Pith Number

pith:6WWJOIWD

pith:2016:6WWJOIWD6SHR6GGVSKJ7ARGPYH

not attested not anchored not stored refs pending

An approach to categorification of Verma modules

Gr\'egoire Naisse, Pedro Vaz

arxiv:1603.01555 v4 · 2016-03-04 · math.RT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WWJOIWD6SHR6GGVSKJ7ARGPYH}

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	2026-05-18T00:11:44.202068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5ac9722c3f48f1f18d59293f044cfc1f882813b266331effd02f1e1b06746e1

Aliases

arxiv: 1603.01555 · arxiv_version: 1603.01555v4 · doi: 10.48550/arxiv.1603.01555 · pith_short_12: 6WWJOIWD6SHR · pith_short_16: 6WWJOIWD6SHR6GGV · pith_short_8: 6WWJOIWD

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/6WWJOIWD6SHR6GGVSKJ7ARGPYH \
  | 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: f5ac9722c3f48f1f18d59293f044cfc1f882813b266331effd02f1e1b06746e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eebfef0f25dc1bae543e8bfb90453816d8f3dba7bcb8bba7ae103c9f46d99d41",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-03-04T18:07:56Z",
    "title_canon_sha256": "95b178eb22ca99eedef3f5dc012112182312653888f8e289540e587302b2172b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01555",
    "kind": "arxiv",
    "version": 4
  }
}