Pith Number

pith:FMQF5VNN

pith:2011:FMQF5VNNILVLPY7SOT3QP3KQ7T

not attested not anchored not stored refs pending

Support varieties of $(\frak g, \frak k)$-modules of finite type

Alexey V. Petukhov

arxiv:1101.0472 v1 · 2011-01-03 · 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{FMQF5VNNILVLPY7SOT3QP3KQ7T}

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	2026-05-18T04:32:10.321838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b205ed5ad42eab7e3f274f707ed50fccede747a55c76bfe31c43152060a2103

Aliases

arxiv: 1101.0472 · arxiv_version: 1101.0472v1 · doi: 10.48550/arxiv.1101.0472 · pith_short_12: FMQF5VNNILVL · pith_short_16: FMQF5VNNILVLPY7S · pith_short_8: FMQF5VNN

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/FMQF5VNNILVLPY7SOT3QP3KQ7T \
  | 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: 2b205ed5ad42eab7e3f274f707ed50fccede747a55c76bfe31c43152060a2103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "264be597bad26b495ab7eaf2b511ac325447b1d164562877c13327c82a74bd48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-01-03T08:52:53Z",
    "title_canon_sha256": "e8dd13ce87539a0ed02295e170ad5fb9b446e0e17b16bdfd24ddb318c391c0ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0472",
    "kind": "arxiv",
    "version": 1
  }
}