Pith Number

pith:LKD5EECM

pith:2015:LKD5EECMSAVJ5Y3OXKEALH6RLO

not attested not anchored not stored refs pending

Some structure theorems for algebraic groups

Michel Brion

arxiv:1509.03059 v3 · 2015-09-10 · 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{LKD5EECMSAVJ5Y3OXKEALH6RLO}

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.

Cited by

1 paper in Pith

On Maximal Symmetries of Toric Varieties over Fields of Characteristic Zero

Receipt and verification

First computed	2026-05-18T00:55:25.615558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a87d2104c902a9ee36eba88059fd15b9bd761e62f5364e069e34f579cd4ad0f

Aliases

arxiv: 1509.03059 · arxiv_version: 1509.03059v3 · doi: 10.48550/arxiv.1509.03059 · pith_short_12: LKD5EECMSAVJ · pith_short_16: LKD5EECMSAVJ5Y3O · pith_short_8: LKD5EECM

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/LKD5EECMSAVJ5Y3OXKEALH6RLO \
  | 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: 5a87d2104c902a9ee36eba88059fd15b9bd761e62f5364e069e34f579cd4ad0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fcb522ceacd1c7279bf6a14cf17c5c779c304d52a8a3ce08da6faea4455e39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-10T09:09:09Z",
    "title_canon_sha256": "d5d4e720bd3ed4f0bb1e09df6edf3e1c8683569eb9bc76849cca4ac946bbe2a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03059",
    "kind": "arxiv",
    "version": 3
  }
}