Pith Number

pith:T7T533V4

pith:2012:T7T533V4LCZUTTGD4LDC7Z55RM

not attested not anchored not stored refs pending

Free resolutions of orbit closures for the representations associated to gradings on Lie algebras of type $E_6$, $F_4$ and $G_2$

Federico Galetto

arxiv:1210.6410 v3 · 2012-10-24 · math.RT · math.AC · 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{T7T533V4LCZUTTGD4LDC7Z55RM}

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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	2026-05-18T00:35:05.895898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fe7ddeebc58b349ccc3e2c62fe7bd8b0793eb2e044faf3c562481323f327eb4

Aliases

arxiv: 1210.6410 · arxiv_version: 1210.6410v3 · doi: 10.48550/arxiv.1210.6410 · pith_short_12: T7T533V4LCZU · pith_short_16: T7T533V4LCZUTTGD · pith_short_8: T7T533V4

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/T7T533V4LCZUTTGD4LDC7Z55RM \
  | 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: 9fe7ddeebc58b349ccc3e2c62fe7bd8b0793eb2e044faf3c562481323f327eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54d39cab3922a24941d64f79309e43c4c20a230cb445dbd733106fa26ec4af4",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-24T00:19:48Z",
    "title_canon_sha256": "94004c0472dff929f53954be33a96db8e6407ee4ebcbd80081fb8f4a55c65e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6410",
    "kind": "arxiv",
    "version": 3
  }
}