Pith Number

pith:K4V3GIEU

pith:2014:K4V3GIEUP7AFGR26MPAIDU7NEY

not attested not anchored not stored refs pending

Algebroids associated to the groupoid of partially invertible elements of a $W^*$-algebra

Anatol Odzijewicz, Aneta Sli\.zewska, Grzegorz Jakimowicz

arxiv:1401.0810 v1 · 2014-01-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4V3GIEUP7AFGR26MPAIDU7NEY}

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	2026-05-18T01:25:08.779375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572bb320947fc053475e63c081d3ed26236f88761e8a72bb1a9c8a53c5375bdf

Aliases

arxiv: 1401.0810 · arxiv_version: 1401.0810v1 · doi: 10.48550/arxiv.1401.0810 · pith_short_12: K4V3GIEUP7AF · pith_short_16: K4V3GIEUP7AFGR26 · pith_short_8: K4V3GIEU

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/K4V3GIEUP7AFGR26MPAIDU7NEY \
  | 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: 572bb320947fc053475e63c081d3ed26236f88761e8a72bb1a9c8a53c5375bdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbc2ee9d6824981dc632cd47ba12ac4f35f51d4198599792a98328bbd913e889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-01-04T13:33:12Z",
    "title_canon_sha256": "8c756a9e9d19e6c7e8dd7f9f9a90cbbbdda7aa8deac51141cf120774581b537d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0810",
    "kind": "arxiv",
    "version": 1
  }
}