Pith Number

pith:CLS7IO5L

pith:2016:CLS7IO5LPMZQ4F3GJPGTY7T5BG

not attested not anchored not stored refs pending

On a finite subsemigroup of semigroups in which x^r=x

Jungin Lee

arxiv:1602.05694 v1 · 2016-02-18 · 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{CLS7IO5LPMZQ4F3GJPGTY7T5BG}

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	2026-05-18T01:20:23.489170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12e5f43bab7b330e17664bcd3c7e7d09bb31437d4d8a106f7d6836de86ed8132

Aliases

arxiv: 1602.05694 · arxiv_version: 1602.05694v1 · doi: 10.48550/arxiv.1602.05694 · pith_short_12: CLS7IO5LPMZQ · pith_short_16: CLS7IO5LPMZQ4F3G · pith_short_8: CLS7IO5L

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/CLS7IO5LPMZQ4F3GJPGTY7T5BG \
  | 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: 12e5f43bab7b330e17664bcd3c7e7d09bb31437d4d8a106f7d6836de86ed8132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf592cb6ad703c1e27ba5335cb551b0e14114dcaae242b03ed1176b5128ce25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-18T07:08:27Z",
    "title_canon_sha256": "f41b060a37af17025d6b77cfc574d9c7fbcee8582cd3afd6b932a0cc8919db76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05694",
    "kind": "arxiv",
    "version": 1
  }
}