Pith Number

pith:EQULW2UN

pith:1995:EQULW2UNLQ2R3DTY5JHPYZT5RR

not attested not anchored not stored refs pending

Reflection groups in hyperbolic spaces and the denominator formula for Lorentzian Kac--Moody Lie algebras

Viacheslav V. Nikulin

arxiv:alg-geom/9503003 v6 · 1995-03-10 · alg-geom · hep-th · math.AG · math.QA · q-alg

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQULW2UNLQ2R3DTY5JHPYZT5RR}

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	2026-05-18T01:40:48.563159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2428bb6a8d5c351d8e78ea4efc667d8c70c5f3507fbd0e8954b649204542f128

Aliases

arxiv: alg-geom/9503003 · arxiv_version: alg-geom/9503003v6 · doi: 10.48550/arxiv.alg-geom/9503003 · pith_short_12: EQULW2UNLQ2R · pith_short_16: EQULW2UNLQ2R3DTY · pith_short_8: EQULW2UN

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/EQULW2UNLQ2R3DTY5JHPYZT5RR \
  | 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: 2428bb6a8d5c351d8e78ea4efc667d8c70c5f3507fbd0e8954b649204542f128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "881bc1f0ef62b5d550e9be701a58da17b752377379467e4b0eb1bf98d002cfc2",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.QA",
      "q-alg"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1995-03-10T12:35:58Z",
    "title_canon_sha256": "b7222da0108e16d95496c8e5c6b6b75de1a95d5cffde17501e4ef3c72fd6caff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9503003",
    "kind": "arxiv",
    "version": 6
  }
}