Pith Number

pith:LIM3V3VA

pith:2004:LIM3V3VAS3RD55ZY7JX2WZH2UL

not attested not anchored not stored refs pending

Tensor product structure of affine Demazure modules and limit constructions

Ghislain Fourier, Peter Littelmann

arxiv:math/0412432 v3 · 2004-12-21 · 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{LIM3V3VAS3RD55ZY7JX2WZH2UL}

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	2026-05-18T03:38:14.691548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a19baeea096e23ef738fa6fab64faa2ec973cb99f608efc66e0c287ccdc182c

Aliases

arxiv: math/0412432 · arxiv_version: math/0412432v3 · doi: 10.48550/arxiv.math/0412432 · pith_short_12: LIM3V3VAS3RD · pith_short_16: LIM3V3VAS3RD55ZY · pith_short_8: LIM3V3VA

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/LIM3V3VAS3RD55ZY7JX2WZH2UL \
  | 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: 5a19baeea096e23ef738fa6fab64faa2ec973cb99f608efc66e0c287ccdc182c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6047f12a7867f16b267cac4215c8f75cf677b78b3722140b259849990cc67d5b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-12-21T13:31:30Z",
    "title_canon_sha256": "69ee703c74e870a69654052c732c91614f35d41e3fc291fac9d56454d4e908e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412432",
    "kind": "arxiv",
    "version": 3
  }
}