Pith Number

pith:5I7L566E

pith:2016:5I7L566EYZGF45NORWE67O2QAJ

not attested not anchored not stored refs pending

Determinant Formula for Parabolic Verma Modules of Lie Superalgebras

Masahito Yamazaki, Yoshiki Oshima

arxiv:1603.06705 v1 · 2016-03-22 · math.RT · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5I7L566EYZGF45NORWE67O2QAJ}

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	2026-05-18T00:28:27.328331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea3ebefbc4c64c5e75ae8d89efbb500254f39b8a600961cdf4b5ce538fdd3adb

Aliases

arxiv: 1603.06705 · arxiv_version: 1603.06705v1 · doi: 10.48550/arxiv.1603.06705 · pith_short_12: 5I7L566EYZGF · pith_short_16: 5I7L566EYZGF45NO · pith_short_8: 5I7L566E

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/5I7L566EYZGF45NORWE67O2QAJ \
  | 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: ea3ebefbc4c64c5e75ae8d89efbb500254f39b8a600961cdf4b5ce538fdd3adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3a9e625d323ff00f3f75d217aabeade5d2382d4efe8672df326232d5750af8a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-03-22T08:36:23Z",
    "title_canon_sha256": "04f2c1672c2ddb85d859fb849812e3bc1c61ff9ab9e018fc41ab6836fe1147e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06705",
    "kind": "arxiv",
    "version": 1
  }
}