Pith Number

pith:TONT3IUK

pith:2018:TONT3IUKOHJEU2HLXC7B5RCAU6

not attested not anchored not stored refs pending

Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type $A_{2l-1}^{(2)}$, $D_l^{(2)}$, $E_6^{(2)}$ and $D_4^{(3)}$

Christopher Sadowski, Marijana Butorac

arxiv:1803.06733 v2 · 2018-03-18 · math.QA · 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{TONT3IUKOHJEU2HLXC7B5RCAU6}

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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	2026-05-17T23:58:30.975371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b9b3da28a71d24a68ebb8be1ec440a7af5e86a59fa7e601c43fe9b7564144f2

Aliases

arxiv: 1803.06733 · arxiv_version: 1803.06733v2 · doi: 10.48550/arxiv.1803.06733 · pith_short_12: TONT3IUKOHJE · pith_short_16: TONT3IUKOHJEU2HL · pith_short_8: TONT3IUK

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/TONT3IUKOHJEU2HLXC7B5RCAU6 \
  | 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: 9b9b3da28a71d24a68ebb8be1ec440a7af5e86a59fa7e601c43fe9b7564144f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be11d13bea024ca19c6e4c045bfdbb6ee58843cb31dc0466b397bf70b729c8bf",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-03-18T20:30:45Z",
    "title_canon_sha256": "6759da338c19678d503624ab25761316716669b2257e5e8d6d13a6b296bf6b92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06733",
    "kind": "arxiv",
    "version": 2
  }
}