Pith Number

pith:U2M4GOGF

pith:2016:U2M4GOGFZCJE6V74SB7YITAIVM

not attested not anchored not stored refs pending

On Categories of Admissible $\big(\mathfrak{g},\mathrm{sl}(2)\big)$-Modules

Gregg Zuckerman, Ivan Penkov, Vera Serganova

arxiv:1604.04672 v1 · 2016-04-16 · 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{U2M4GOGFZCJE6V74SB7YITAIVM}

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	2026-05-18T01:16:59.020773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a699c338c5c8924f57fc907f844c08ab13e5a1fd0884de5b9727d88950208282

Aliases

arxiv: 1604.04672 · arxiv_version: 1604.04672v1 · doi: 10.48550/arxiv.1604.04672 · pith_short_12: U2M4GOGFZCJE · pith_short_16: U2M4GOGFZCJE6V74 · pith_short_8: U2M4GOGF

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/U2M4GOGFZCJE6V74SB7YITAIVM \
  | 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: a699c338c5c8924f57fc907f844c08ab13e5a1fd0884de5b9727d88950208282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24c16b7e7df82a2c2de49f272abbf905e17f1241a5260e4fc2c942d249461f4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-04-16T00:45:54Z",
    "title_canon_sha256": "2580f7c40a6aca22602a6c0db91f69309692a247f9013a1f39b8e8fe35485b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04672",
    "kind": "arxiv",
    "version": 1
  }
}