Pith Number

pith:KBLNCLZN

pith:2017:KBLNCLZNBYKPCCU22NFP76R5I4

not attested not anchored not stored refs pending

Quasitrivial semigroups: characterizations and enumerations

Jean-Luc Marichal, Jimmy Devillet, Miguel Couceiro

arxiv:1709.09162 v3 · 2017-09-26 · math.RA · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBLNCLZNBYKPCCU22NFP76R5I4}

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	2026-05-17T23:46:42.039139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5056d12f2d0e14f10a9ad34afffa3d4730f88678de0138a7d32edc3dcddbe151

Aliases

arxiv: 1709.09162 · arxiv_version: 1709.09162v3 · doi: 10.48550/arxiv.1709.09162 · pith_short_12: KBLNCLZNBYKP · pith_short_16: KBLNCLZNBYKPCCU2 · pith_short_8: KBLNCLZN

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/KBLNCLZNBYKPCCU22NFP76R5I4 \
  | 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: 5056d12f2d0e14f10a9ad34afffa3d4730f88678de0138a7d32edc3dcddbe151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1336e14474eb6c7f9c96582e57042dcbdc2f6ff55ccab479f9cba4914765b166",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-09-26T17:56:49Z",
    "title_canon_sha256": "c9d39cd799affd5a2b98849c2e7b59879114c931559452fdddaf1109b1b7b60f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09162",
    "kind": "arxiv",
    "version": 3
  }
}