Pith Number

pith:ETGC7IKZ

pith:2010:ETGC7IKZ32SUIBHETJZ5T5CIJM

not attested not anchored not stored refs pending

Imprimitivity theorem for groupoid representations

Leszek Pysiak

arxiv:1008.2084 v1 · 2010-08-12 · 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{ETGC7IKZ32SUIBHETJZ5T5CIJM}

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	2026-05-18T04:42:21.728169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24cc2fa159dea54404e49a73d9f4484b3049e321e57f0338ee0d2707cd7694ce

Aliases

arxiv: 1008.2084 · arxiv_version: 1008.2084v1 · doi: 10.48550/arxiv.1008.2084 · pith_short_12: ETGC7IKZ32SU · pith_short_16: ETGC7IKZ32SUIBHE · pith_short_8: ETGC7IKZ

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/ETGC7IKZ32SUIBHETJZ5T5CIJM \
  | 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: 24cc2fa159dea54404e49a73d9f4484b3049e321e57f0338ee0d2707cd7694ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d0ad6a6f05984c0a801da98feb4076d6e044924061b61b54343654c5eaef20a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-08-12T10:24:23Z",
    "title_canon_sha256": "63938d026e76439afcfc5559e418573d073af21b6e737a216596122ec1a0328c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2084",
    "kind": "arxiv",
    "version": 1
  }
}