Pith Number

pith:OP3TI4BR

pith:2017:OP3TI4BRZDJIP2YVUVIJSUWLD7

not attested not anchored not stored refs pending

Mackey formula for bisets over groupoids

Laiachi El Kaoutit, Leonardo Spinosa

arxiv:1711.07203 v2 · 2017-11-20 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OP3TI4BRZDJIP2YVUVIJSUWLD7}

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	2026-05-17T23:58:43.342891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f7347031c8d287eb15a5509952cb1fc2fa941392d0b1c9c93df6e54373229b

Aliases

arxiv: 1711.07203 · arxiv_version: 1711.07203v2 · doi: 10.48550/arxiv.1711.07203 · pith_short_12: OP3TI4BRZDJI · pith_short_16: OP3TI4BRZDJIP2YV · pith_short_8: OP3TI4BR

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/OP3TI4BRZDJIP2YVUVIJSUWLD7 \
  | 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: 73f7347031c8d287eb15a5509952cb1fc2fa941392d0b1c9c93df6e54373229b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3741a50678e7c4195e9b97e19f3b8dcfcb22bb2d07879323b0f24c9154a4554d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-20T08:53:28Z",
    "title_canon_sha256": "17fc0036ef53439c6dddbe736727d7bde1d49adec5fd44bbe043df09b3233e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07203",
    "kind": "arxiv",
    "version": 2
  }
}