Pith Number

pith:MNOUEVIO

pith:2015:MNOUEVIOY4OPC4SKAOPV7FZJDX

not attested not anchored not stored refs pending

Imaginary Verma Modules for $U_q(\widehat{\mathfrak{sl}(2)})$ and Crystal-like bases

Ben Cox, Kailash Misra, Vyacheslav Futorny

arxiv:1509.00865 v1 · 2015-09-02 · 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{MNOUEVIOY4OPC4SKAOPV7FZJDX}

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	2026-05-18T01:34:04.955222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

635d42550ec71cf1724a039f5f97291dd204204f4848d6925496ec251b64764f

Aliases

arxiv: 1509.00865 · arxiv_version: 1509.00865v1 · doi: 10.48550/arxiv.1509.00865 · pith_short_12: MNOUEVIOY4OP · pith_short_16: MNOUEVIOY4OPC4SK · pith_short_8: MNOUEVIO

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/MNOUEVIOY4OPC4SKAOPV7FZJDX \
  | 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: 635d42550ec71cf1724a039f5f97291dd204204f4848d6925496ec251b64764f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a5083014dc749e2575f1172b7396ce250725a28b951b3eff9c25ae1c7b5bded",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-02T20:24:08Z",
    "title_canon_sha256": "17fc54812721d315f9caa400dd3c2192b0e471729b92b8d8dd441db430aca85d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00865",
    "kind": "arxiv",
    "version": 1
  }
}