Pith Number

pith:5ZS6DTEQ

pith:2018:5ZS6DTEQT73XIV6DTAQVBFYFWT

not attested not anchored not stored refs pending

Linear Representations and Frobenius Morphisms of Groupoids

Juan Jes\'us Barbar\'an S\'anchez, Laiachi El Kaoutit

arxiv:1806.09327 v2 · 2018-06-25 · math.RT · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZS6DTEQT73XIV6DTAQVBFYFWT}

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	2026-05-17T23:51:33.740962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee65e1cc909ff77457c39821509705b4da2de413142c7424090ad242935e79e7

Aliases

arxiv: 1806.09327 · arxiv_version: 1806.09327v2 · doi: 10.48550/arxiv.1806.09327 · pith_short_12: 5ZS6DTEQT73X · pith_short_16: 5ZS6DTEQT73XIV6D · pith_short_8: 5ZS6DTEQ

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/5ZS6DTEQT73XIV6DTAQVBFYFWT \
  | 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: ee65e1cc909ff77457c39821509705b4da2de413142c7424090ad242935e79e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01312dfdda9decf5e57e5015a620411047d6532a875e5f30dab940fce854e10e",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-06-25T08:44:35Z",
    "title_canon_sha256": "e99faf13029196eb98761a8928a69840c02f80087e1401cb2e5f991206a19c81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09327",
    "kind": "arxiv",
    "version": 2
  }
}