Pith Number

pith:LF4ANC5C

pith:2017:LF4ANC5CLDJXHVMR45KZO3JXJB

not attested not anchored not stored refs pending

Macdonald's formula for Kac-Moody groups over local fields

Guy Rousseau, Nicole Bardy-Panse, St\'ephane Gaussent

arxiv:1709.05212 v1 · 2017-09-15 · 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{LF4ANC5CLDJXHVMR45KZO3JXJB}

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	2026-05-17T23:53:33.813236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5978068ba258d373d591e755976d37486746d852336bc876e18dea678c26d1c1

Aliases

arxiv: 1709.05212 · arxiv_version: 1709.05212v1 · doi: 10.48550/arxiv.1709.05212 · pith_short_12: LF4ANC5CLDJX · pith_short_16: LF4ANC5CLDJXHVMR · pith_short_8: LF4ANC5C

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/LF4ANC5CLDJXHVMR45KZO3JXJB \
  | 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: 5978068ba258d373d591e755976d37486746d852336bc876e18dea678c26d1c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "006e2776c959d7d1c16e393069d5abba7a03a04b87b70cf019f69c4d41d43088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-15T13:52:49Z",
    "title_canon_sha256": "7434febbb01b7d649c996fa2795ba6880835e6c98c213c197c9b2fd31926be36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05212",
    "kind": "arxiv",
    "version": 1
  }
}