Pith Number

pith:J2JMXAGH

pith:2013:J2JMXAGHZQSSEPQZB6KP6LFYIU

not attested not anchored not stored refs pending

Simple Semigroup Graded Rings

Johan \"Oinert, Patrik Nystedt

arxiv:1308.3459 v4 · 2013-08-15 · 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{J2JMXAGHZQSSEPQZB6KP6LFYIU}

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	2026-05-18T02:43:16.483309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e92cb80c7cc25223e190f94ff2cb8450c42fae4afaff2690818892d3fa5a3aa

Aliases

arxiv: 1308.3459 · arxiv_version: 1308.3459v4 · doi: 10.48550/arxiv.1308.3459 · pith_short_12: J2JMXAGHZQSS · pith_short_16: J2JMXAGHZQSSEPQZ · pith_short_8: J2JMXAGH

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/J2JMXAGHZQSSEPQZB6KP6LFYIU \
  | 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: 4e92cb80c7cc25223e190f94ff2cb8450c42fae4afaff2690818892d3fa5a3aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae4648afbc7c9fe0dc655a4203683904cf0b3c9b762993c4d336a88aa1047aa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-15T17:11:13Z",
    "title_canon_sha256": "42b05309b9eac324eb75f91e8cda9a7d2f7e4339d68f6677bd9226966f3e95bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3459",
    "kind": "arxiv",
    "version": 4
  }
}