Pith Number

pith:KFIO5NW3

pith:2025:KFIO5NW3UMJZNHSUFRZZAYF2DN

not attested not anchored not stored refs pending

The commutator subalgebra of the Lie algebra associated with a right-angled Coxeter group

Fedor Vylegzhanin, Yakov Veryovkin

arxiv:2504.10305 v4 · 2025-04-14 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFIO5NW3UMJZNHSUFRZZAYF2DN}

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	2026-05-20T00:02:49.509550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5150eeb6dba313969e542c739060ba1b5af6c707091d8c94a2ee2c176b53d047

Aliases

arxiv: 2504.10305 · arxiv_version: 2504.10305v4 · doi: 10.48550/arxiv.2504.10305 · pith_short_12: KFIO5NW3UMJZ · pith_short_16: KFIO5NW3UMJZNHSU · pith_short_8: KFIO5NW3

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/KFIO5NW3UMJZNHSUFRZZAYF2DN \
  | 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: 5150eeb6dba313969e542c739060ba1b5af6c707091d8c94a2ee2c176b53d047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1127aa4806ac38b7f4c28badd1c2ae7512397cef380f03bdd83e88289435061",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-04-14T15:13:49Z",
    "title_canon_sha256": "40dd559ad30a7408c80db9a8995a471720a0c8a695b9471f99d81a95e19912b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.10305",
    "kind": "arxiv",
    "version": 4
  }
}