Pith Number

pith:NC34BHZO

pith:2015:NC34BHZOKQ4SALGGEJCP65QRBR

not attested not anchored not stored refs pending

Connectedness of cup products for polynomial representations of $GL_n$ and applications

Antoine Touz\'e

arxiv:1508.06049 v3 · 2015-08-25 · 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{NC34BHZOKQ4SALGGEJCP65QRBR}

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	2026-05-18T00:19:31.287953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b7c09f2e5439202cc62244ff76110c57c0ed7ca7371cf42269c31289b4285b

Aliases

arxiv: 1508.06049 · arxiv_version: 1508.06049v3 · doi: 10.48550/arxiv.1508.06049 · pith_short_12: NC34BHZOKQ4S · pith_short_16: NC34BHZOKQ4SALGG · pith_short_8: NC34BHZO

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/NC34BHZOKQ4SALGGEJCP65QRBR \
  | 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: 68b7c09f2e5439202cc62244ff76110c57c0ed7ca7371cf42269c31289b4285b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d4d753f97b443e3bd4949e72b2418468e4b67da03bb6c6b101828580f41d4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-08-25T07:25:31Z",
    "title_canon_sha256": "5b0d8b67784522822e8f4d0023176d5732a04af63406504045d9f44a83849d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06049",
    "kind": "arxiv",
    "version": 3
  }
}