Pith Number

pith:JNKIOX4N

pith:2019:JNKIOX4NG4Q2EABLOH43VKNGYK

not attested not anchored not stored refs pending

On free subsemigroups of associative algebras

Edward S. Letzter

arxiv:1903.04266 v3 · 2019-03-11 · 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{JNKIOX4NG4Q2EABLOH43VKNGYK}

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	2026-05-17T23:49:21.760450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b54875f8d3721a2002b71f9baa9a6c2b25b18a651452d0a0620830ed8536d7b

Aliases

arxiv: 1903.04266 · arxiv_version: 1903.04266v3 · doi: 10.48550/arxiv.1903.04266 · pith_short_12: JNKIOX4NG4Q2 · pith_short_16: JNKIOX4NG4Q2EABL · pith_short_8: JNKIOX4N

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/JNKIOX4NG4Q2EABLOH43VKNGYK \
  | 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: 4b54875f8d3721a2002b71f9baa9a6c2b25b18a651452d0a0620830ed8536d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1c7a38cf96c549d025d68da5fe6c41122b2e336bd8b0aae6bf38f28a3cfd0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-03-11T12:58:57Z",
    "title_canon_sha256": "cf2a73e811f6a7e42aed12dc3b9b9b7794d4d0547d7715b604fe0b79810b27f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04266",
    "kind": "arxiv",
    "version": 3
  }
}