Pith Number

pith:VCD4Y3U7

pith:2018:VCD4Y3U7CB4IL7S7Q75XT7WIOE

not attested not anchored not stored refs pending

Verma Modules over a ${\mathbb Z}_2 \otimes {\mathbb Z}_2$ Graded Superalgebra and Invariant Differential Equations

N. Aizawa

arxiv:1801.02275 v2 · 2018-01-07 · math-ph · math.MP · 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{VCD4Y3U7CB4IL7S7Q75XT7WIOE}

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	2026-05-18T00:22:02.382483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a887cc6e9f107885fe5f87fb79fec8711b9c6638e595541c93a098039354a1a7

Aliases

arxiv: 1801.02275 · arxiv_version: 1801.02275v2 · doi: 10.48550/arxiv.1801.02275 · pith_short_12: VCD4Y3U7CB4I · pith_short_16: VCD4Y3U7CB4IL7S7 · pith_short_8: VCD4Y3U7

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/VCD4Y3U7CB4IL7S7Q75XT7WIOE \
  | 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: a887cc6e9f107885fe5f87fb79fec8711b9c6638e595541c93a098039354a1a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d50612260ae9f3ebf0983e981a035048d998c1be31bef24045f8b4848b7a5238",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-07T23:44:05Z",
    "title_canon_sha256": "3f49953bd9434ddce3e85b7a951139f568cefcb249d68673c9a9ad68fd53ed9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02275",
    "kind": "arxiv",
    "version": 2
  }
}