Pith Number

pith:OCWPB3YL

pith:2011:OCWPB3YL67BDQOMTI6DCQXDEER

not attested not anchored not stored refs pending

On the structure of the fundamental series of generalized Harish-Chandra modules

Gregg Zuckerman, Ivan Penkov

arxiv:1109.1804 v1 · 2011-09-08 · 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{OCWPB3YL67BDQOMTI6DCQXDEER}

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	2026-05-18T04:13:48.015614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70acf0ef0bf7c23839934786285c642461c355697a6f2acbe8757ab26061a808

Aliases

arxiv: 1109.1804 · arxiv_version: 1109.1804v1 · doi: 10.48550/arxiv.1109.1804 · pith_short_12: OCWPB3YL67BD · pith_short_16: OCWPB3YL67BDQOMT · pith_short_8: OCWPB3YL

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/OCWPB3YL67BDQOMTI6DCQXDEER \
  | 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: 70acf0ef0bf7c23839934786285c642461c355697a6f2acbe8757ab26061a808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b098ef582e8733180536c124d4bccd6e11cfdf0ae5a674dfe7ba231c9507293c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-09-08T18:59:06Z",
    "title_canon_sha256": "3964f2ca9cffef2b9c3145ef29b70bb6128fd6254d015d37eb46f06d0f3e1dc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1804",
    "kind": "arxiv",
    "version": 1
  }
}