Pith Number

pith:TPQMXDBB

pith:2010:TPQMXDBBOH5PVZE7YF5K7VNWK3

not attested not anchored not stored refs pending

A Brylinski filtration for affine Kac-Moody algebras

William Slofstra

arxiv:1012.2095 v3 · 2010-12-09 · 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{TPQMXDBBOH5PVZE7YF5K7VNWK3}

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	2026-05-18T02:26:01.431995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be0cb8c2171fafae49fc17aafd5b656c967f655187afb7faeb749c01b21257a

Aliases

arxiv: 1012.2095 · arxiv_version: 1012.2095v3 · doi: 10.48550/arxiv.1012.2095 · pith_short_12: TPQMXDBBOH5P · pith_short_16: TPQMXDBBOH5PVZE7 · pith_short_8: TPQMXDBB

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/TPQMXDBBOH5PVZE7YF5K7VNWK3 \
  | 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: 9be0cb8c2171fafae49fc17aafd5b656c967f655187afb7faeb749c01b21257a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0682dcde796be37c8338f00f9cfd19c6c0b83745a134341ed88118625d8d20a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-12-09T19:44:33Z",
    "title_canon_sha256": "f9553878dff1a945032f2dbe751c549a14fbf8847ce83f62d750382b26c25e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2095",
    "kind": "arxiv",
    "version": 3
  }
}