Pith Number

pith:Y7BDCBR5

pith:2025:Y7BDCBR5MN2QHGOR3EVYZFDXHO

not attested not anchored not stored refs pending

On weakly amenable groupoids

Tom\'as Pacheco

arxiv:2503.16017 v1 · 2025-03-20 · 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{Y7BDCBR5MN2QHGOR3EVYZFDXHO}

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.

Cited by

1 paper in Pith

Spaces of UCP maps and subalgebras of von Neumann algebras

Receipt and verification

First computed	2026-07-05T10:36:04.334655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c231063d63750399d1d92b8c94773ba5cc510bbc0d1302413fce61db14c81a

Aliases

arxiv: 2503.16017 · arxiv_version: 2503.16017v1 · doi: 10.48550/arxiv.2503.16017 · pith_short_12: Y7BDCBR5MN2Q · pith_short_16: Y7BDCBR5MN2QHGOR · pith_short_8: Y7BDCBR5

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/Y7BDCBR5MN2QHGOR3EVYZFDXHO \
  | 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: c7c231063d63750399d1d92b8c94773ba5cc510bbc0d1302413fce61db14c81a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3049a797f58ce3a912ac9968bef368f3cc75f4b78e6a600df56afbb7bc2487b9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-03-20T10:34:10Z",
    "title_canon_sha256": "356fb74996af7c26b3c70722c97aed3b05412743b19626ee27b489c3449c565d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.16017",
    "kind": "arxiv",
    "version": 1
  }
}