Pith Number

pith:LCE4GI5S

pith:2009:LCE4GI5SHIDI6HTMSEUS2OZP7K

not attested not anchored not stored refs pending

Invariants of the half-liberated orthogonal group

Roland Vergnioux, Teodor Banica

arxiv:0902.2719 v2 · 2009-02-16 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCE4GI5SHIDI6HTMSEUS2OZP7K}

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	2026-05-18T04:30:04.724537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5889c323b23a068f1e6c91292d3b2ffab8b808340d2d77a63649a8b86a9315e2

Aliases

arxiv: 0902.2719 · arxiv_version: 0902.2719v2 · doi: 10.48550/arxiv.0902.2719 · pith_short_12: LCE4GI5SHIDI · pith_short_16: LCE4GI5SHIDI6HTM · pith_short_8: LCE4GI5S

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/LCE4GI5SHIDI6HTMSEUS2OZP7K \
  | 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: 5889c323b23a068f1e6c91292d3b2ffab8b808340d2d77a63649a8b86a9315e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd389fdc75a9cfc62e4e0949c216b418d31955a938e17588db7914a1dc607df1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-02-16T16:02:26Z",
    "title_canon_sha256": "fb7eb490e747ff256dd22f3f33ad452e5e89d03f62d5b70cd2e626760c181557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2719",
    "kind": "arxiv",
    "version": 2
  }
}