Pith Number

pith:VXYBZ2FI

pith:2025:VXYBZ2FIEXDT7VA2BZWD5ZXV42

not attested not anchored not stored refs pending

Center of Kostant algebra

Tam\'as Hausel

arxiv:2509.20159 v2 · 2025-09-24 · 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{VXYBZ2FIEXDT7VA2BZWD5ZXV42}

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	2026-07-01T01:17:41.650027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf01ce8a825c73fd41a0e6c3ee6f5e6aa640a869eb310fe258e931085e7a48b

Aliases

arxiv: 2509.20159 · arxiv_version: 2509.20159v2 · doi: 10.48550/arxiv.2509.20159 · pith_short_12: VXYBZ2FIEXDT · pith_short_16: VXYBZ2FIEXDT7VA2 · pith_short_8: VXYBZ2FI

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/VXYBZ2FIEXDT7VA2BZWD5ZXV42 \
  | 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: adf01ce8a825c73fd41a0e6c3ee6f5e6aa640a869eb310fe258e931085e7a48b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99c8f0420f80472461e4e35588fdfc8cade41772733b71e6e191b93a878ad95b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-09-24T14:26:57Z",
    "title_canon_sha256": "22f39fc65d962c97ae52720bfd53705d83a7f6a08b2c4e4da220afc7cb63e5c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.20159",
    "kind": "arxiv",
    "version": 2
  }
}