Pith Number

pith:HEIRRKA3

pith:2016:HEIRRKA3UR3QC6X7YP5UUWTS3Z

not attested not anchored not stored refs pending

Equidivisible pseudovarieties of semigroups

Alfredo Costa, Jorge Almeida

arxiv:1603.00330 v1 · 2016-03-01 · 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{HEIRRKA3UR3QC6X7YP5UUWTS3Z}

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	2026-05-17T23:51:15.065923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

391118a81ba477017affc3fb4a5a72de55430d7a72438199fc9f9813bf193ad1

Aliases

arxiv: 1603.00330 · arxiv_version: 1603.00330v1 · doi: 10.48550/arxiv.1603.00330 · pith_short_12: HEIRRKA3UR3Q · pith_short_16: HEIRRKA3UR3QC6X7 · pith_short_8: HEIRRKA3

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/HEIRRKA3UR3QC6X7YP5UUWTS3Z \
  | 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: 391118a81ba477017affc3fb4a5a72de55430d7a72438199fc9f9813bf193ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2c2048dece99dc081da31b7aa9fb0edc340d50795dad5a8005bc7faf8e71d11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-01T15:53:47Z",
    "title_canon_sha256": "17ce8e23994c5876914121bc563a7a9bf28df45620892171400437dff8965bc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00330",
    "kind": "arxiv",
    "version": 1
  }
}