Pith Number

pith:7Q63G5AJ

pith:2022:7Q63G5AJWWKTZCGAUOFBIOQRDM

not attested not anchored not stored refs pending

Non-unital Ore extensions

Johan \"Oinert, Johan Richter, Patrik Lundstr\"om

arxiv:2206.05071 v2 · 2022-06-10 · 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{7Q63G5AJWWKTZCGAUOFBIOQRDM}

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	2026-07-05T04:41:56.439950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3db37409b5953c88c0a38a143a111b290ba89863faa3d1ade7041ab2497f4c

Aliases

arxiv: 2206.05071 · arxiv_version: 2206.05071v2 · doi: 10.48550/arxiv.2206.05071 · pith_short_12: 7Q63G5AJWWKT · pith_short_16: 7Q63G5AJWWKTZCGA · pith_short_8: 7Q63G5AJ

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/7Q63G5AJWWKTZCGAUOFBIOQRDM \
  | 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: fc3db37409b5953c88c0a38a143a111b290ba89863faa3d1ade7041ab2497f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c37a4be666adb4cfd893c2636965ba584d7c668791c8aad34312ef2f44175300",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2022-06-10T13:04:41Z",
    "title_canon_sha256": "cb09a273eefe19202e194944ef5bcc119bccdc5f5a41b0653b32e4788b88d1d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.05071",
    "kind": "arxiv",
    "version": 2
  }
}