Pith Number

pith:GO433EQ6

pith:2014:GO433EQ6J765ZMUGHQUOSOQOMW

not attested not anchored not stored refs pending

The q-theory of finite semigroups: history and mathematics

Stuart W. Margolis

arxiv:1409.2308 v2 · 2014-09-08 · 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{GO433EQ6J765ZMUGHQUOSOQOMW}

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	2026-05-18T02:43:10.397586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33b9bd921e4ffddcb2863c28e93a0e65af69493cbeba88977b6076f3bcb6d02e

Aliases

arxiv: 1409.2308 · arxiv_version: 1409.2308v2 · doi: 10.48550/arxiv.1409.2308 · pith_short_12: GO433EQ6J765 · pith_short_16: GO433EQ6J765ZMUG · pith_short_8: GO433EQ6

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/GO433EQ6J765ZMUGHQUOSOQOMW \
  | 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: 33b9bd921e4ffddcb2863c28e93a0e65af69493cbeba88977b6076f3bcb6d02e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da5b4c354f897d62c783d4d0b13367d37c6b7db581d5b7c7d591e9e576e2cb9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-08T12:03:45Z",
    "title_canon_sha256": "39abd7cdac41afcd8f3cf30264ffe29b6989240f23c9b2a9f61972f62880e7c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2308",
    "kind": "arxiv",
    "version": 2
  }
}