Pith Number

pith:XNZJLEO3

pith:2022:XNZJLEO3IDLPIW3G4HSFPDC2CH

not attested not anchored not stored refs pending

A note on Morita equivalence to graph inverse semigroups

David Milan, Evan Lira, Martha Du Preez, Robert Grimley, Shreyas Ramamurthy

arxiv:2209.06039 v2 · 2022-09-13 · math.GR · 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{XNZJLEO3IDLPIW3G4HSFPDC2CH}

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	2026-07-05T06:33:31.981040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb729591db40d6f45b66e1e4578c5a11cde366fc72e4b4cb7ff4e1cd7e063eb7

Aliases

arxiv: 2209.06039 · arxiv_version: 2209.06039v2 · doi: 10.48550/arxiv.2209.06039 · pith_short_12: XNZJLEO3IDLP · pith_short_16: XNZJLEO3IDLPIW3G · pith_short_8: XNZJLEO3

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/XNZJLEO3IDLPIW3G4HSFPDC2CH \
  | 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: bb729591db40d6f45b66e1e4578c5a11cde366fc72e4b4cb7ff4e1cd7e063eb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c788220c3ea3c5220beb711b83410494b836f9a18ef16f95920b2641958a5b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-09-13T14:45:33Z",
    "title_canon_sha256": "5537d561e24d33ad6980d50fefdb6f8d3d6e84da6ab6d54cad824c8bfa8249f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.06039",
    "kind": "arxiv",
    "version": 2
  }
}