Pith Number

pith:XCLLXD3O

pith:2017:XCLLXD3OBIAFWLFRAS63H5CE4U

not attested not anchored not stored refs pending

A class of C*-algebraic locally compact quantum groupoids Part I. Motivation and definition

Alfons Van Daele, Byung-Jay Kahng

arxiv:1711.00115 v1 · 2017-10-31 · 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{XCLLXD3OBIAFWLFRAS63H5CE4U}

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	2026-05-18T00:31:35.162777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b896bb8f6e0a005b2cb104bdb3f444e503c187c308cec48885e448a88470db54

Aliases

arxiv: 1711.00115 · arxiv_version: 1711.00115v1 · doi: 10.48550/arxiv.1711.00115 · pith_short_12: XCLLXD3OBIAF · pith_short_16: XCLLXD3OBIAFWLFR · pith_short_8: XCLLXD3O

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/XCLLXD3OBIAFWLFRAS63H5CE4U \
  | 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: b896bb8f6e0a005b2cb104bdb3f444e503c187c308cec48885e448a88470db54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "191ea4eb67f183ce49330dfc26a4b80dcdb3198dead795feb8eb42d4e51259eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-10-31T21:16:00Z",
    "title_canon_sha256": "399f505664fedad6892d556cec4f8c34eefc2e561f1e3b7d1ee2f0e8ac3e4e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00115",
    "kind": "arxiv",
    "version": 1
  }
}