Pith Number

pith:QA3Y343D

pith:2012:QA3Y343DWLQYUKKRLTEXPMSS2P

not attested not anchored not stored refs pending

Two-generated algebras and standard-form congruence

Jason Gaddis

arxiv:1209.6544 v4 · 2012-09-28 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QA3Y343DWLQYUKKRLTEXPMSS2P}

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	2026-05-18T00:05:34.871820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80378df363b2e18a29515cc977b252d3dd37d84c8286e815f134639d2380f484

Aliases

arxiv: 1209.6544 · arxiv_version: 1209.6544v4 · doi: 10.48550/arxiv.1209.6544 · pith_short_12: QA3Y343DWLQY · pith_short_16: QA3Y343DWLQYUKKR · pith_short_8: QA3Y343D

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/QA3Y343DWLQYUKKRLTEXPMSS2P \
  | 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: 80378df363b2e18a29515cc977b252d3dd37d84c8286e815f134639d2380f484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b2687088e26c829d7fe61899d9a9c9c82592956dbf02bfac19ff6a228dc3ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-09-28T15:29:57Z",
    "title_canon_sha256": "c0365f300fe1238c727cb217c6f9707c59b13f30da0852f32b0c266447f43d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6544",
    "kind": "arxiv",
    "version": 4
  }
}