Pith Number

pith:ERQDAVEK

pith:2013:ERQDAVEKCDODZJGW34Z43CENP6

not attested not anchored not stored refs pending

Hopfian and co-hopfian subsemigroups and extensions

Alan J. Cain, Victor Maltcev

arxiv:1305.6176 v2 · 2013-05-27 · 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{ERQDAVEKCDODZJGW34Z43CENP6}

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	2026-05-18T01:29:51.631870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

246030548a10dc3ca4d6df33cd888d7fa6da263a92c4352f0d9ea357664f4044

Aliases

arxiv: 1305.6176 · arxiv_version: 1305.6176v2 · doi: 10.48550/arxiv.1305.6176 · pith_short_12: ERQDAVEKCDOD · pith_short_16: ERQDAVEKCDODZJGW · pith_short_8: ERQDAVEK

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/ERQDAVEKCDODZJGW34Z43CENP6 \
  | 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: 246030548a10dc3ca4d6df33cd888d7fa6da263a92c4352f0d9ea357664f4044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a36b5b98684b785276519cc52b7cabeaddd594cc1838943a12796c6ad91dfccc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-27T11:05:45Z",
    "title_canon_sha256": "601e79cd9cdbcd29d3ef70e200eab216d5b20439949061d74ebed9474eb26d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6176",
    "kind": "arxiv",
    "version": 2
  }
}