Pith Number

pith:VDJEOXUI

pith:2015:VDJEOXUICWUD7Y6X2UWG6AHUFB

not attested not anchored not stored refs pending

On the composition structure of the twisted Verma modules for $\mathfrak{sl}(3,\mathbb{C})$

Libor Krizka, Petr Somberg

arxiv:1509.00646 v1 · 2015-09-02 · math.RT · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDJEOXUICWUD7Y6X2UWG6AHUFB}

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	2026-05-18T01:34:06.571238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d2475e8815a83fe3d7d52c6f00f42850667dc3ee247c1542a2b97c23915136

Aliases

arxiv: 1509.00646 · arxiv_version: 1509.00646v1 · doi: 10.48550/arxiv.1509.00646 · pith_short_12: VDJEOXUICWUD · pith_short_16: VDJEOXUICWUD7Y6X · pith_short_8: VDJEOXUI

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/VDJEOXUICWUD7Y6X2UWG6AHUFB \
  | 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: a8d2475e8815a83fe3d7d52c6f00f42850667dc3ee247c1542a2b97c23915136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845781dd1b7cd1a1e2be2c95d46c2048c98c524a58cb72d115db93b6f456b28a",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-02T11:27:30Z",
    "title_canon_sha256": "cf5de5cfc0877b10857efbb4dfc5f9473a1fa61abebbbdd10266614b26632939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00646",
    "kind": "arxiv",
    "version": 1
  }
}