Pith Number

pith:KIRL47EQ

pith:2012:KIRL47EQBEPLGU2Q64WFB7DQIZ

not attested not anchored not stored refs pending

Weight modules over infinite dimensional Weyl algebras

Dimitar Grantcharov, Volodymyr Mazorchuk, Vyacheslav Futorny

arxiv:1207.5780 v2 · 2012-07-24 · 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{KIRL47EQBEPLGU2Q64WFB7DQIZ}

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	2026-05-18T03:42:45.978651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5222be7c90091eb35350f72c50fc70467384614de7a140d034001e91deeea093

Aliases

arxiv: 1207.5780 · arxiv_version: 1207.5780v2 · doi: 10.48550/arxiv.1207.5780 · pith_short_12: KIRL47EQBEPL · pith_short_16: KIRL47EQBEPLGU2Q · pith_short_8: KIRL47EQ

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/KIRL47EQBEPLGU2Q64WFB7DQIZ \
  | 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: 5222be7c90091eb35350f72c50fc70467384614de7a140d034001e91deeea093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9468c6b2aefabf41703614538a89efbd69c3b30547c4abd4ccafac599f7b37c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-07-24T19:30:20Z",
    "title_canon_sha256": "f06f968bbecc43e14e5248547ae85d2c62830f0eae4f3607ba66396ab51669f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5780",
    "kind": "arxiv",
    "version": 2
  }
}