Pith Number

pith:M2MLFLOC

pith:2015:M2MLFLOCI2CAKD442YXLNYOZXG

not attested not anchored not stored refs pending

Gelfand-Kirillov Dimensions of the Z-graded Oscillator Representations of $\mathfrak{o}(n,\mathbb{C})$ and $\mathfrak{sp}(2n,\mathbb{C})$

Zhanqiang Bai

arxiv:1501.04781 v2 · 2015-01-20 · 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{M2MLFLOCI2CAKD442YXLNYOZXG}

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	2026-05-18T00:39:07.337699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6698b2adc24684050f9cd62eb6e1d9b9978ebc60727fb70582481477d178a708

Aliases

arxiv: 1501.04781 · arxiv_version: 1501.04781v2 · doi: 10.48550/arxiv.1501.04781 · pith_short_12: M2MLFLOCI2CA · pith_short_16: M2MLFLOCI2CAKD44 · pith_short_8: M2MLFLOC

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/M2MLFLOCI2CAKD442YXLNYOZXG \
  | 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: 6698b2adc24684050f9cd62eb6e1d9b9978ebc60727fb70582481477d178a708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "672971d92e326921a528c92827d1f8a535b9865fd9ae1b8be85a6d4622e9cb3a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-01-20T12:33:52Z",
    "title_canon_sha256": "7e16106e66487219a0943caf5a89f80c7624785df09f8c4d084b5ee77e73ab93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04781",
    "kind": "arxiv",
    "version": 2
  }
}