Pith Number

pith:WBGFNO6P

pith:2015:WBGFNO6PDHJ7LUS4CHADWZQQ5S

not attested not anchored not stored refs pending

Irreducible components of varieties of representations II

Birge Huisgen-Zimmermann, Ian Shipman

arxiv:1509.08051 v2 · 2015-09-27 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBGFNO6PDHJ7LUS4CHADWZQQ5S}

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	2026-05-18T00:53:08.891053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b04c56bbcf19d3f5d25c11c03b6610ec8eeb8a3b83c6a4eea8dea834c1afb348

Aliases

arxiv: 1509.08051 · arxiv_version: 1509.08051v2 · doi: 10.48550/arxiv.1509.08051 · pith_short_12: WBGFNO6PDHJ7 · pith_short_16: WBGFNO6PDHJ7LUS4 · pith_short_8: WBGFNO6P

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/WBGFNO6PDHJ7LUS4CHADWZQQ5S \
  | 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: b04c56bbcf19d3f5d25c11c03b6610ec8eeb8a3b83c6a4eea8dea834c1afb348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5af2b6d8b5a60658050894a8960869f2dbf6d2fad752cfccaf19b8971f0d3ff",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-27T04:10:36Z",
    "title_canon_sha256": "59f47d4239c9ce6e6a85edd45c6f2487756e53987dc0aef88b4a380734d1774a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08051",
    "kind": "arxiv",
    "version": 2
  }
}