Pith Number

pith:NDE472HD

pith:2013:NDE472HDNLKPWI3QMPYIZXZTEZ

not attested not anchored not stored refs pending

Representation theory of Mackey Lie algebras and their dense subalgebras

Ivan Penkov, Vera Serganova

arxiv:1311.5217 v2 · 2013-11-20 · 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{NDE472HDNLKPWI3QMPYIZXZTEZ}

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	2026-05-18T01:37:02.551574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c9cfe8e36ad4fb237063f08cdf332641ebb244a1bac1bb3b50031e049efc4f

Aliases

arxiv: 1311.5217 · arxiv_version: 1311.5217v2 · doi: 10.48550/arxiv.1311.5217 · pith_short_12: NDE472HDNLKP · pith_short_16: NDE472HDNLKPWI3Q · pith_short_8: NDE472HD

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/NDE472HDNLKPWI3QMPYIZXZTEZ \
  | 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: 68c9cfe8e36ad4fb237063f08cdf332641ebb244a1bac1bb3b50031e049efc4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c6cd0e35bfa75e8370e415769f5d9b905a414f3256d24bc559a3455bbb6ae9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-11-20T20:58:16Z",
    "title_canon_sha256": "1ada40612ba8ca55b6cf36a6347147d3ae6a50c898f6327acc6615125a6e3ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5217",
    "kind": "arxiv",
    "version": 2
  }
}