Pith Number

pith:LBKZOALB

pith:2013:LBKZOALBY7DP4AJVFF7KHGIR3T

not attested not anchored not stored refs pending

Extensions of Verma modules

Rahbar Virk

arxiv:1303.6535 v2 · 2013-03-26 · 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{LBKZOALBY7DP4AJVFF7KHGIR3T}

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	2026-05-18T02:45:32.118080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5855970161c7c6fe0135297ea39911dcf6156082dd9140e785effa3ed181a6c1

Aliases

arxiv: 1303.6535 · arxiv_version: 1303.6535v2 · doi: 10.48550/arxiv.1303.6535 · pith_short_12: LBKZOALBY7DP · pith_short_16: LBKZOALBY7DP4AJV · pith_short_8: LBKZOALB

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/LBKZOALBY7DP4AJVFF7KHGIR3T \
  | 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: 5855970161c7c6fe0135297ea39911dcf6156082dd9140e785effa3ed181a6c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5cc10c38993b3a7f893b3dab0f1265db8010c795f988984fa07636b19da009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-03-26T15:51:53Z",
    "title_canon_sha256": "818dafc43676afa33763cb2c5fd3702a0bce7ec747d22527f578739f455cd2d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6535",
    "kind": "arxiv",
    "version": 2
  }
}