Pith Number

pith:LJOO5QXA

pith:2024:LJOO5QXAWERYCPMSIZXXTPGYN7

not attested not anchored not stored refs pending

Quantum roots for Kac-Moody root systems and finiteness properties of the Kac-Moody affine Bruhat order

Auguste Hebert (IECL, Paul Philippe (ICJ), UL)

arxiv:2405.12559 v1 · 2024-05-21 · 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{LJOO5QXAWERYCPMSIZXXTPGYN7}

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.

Cited by

1 paper in Pith

The Quantum Bruhat Graph for $\widehat{SL}_2$ and Double Affine Demazure Products

Receipt and verification

First computed	2026-07-05T08:21:21.863642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a5ceec2e0b123813d92466f79bcd86ff53593ff9aa1282559affabba21cbe0f

Aliases

arxiv: 2405.12559 · arxiv_version: 2405.12559v1 · doi: 10.48550/arxiv.2405.12559 · pith_short_12: LJOO5QXAWERY · pith_short_16: LJOO5QXAWERYCPMS · pith_short_8: LJOO5QXA

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/LJOO5QXAWERYCPMSIZXXTPGYN7 \
  | 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: 5a5ceec2e0b123813d92466f79bcd86ff53593ff9aa1282559affabba21cbe0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f75e6d86c71f7f28850c18c54507a88b9bb3082c5ca57583619e02eff50ee0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-05-21T07:57:51Z",
    "title_canon_sha256": "ed046079081000a650741315a510e8703ae7d548c2cca750bb273ab1b1626a3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.12559",
    "kind": "arxiv",
    "version": 1
  }
}