Pith Number

pith:72OPKD5F

pith:2022:72OPKD5F3KT534GL7YF7QT42EX

not attested not anchored not stored refs pending

The ideal structure of partial skew groupoid rings with applications to topological dynamics and ultragraph algebras

Daniel Gon\c{c}alves, Dirceu Bagio, Johan \"Oinert, Paula Savana Est\'acio Moreira

arxiv:2211.13071 v2 · 2022-11-23 · math.RA · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72OPKD5F3KT534GL7YF7QT42EX}

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	2026-07-05T05:25:17.596240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9cf50fa5daa7ddf0cbfe0bf84f9a25cfda9b786d604552220f95a6c6c866dd

Aliases

arxiv: 2211.13071 · arxiv_version: 2211.13071v2 · doi: 10.48550/arxiv.2211.13071 · pith_short_12: 72OPKD5F3KT5 · pith_short_16: 72OPKD5F3KT534GL · pith_short_8: 72OPKD5F

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/72OPKD5F3KT534GL7YF7QT42EX \
  | 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: fe9cf50fa5daa7ddf0cbfe0bf84f9a25cfda9b786d604552220f95a6c6c866dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6654961bdd35053ece362a7f1d063105a04997d53d6ca90470974b672adac3e",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2022-11-23T16:02:28Z",
    "title_canon_sha256": "756669ec607a68043182169a1ada1bbb4b96635257426dabb7137460d6581ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.13071",
    "kind": "arxiv",
    "version": 2
  }
}