Pith Number

pith:AXFHY2BJ

pith:2011:AXFHY2BJIWAZVKLP6XVNXJWUWJ

not attested not anchored not stored refs pending

Groupoids and inverse semigroups associated to W*-algebras

Anatol Odzijewicz, Aneta Sli\.zewska

arxiv:1110.6305 v2 · 2011-10-28 · math.OA · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXFHY2BJIWAZVKLP6XVNXJWUWJ}

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	2026-05-18T04:03:20.176411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05ca7c682945819aa96ff5eadba6d4b27f53e77589a5928f602cf0a14188e334

Aliases

arxiv: 1110.6305 · arxiv_version: 1110.6305v2 · doi: 10.48550/arxiv.1110.6305 · pith_short_12: AXFHY2BJIWAZ · pith_short_16: AXFHY2BJIWAZVKLP · pith_short_8: AXFHY2BJ

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/AXFHY2BJIWAZVKLP6XVNXJWUWJ \
  | 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: 05ca7c682945819aa96ff5eadba6d4b27f53e77589a5928f602cf0a14188e334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a45f4f6fd0815e5d6c7c320e06205ea924dc64c4e20e31cb7f322eeaa2d13f9",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-10-28T12:02:03Z",
    "title_canon_sha256": "fe894afae2d97f3f701ff6acc8e34aa490151b0e93db0604ed56d67291b9b6b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6305",
    "kind": "arxiv",
    "version": 2
  }
}