Pith Number

pith:5EWPBL23

pith:2018:5EWPBL233DI57IRCZSPM6QI6QT

not attested not anchored not stored refs pending

Dualit\'e de Koszul formelle et th\'eorie des repr\'esentations des groupes alg\'ebriques r\'eductifs en caract\'eristique positive

Pramod N. Achar, Simon Riche

arxiv:1807.08690 v1 · 2018-07-23 · 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{5EWPBL233DI57IRCZSPM6QI6QT}

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	2026-05-18T00:10:04.998518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e92cf0af5bd8d1dfa222cc9ecf411e84c4f3e0519e687bb8683918ea4a197eae

Aliases

arxiv: 1807.08690 · arxiv_version: 1807.08690v1 · doi: 10.48550/arxiv.1807.08690 · pith_short_12: 5EWPBL233DI5 · pith_short_16: 5EWPBL233DI57IRC · pith_short_8: 5EWPBL23

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/5EWPBL233DI57IRCZSPM6QI6QT \
  | 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: e92cf0af5bd8d1dfa222cc9ecf411e84c4f3e0519e687bb8683918ea4a197eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e32c050c405018ab1f4b4c504177cef8da75c1ba0b2dfdca8c415ba2060753",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-07-23T16:01:32Z",
    "title_canon_sha256": "963fb5c49acc29832acfcf5230f58c00fa409b464ea7eecf15567c395dde5c61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08690",
    "kind": "arxiv",
    "version": 1
  }
}