: dc9fd0a8f84da1937ad74d0c9c099e2e3b02ff1a8dc919be04bb32e57a281af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dacf47a9d6fc5d3ca9b0a6cdff5aa27b693b60670b12346e3f3093fea0e62718",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-22T07:07:19Z",
    "title_canon_sha256": "29f95a8a8ea61550bd955b3b7c1d4fcca1e5b3c4fa7a98ef00d545f4f6277970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08225",
    "kind": "arxiv",
    "version": 2
  }
}