Pith Number

pith:PYGRBECB

pith:2011:PYGRBECBPDGWLNA5Q7S4BUOJ4Z

not attested not anchored not stored refs pending

Demazure modules and Weyl modules: The twisted current case

Deniz Kus, Ghislain Fourier

arxiv:1108.5960 v1 · 2011-08-30 · math.RT · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYGRBECBPDGWLNA5Q7S4BUOJ4Z}

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	2026-05-18T03:12:22.779514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e0d10904178cd65b41d87e5c0d1c9e6479a45a0aaebf02d0738aa7037cf3b6c

Aliases

arxiv: 1108.5960 · arxiv_version: 1108.5960v1 · doi: 10.48550/arxiv.1108.5960 · pith_short_12: PYGRBECBPDGW · pith_short_16: PYGRBECBPDGWLNA5 · pith_short_8: PYGRBECB

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/PYGRBECBPDGWLNA5Q7S4BUOJ4Z \
  | 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: 7e0d10904178cd65b41d87e5c0d1c9e6479a45a0aaebf02d0738aa7037cf3b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aea0f6cfc0baf4a1140b38eb91784f76c4e55099687e262f6f5f2549e9b6e95",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-30T13:57:00Z",
    "title_canon_sha256": "87953ee2fa020fa9d449f929576f4dceac2e04e1e92bac961b7b24216a6fbb17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5960",
    "kind": "arxiv",
    "version": 1
  }
}