Pith Number

pith:24SC3A3L

pith:2011:24SC3A3LSEOQEUA3FG2OFZJI5Y

not attested not anchored not stored refs pending

Some operators that preserve the locality of a pseudovariety of semigroups

Alfredo Costa, Ana Escada

arxiv:1112.6120 v2 · 2011-12-28 · 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{24SC3A3LSEOQEUA3FG2OFZJI5Y}

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	2026-05-18T02:45:41.320408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7242d836b911d02501b29b4e2e528ee34ebda21447ec3bcd4f9ddaf31057d1c

Aliases

arxiv: 1112.6120 · arxiv_version: 1112.6120v2 · doi: 10.48550/arxiv.1112.6120 · pith_short_12: 24SC3A3LSEOQ · pith_short_16: 24SC3A3LSEOQEUA3 · pith_short_8: 24SC3A3L

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/24SC3A3LSEOQEUA3FG2OFZJI5Y \
  | 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: d7242d836b911d02501b29b4e2e528ee34ebda21447ec3bcd4f9ddaf31057d1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e17365d6748626b24a570c86b9a36d1350f91fc8763c55fb6ff97f172e88241",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-28T14:10:09Z",
    "title_canon_sha256": "cc425732d68a15d89481a38b4e765712ea8424b37d3635deddc671234b2e8dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6120",
    "kind": "arxiv",
    "version": 2
  }
}